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INTUIA/Programa final/_internal/scipy/linalg/_flapack.cp312-win_amd64.pyd
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2026-03-15 13:27:50 +00:00
MZÿÿ¸@º´ Í!¸LÍ!This program cannot be run in DOS mode.
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œoýó¥oÿÿÿÿÿÿÿÿÿÿÿÿ(B—o0qŠo  œoô¥oÿÿÿÿÿÿÿÿÿÿÿÿ B—oóoàœo ô¥oÿÿÿÿÿÿÿÿÿÿÿÿàE—oo œoô¥oÿÿÿÿÿÿÿÿÿÿÿÿI—oo`œoô¥oÿÿÿÿÿÿÿÿÿÿÿÿð=—oðïo œo ô¥oÿÿÿÿÿÿÿÿÿÿÿÿB—opú‘oœo'ô¥oÿÿÿÿÿÿÿÿÿÿÿÿÐE—o°ö‘o`œo.ô¥oÿÿÿÿÿÿÿÿÿÿÿÿøH—o@ZoÀœo5ô¥oÿÿÿÿÿÿÿÿÿÿÿÿà=—o€Vo œo<ô¥oÿÿÿÿÿÿÿÿÿÿÿÿB—oÐT”oàý›oBô¥oÿÿÿÿÿÿÿÿÿÿÿÿØE—oÀN”o û›oHô¥oÿÿÿÿÿÿÿÿÿÿÿÿ
Wrapper for ``ilaver``.
Returns
-------
major : int
minor : int
patch : intx,y = zrot(x,y,c,s,[n,offx,incx,offy,incy,overwrite_x,overwrite_y])
Wrapper for ``zrot``.
Parameters
----------
x : input rank-1 array('D') with bounds (lx)
y : input rank-1 array('D') with bounds (ly)
c : input float
s : input complex
Other Parameters
----------------
n : input int, optional
Default: (lx-1-offx)/abs(incx)+1
overwrite_x : input int, optional
Default: 0
offx : input int, optional
Default: 0
incx : input int, optional
Default: 1
overwrite_y : input int, optional
Default: 0
offy : input int, optional
Default: 0
incy : input int, optional
Default: 1
Returns
-------
x : rank-1 array('D') with bounds (lx)
y : rank-1 array('D') with bounds (ly)x,y = crot(x,y,c,s,[n,offx,incx,offy,incy,overwrite_x,overwrite_y])
Wrapper for ``crot``.
Parameters
----------
x : input rank-1 array('F') with bounds (lx)
y : input rank-1 array('F') with bounds (ly)
c : input float
s : input complex
Other Parameters
----------------
n : input int, optional
Default: (lx-1-offx)/abs(incx)+1
overwrite_x : input int, optional
Default: 0
offx : input int, optional
Default: 0
incx : input int, optional
Default: 1
overwrite_y : input int, optional
Default: 0
offy : input int, optional
Default: 0
incy : input int, optional
Default: 1
Returns
-------
x : rank-1 array('F') with bounds (lx)
y : rank-1 array('F') with bounds (ly)cs,sn,r = zlartg(f,g)
Wrapper for ``zlartg``.
Parameters
----------
f : input complex
g : input complex
Returns
-------
cs : float
sn : complex
r : complexcs,sn,r = clartg(f,g)
Wrapper for ``clartg``.
Parameters
----------
f : input complex
g : input complex
Returns
-------
cs : float
sn : complex
r : complexcs,sn,r = dlartg(f,g)
Wrapper for ``dlartg``.
Parameters
----------
f : input float
g : input float
Returns
-------
cs : float
sn : float
r : floatcs,sn,r = slartg(f,g)
Wrapper for ``slartg``.
Parameters
----------
f : input float
g : input float
Returns
-------
cs : float
sn : float
r : floatc = zlarf(v,tau,c,work,[side,incv,overwrite_c])
Wrapper for ``zlarf``.
Parameters
----------
v : input rank-1 array('D') with bounds ((side == 'L'?1 - abs(incv) + m * abs(incv):1 - abs(incv) + n * abs(incv)))
tau : input complex
c : input rank-2 array('D') with bounds (m,n)
work : input rank-1 array('D') with bounds (lwork)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
incv : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (m,n)c = clarf(v,tau,c,work,[side,incv,overwrite_c])
Wrapper for ``clarf``.
Parameters
----------
v : input rank-1 array('F') with bounds ((side == 'L'?1 - abs(incv) + m * abs(incv):1 - abs(incv) + n * abs(incv)))
tau : input complex
c : input rank-2 array('F') with bounds (m,n)
work : input rank-1 array('F') with bounds (lwork)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
incv : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (m,n)c = dlarf(v,tau,c,work,[side,incv,overwrite_c])
Wrapper for ``dlarf``.
Parameters
----------
v : input rank-1 array('d') with bounds ((side == 'L'?1 - abs(incv) + m * abs(incv):1 - abs(incv) + n * abs(incv)))
tau : input float
c : input rank-2 array('d') with bounds (m,n)
work : input rank-1 array('d') with bounds (lwork)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
incv : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (m,n)c = slarf(v,tau,c,work,[side,incv,overwrite_c])
Wrapper for ``slarf``.
Parameters
----------
v : input rank-1 array('f') with bounds ((side == 'L'?1 - abs(incv) + m * abs(incv):1 - abs(incv) + n * abs(incv)))
tau : input float
c : input rank-2 array('f') with bounds (m,n)
work : input rank-1 array('f') with bounds (lwork)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
incv : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (m,n)alpha,x,tau = zlarfg(n,alpha,x,[incx,overwrite_x])
Wrapper for ``zlarfg``.
Parameters
----------
n : input int
alpha : input complex
x : input rank-1 array('D') with bounds (lx)
Other Parameters
----------------
overwrite_x : input int, optional
Default: 0
incx : input int, optional
Default: 1
Returns
-------
alpha : complex
x : rank-1 array('D') with bounds (lx)
tau : complexalpha,x,tau = clarfg(n,alpha,x,[incx,overwrite_x])
Wrapper for ``clarfg``.
Parameters
----------
n : input int
alpha : input complex
x : input rank-1 array('F') with bounds (lx)
Other Parameters
----------------
overwrite_x : input int, optional
Default: 0
incx : input int, optional
Default: 1
Returns
-------
alpha : complex
x : rank-1 array('F') with bounds (lx)
tau : complexalpha,x,tau = dlarfg(n,alpha,x,[incx,overwrite_x])
Wrapper for ``dlarfg``.
Parameters
----------
n : input int
alpha : input float
x : input rank-1 array('d') with bounds (lx)
Other Parameters
----------------
overwrite_x : input int, optional
Default: 0
incx : input int, optional
Default: 1
Returns
-------
alpha : float
x : rank-1 array('d') with bounds (lx)
tau : floatalpha,x,tau = slarfg(n,alpha,x,[incx,overwrite_x])
Wrapper for ``slarfg``.
Parameters
----------
n : input int
alpha : input float
x : input rank-1 array('f') with bounds (lx)
Other Parameters
----------------
overwrite_x : input int, optional
Default: 0
incx : input int, optional
Default: 1
Returns
-------
alpha : float
x : rank-1 array('f') with bounds (lx)
tau : floatn2 = zlange(norm,a)
Wrapper for ``zlange``.
Parameters
----------
norm : input bytes
a : input rank-2 array('D') with bounds (m,n)
Returns
-------
n2 : floatn2 = clange(norm,a)
Wrapper for ``clange``.
Parameters
----------
norm : input bytes
a : input rank-2 array('F') with bounds (m,n)
Returns
-------
n2 : floatn2 = dlange(norm,a)
Wrapper for ``dlange``.
Parameters
----------
norm : input bytes
a : input rank-2 array('d') with bounds (m,n)
Returns
-------
n2 : floatn2 = slange(norm,a)
Wrapper for ``slange``.
Parameters
----------
norm : input bytes
a : input rank-2 array('f') with bounds (m,n)
Returns
-------
n2 : floatx = slamch(cmach)
Wrapper for ``slamch``.
Parameters
----------
cmach : input bytes
Returns
-------
x : floatx = dlamch(cmach)
Wrapper for ``dlamch``.
Parameters
----------
cmach : input bytes
Returns
-------
x : floata = zlaswp(a,piv,[k1,k2,off,inc,overwrite_a])
Wrapper for ``zlaswp``.
Parameters
----------
a : input rank-2 array('D') with bounds (nrows,n)
piv : input rank-1 array('i') with bounds (npiv)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
k1 : input int, optional
Default: 0
k2 : input int, optional
Default: npiv-1
off : input int, optional
Default: 0
inc : input int, optional
Default: 1
Returns
-------
a : rank-2 array('D') with bounds (nrows,n)a = claswp(a,piv,[k1,k2,off,inc,overwrite_a])
Wrapper for ``claswp``.
Parameters
----------
a : input rank-2 array('F') with bounds (nrows,n)
piv : input rank-1 array('i') with bounds (npiv)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
k1 : input int, optional
Default: 0
k2 : input int, optional
Default: npiv-1
off : input int, optional
Default: 0
inc : input int, optional
Default: 1
Returns
-------
a : rank-2 array('F') with bounds (nrows,n)a = dlaswp(a,piv,[k1,k2,off,inc,overwrite_a])
Wrapper for ``dlaswp``.
Parameters
----------
a : input rank-2 array('d') with bounds (nrows,n)
piv : input rank-1 array('i') with bounds (npiv)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
k1 : input int, optional
Default: 0
k2 : input int, optional
Default: npiv-1
off : input int, optional
Default: 0
inc : input int, optional
Default: 1
Returns
-------
a : rank-2 array('d') with bounds (nrows,n)a = slaswp(a,piv,[k1,k2,off,inc,overwrite_a])
Wrapper for ``slaswp``.
Parameters
----------
a : input rank-2 array('f') with bounds (nrows,n)
piv : input rank-1 array('i') with bounds (npiv)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
k1 : input int, optional
Default: 0
k2 : input int, optional
Default: npiv-1
off : input int, optional
Default: 0
inc : input int, optional
Default: 1
Returns
-------
a : rank-2 array('f') with bounds (nrows,n)a,info = zlauum(c,[lower,overwrite_c])
Wrapper for ``zlauum``.
Parameters
----------
c : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds (n,n) and c storage
info : inta,info = clauum(c,[lower,overwrite_c])
Wrapper for ``clauum``.
Parameters
----------
c : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds (n,n) and c storage
info : inta,info = dlauum(c,[lower,overwrite_c])
Wrapper for ``dlauum``.
Parameters
----------
c : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a : rank-2 array('d') with bounds (n,n) and c storage
info : inta,info = slauum(c,[lower,overwrite_c])
Wrapper for ``slauum``.
Parameters
----------
c : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a : rank-2 array('f') with bounds (n,n) and c storage
info : intdelta,sigma,work,info = dlasd4(i,d,z,[rho])
Wrapper for ``dlasd4``.
Parameters
----------
i : input int
d : input rank-1 array('d') with bounds (n)
z : input rank-1 array('d') with bounds (n)
Other Parameters
----------------
rho : input float, optional
Default: 1.0
Returns
-------
delta : rank-1 array('d') with bounds (n)
sigma : float
work : rank-1 array('d') with bounds (n)
info : intdelta,sigma,work,info = slasd4(i,d,z,[rho])
Wrapper for ``slasd4``.
Parameters
----------
i : input int
d : input rank-1 array('f') with bounds (n)
z : input rank-1 array('f') with bounds (n)
Other Parameters
----------------
rho : input float, optional
Default: 1.0
Returns
-------
delta : rank-1 array('f') with bounds (n)
sigma : float
work : rank-1 array('f') with bounds (n)
info : intwork,info = ztzrzf_lwork(m,n)
Wrapper for ``ztzrzf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : complex
info : intwork,info = ctzrzf_lwork(m,n)
Wrapper for ``ctzrzf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : complex
info : intwork,info = dtzrzf_lwork(m,n)
Wrapper for ``dtzrzf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : float
info : intwork,info = stzrzf_lwork(m,n)
Wrapper for ``stzrzf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : float
info : intrz,tau,info = ztzrzf(a,[lwork,overwrite_a])
Wrapper for ``ztzrzf``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(m,1)
Returns
-------
rz : rank-2 array('D') with bounds (m,n) and a storage
tau : rank-1 array('D') with bounds (m)
info : intrz,tau,info = ctzrzf(a,[lwork,overwrite_a])
Wrapper for ``ctzrzf``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(m,1)
Returns
-------
rz : rank-2 array('F') with bounds (m,n) and a storage
tau : rank-1 array('F') with bounds (m)
info : intrz,tau,info = dtzrzf(a,[lwork,overwrite_a])
Wrapper for ``dtzrzf``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(m,1)
Returns
-------
rz : rank-2 array('d') with bounds (m,n) and a storage
tau : rank-1 array('d') with bounds (m)
info : intrz,tau,info = stzrzf(a,[lwork,overwrite_a])
Wrapper for ``stzrzf``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(m,1)
Returns
-------
rz : rank-2 array('f') with bounds (m,n) and a storage
tau : rank-1 array('f') with bounds (m)
info : intx,info = zpftrs(n,a,b,[transr,uplo,overwrite_b])
Wrapper for ``zpftrs``.
Parameters
----------
n : input int
a : input rank-1 array('D') with bounds (nt)
b : input rank-2 array('D') with bounds (ldb,nhrs)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nhrs) and b storage
info : intx,info = cpftrs(n,a,b,[transr,uplo,overwrite_b])
Wrapper for ``cpftrs``.
Parameters
----------
n : input int
a : input rank-1 array('F') with bounds (nt)
b : input rank-2 array('F') with bounds (ldb,nhrs)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nhrs) and b storage
info : intx,info = dpftrs(n,a,b,[transr,uplo,overwrite_b])
Wrapper for ``dpftrs``.
Parameters
----------
n : input int
a : input rank-1 array('d') with bounds (nt)
b : input rank-2 array('d') with bounds (ldb,nhrs)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nhrs) and b storage
info : intx,info = spftrs(n,a,b,[transr,uplo,overwrite_b])
Wrapper for ``spftrs``.
Parameters
----------
n : input int
a : input rank-1 array('f') with bounds (nt)
b : input rank-2 array('f') with bounds (ldb,nhrs)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nhrs) and b storage
info : intainv,info = zpftri(n,a,[transr,uplo,overwrite_a])
Wrapper for ``zpftri``.
Parameters
----------
n : input int
a : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
ainv : rank-1 array('D') with bounds (nt) and a storage
info : intainv,info = cpftri(n,a,[transr,uplo,overwrite_a])
Wrapper for ``cpftri``.
Parameters
----------
n : input int
a : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
ainv : rank-1 array('F') with bounds (nt) and a storage
info : intainv,info = dpftri(n,a,[transr,uplo,overwrite_a])
Wrapper for ``dpftri``.
Parameters
----------
n : input int
a : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
ainv : rank-1 array('d') with bounds (nt) and a storage
info : intainv,info = spftri(n,a,[transr,uplo,overwrite_a])
Wrapper for ``spftri``.
Parameters
----------
n : input int
a : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
ainv : rank-1 array('f') with bounds (nt) and a storage
info : intachol,info = zpftrf(n,a,[transr,uplo,overwrite_a])
Wrapper for ``zpftrf``.
Parameters
----------
n : input int
a : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
achol : rank-1 array('D') with bounds (nt) and a storage
info : intachol,info = cpftrf(n,a,[transr,uplo,overwrite_a])
Wrapper for ``cpftrf``.
Parameters
----------
n : input int
a : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
achol : rank-1 array('F') with bounds (nt) and a storage
info : intachol,info = dpftrf(n,a,[transr,uplo,overwrite_a])
Wrapper for ``dpftrf``.
Parameters
----------
n : input int
a : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
achol : rank-1 array('d') with bounds (nt) and a storage
info : intachol,info = spftrf(n,a,[transr,uplo,overwrite_a])
Wrapper for ``spftrf``.
Parameters
----------
n : input int
a : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
overwrite_a : input int, optional
Default: 0
Returns
-------
achol : rank-1 array('f') with bounds (nt) and a storage
info : intx = ztfsm(alpha,a,b,[transr,side,uplo,trans,diag,overwrite_b])
Wrapper for ``ztfsm``.
Parameters
----------
alpha : input complex
a : input rank-1 array('D') with bounds (nt)
b : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
side : input bytes, optional
Default: 'L'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (m,n) and b storagex = ctfsm(alpha,a,b,[transr,side,uplo,trans,diag,overwrite_b])
Wrapper for ``ctfsm``.
Parameters
----------
alpha : input complex
a : input rank-1 array('F') with bounds (nt)
b : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
side : input bytes, optional
Default: 'L'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (m,n) and b storagex = dtfsm(alpha,a,b,[transr,side,uplo,trans,diag,overwrite_b])
Wrapper for ``dtfsm``.
Parameters
----------
alpha : input float
a : input rank-1 array('d') with bounds (nt)
b : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
side : input bytes, optional
Default: 'L'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (m,n) and b storagex = stfsm(alpha,a,b,[transr,side,uplo,trans,diag,overwrite_b])
Wrapper for ``stfsm``.
Parameters
----------
alpha : input float
a : input rank-1 array('f') with bounds (nt)
b : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
side : input bytes, optional
Default: 'L'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (m,n) and b storageap,info = ztrttp(a,[uplo])
Wrapper for ``ztrttp``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('D') with bounds ((n + n * n) / 2)
info : intap,info = ctrttp(a,[uplo])
Wrapper for ``ctrttp``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('F') with bounds ((n + n * n) / 2)
info : intap,info = dtrttp(a,[uplo])
Wrapper for ``dtrttp``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('d') with bounds ((n + n * n) / 2)
info : intap,info = strttp(a,[uplo])
Wrapper for ``strttp``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('f') with bounds ((n + n * n) / 2)
info : intarf,info = ztrttf(a,[transr,uplo])
Wrapper for ``ztrttf``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('D') with bounds ((n + n * n) / 2)
info : intarf,info = ctrttf(a,[transr,uplo])
Wrapper for ``ctrttf``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('F') with bounds ((n + n * n) / 2)
info : intarf,info = dtrttf(a,[transr,uplo])
Wrapper for ``dtrttf``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('d') with bounds ((n + n * n) / 2)
info : intarf,info = strttf(a,[transr,uplo])
Wrapper for ``strttf``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('f') with bounds ((n + n * n) / 2)
info : inta,info = ztfttr(n,arf,[transr,uplo])
Wrapper for ``ztfttr``.
Parameters
----------
n : input int
arf : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('D') with bounds (lda,n)
info : inta,info = ctfttr(n,arf,[transr,uplo])
Wrapper for ``ctfttr``.
Parameters
----------
n : input int
arf : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('F') with bounds (lda,n)
info : inta,info = dtfttr(n,arf,[transr,uplo])
Wrapper for ``dtfttr``.
Parameters
----------
n : input int
arf : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('d') with bounds (lda,n)
info : inta,info = stfttr(n,arf,[transr,uplo])
Wrapper for ``stfttr``.
Parameters
----------
n : input int
arf : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('f') with bounds (lda,n)
info : intap,info = ztfttp(n,arf,[transr,uplo])
Wrapper for ``ztfttp``.
Parameters
----------
n : input int
arf : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('D') with bounds (nt)
info : intap,info = ctfttp(n,arf,[transr,uplo])
Wrapper for ``ctfttp``.
Parameters
----------
n : input int
arf : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('F') with bounds (nt)
info : intap,info = dtfttp(n,arf,[transr,uplo])
Wrapper for ``dtfttp``.
Parameters
----------
n : input int
arf : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('d') with bounds (nt)
info : intap,info = stfttp(n,arf,[transr,uplo])
Wrapper for ``stfttp``.
Parameters
----------
n : input int
arf : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
ap : rank-1 array('f') with bounds (nt)
info : inta,info = ztpttr(n,ap,[uplo])
Wrapper for ``ztpttr``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('D') with bounds (n,n)
info : inta,info = ctpttr(n,ap,[uplo])
Wrapper for ``ctpttr``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('F') with bounds (n,n)
info : inta,info = dtpttr(n,ap,[uplo])
Wrapper for ``dtpttr``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('d') with bounds (n,n)
info : inta,info = stpttr(n,ap,[uplo])
Wrapper for ``stpttr``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
a : rank-2 array('f') with bounds (n,n)
info : intarf,info = ztpttf(n,ap,[transr,uplo])
Wrapper for ``ztpttf``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('D') with bounds (nt)
info : intarf,info = ctpttf(n,ap,[transr,uplo])
Wrapper for ``ctpttf``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('F') with bounds (nt)
info : intarf,info = dtpttf(n,ap,[transr,uplo])
Wrapper for ``dtpttf``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('d') with bounds (nt)
info : intarf,info = stpttf(n,ap,[transr,uplo])
Wrapper for ``stpttf``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
Returns
-------
arf : rank-1 array('f') with bounds (nt)
info : intcout = zhfrk(n,k,alpha,a,beta,c,[transr,uplo,trans,overwrite_c])
Wrapper for ``zhfrk``.
Parameters
----------
n : input int
k : input int
alpha : input float
a : input rank-2 array('D') with bounds (lda,ka)
beta : input float
c : input rank-1 array('D') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
cout : rank-1 array('D') with bounds (nt) and c storagecout = chfrk(n,k,alpha,a,beta,c,[transr,uplo,trans,overwrite_c])
Wrapper for ``chfrk``.
Parameters
----------
n : input int
k : input int
alpha : input float
a : input rank-2 array('F') with bounds (lda,ka)
beta : input float
c : input rank-1 array('F') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
cout : rank-1 array('F') with bounds (nt) and c storagecout = dsfrk(n,k,alpha,a,beta,c,[transr,uplo,trans,overwrite_c])
Wrapper for ``dsfrk``.
Parameters
----------
n : input int
k : input int
alpha : input float
a : input rank-2 array('d') with bounds (lda,ka)
beta : input float
c : input rank-1 array('d') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
cout : rank-1 array('d') with bounds (nt) and c storagecout = ssfrk(n,k,alpha,a,beta,c,[transr,uplo,trans,overwrite_c])
Wrapper for ``ssfrk``.
Parameters
----------
n : input int
k : input int
alpha : input float
a : input rank-2 array('f') with bounds (lda,ka)
beta : input float
c : input rank-1 array('f') with bounds (nt)
Other Parameters
----------------
transr : input bytes, optional
Default: 'N'
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
cout : rank-1 array('f') with bounds (nt) and c storagevals,z,info = dstev(d,e,[compute_v,overwrite_d,overwrite_e])
Wrapper for ``dstev``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (MAX(-1 + n, 1))
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
compute_v : input int, optional
Default: 1
Returns
-------
vals : rank-1 array('d') with bounds (n) and d storage
z : rank-2 array('d') with bounds (ldz,(compute_v?n:1))
info : intvals,z,info = sstev(d,e,[compute_v,overwrite_d,overwrite_e])
Wrapper for ``sstev``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (MAX(-1 + n, 1))
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
compute_v : input int, optional
Default: 1
Returns
-------
vals : rank-1 array('f') with bounds (n) and d storage
z : rank-2 array('f') with bounds (ldz,(compute_v?n:1))
info : intwork,iwork,info = dstemr_lwork(d,e,range,vl,vu,il,iu,[compute_v,overwrite_d,overwrite_e])
Wrapper for ``dstemr_lwork``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (n)
range : input int
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
compute_v : input int, optional
Default: 1
Returns
-------
work : float
iwork : int
info : intwork,iwork,info = sstemr_lwork(d,e,range,vl,vu,il,iu,[compute_v,overwrite_d,overwrite_e])
Wrapper for ``sstemr_lwork``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (n)
range : input int
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
compute_v : input int, optional
Default: 1
Returns
-------
work : float
iwork : int
info : intm,w,z,info = dstemr(d,e,range,vl,vu,il,iu,[compute_v,lwork,liwork,overwrite_d])
Wrapper for ``dstemr``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (n)
range : input int
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
compute_v : input int, optional
Default: 1
lwork : input int, optional
Default: max((compute_v?18*n:12*n),1)
liwork : input int, optional
Default: (compute_v?10*n:8*n)
Returns
-------
m : int
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds (n,n)
info : intm,w,z,info = sstemr(d,e,range,vl,vu,il,iu,[compute_v,lwork,liwork,overwrite_d])
Wrapper for ``sstemr``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (n)
range : input int
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
compute_v : input int, optional
Default: 1
lwork : input int, optional
Default: max((compute_v?18*n:12*n),1)
liwork : input int, optional
Default: (compute_v?10*n:8*n)
Returns
-------
m : int
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds (n,n)
info : intz,info = dstein(d,e,w,iblock,isplit)
Wrapper for ``dstein``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (-1 + n)
w : input rank-1 array('d') with bounds (m)
iblock : input rank-1 array('i') with bounds (n)
isplit : input rank-1 array('i') with bounds (n)
Returns
-------
z : rank-2 array('d') with bounds (ldz,m)
info : intz,info = sstein(d,e,w,iblock,isplit)
Wrapper for ``sstein``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (-1 + n)
w : input rank-1 array('f') with bounds (m)
iblock : input rank-1 array('i') with bounds (n)
isplit : input rank-1 array('i') with bounds (n)
Returns
-------
z : rank-2 array('f') with bounds (ldz,m)
info : intvals,info = dsterf(d,e,[overwrite_d,overwrite_e])
Wrapper for ``dsterf``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (-1 + n)
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
Returns
-------
vals : rank-1 array('d') with bounds (n) and d storage
info : intvals,info = ssterf(d,e,[overwrite_d,overwrite_e])
Wrapper for ``ssterf``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (-1 + n)
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
Returns
-------
vals : rank-1 array('f') with bounds (n) and d storage
info : intm,w,iblock,isplit,info = dstebz(d,e,range,vl,vu,il,iu,tol,order)
Wrapper for ``dstebz``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (-1 + n)
range : input int
vl : input float
vu : input float
il : input int
iu : input int
tol : input float
order : input bytes
Returns
-------
m : int
w : rank-1 array('d') with bounds (n)
iblock : rank-1 array('i') with bounds (n)
isplit : rank-1 array('i') with bounds (n)
info : intm,w,iblock,isplit,info = sstebz(d,e,range,vl,vu,il,iu,tol,order)
Wrapper for ``sstebz``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (-1 + n)
range : input int
vl : input float
vu : input float
il : input int
iu : input int
tol : input float
order : input bytes
Returns
-------
m : int
w : rank-1 array('f') with bounds (n)
iblock : rank-1 array('i') with bounds (n)
isplit : rank-1 array('i') with bounds (n)
info : intw,z,m,ifail,info = dsbevx(ab,vl,vu,il,iu,[ldab,compute_v,range,lower,abstol,mmax,overwrite_ab])
Wrapper for ``dsbevx``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
ldab : input int, optional
Default: shape(ab,0)
compute_v : input int, optional
Default: 1
range : input int, optional
Default: 0
lower : input int, optional
Default: 0
abstol : input float, optional
Default: 0.0
mmax : input int, optional
Default: (compute_v?(range==2?(iu-il+1):n):1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds (ldz,mmax)
m : int
ifail : rank-1 array('i') with bounds ((compute_v?n:1))
info : intw,z,m,ifail,info = ssbevx(ab,vl,vu,il,iu,[ldab,compute_v,range,lower,abstol,mmax,overwrite_ab])
Wrapper for ``ssbevx``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
ldab : input int, optional
Default: shape(ab,0)
compute_v : input int, optional
Default: 1
range : input int, optional
Default: 0
lower : input int, optional
Default: 0
abstol : input float, optional
Default: 0.0
mmax : input int, optional
Default: (compute_v?(range==2?(iu-il+1):n):1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds (ldz,mmax)
m : int
ifail : rank-1 array('i') with bounds ((compute_v?n:1))
info : intw,z,info = dsbevd(ab,[compute_v,lower,ldab,liwork,overwrite_ab])
Wrapper for ``dsbevd``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds (ldz,ldz)
info : intw,z,info = ssbevd(ab,[compute_v,lower,ldab,liwork,overwrite_ab])
Wrapper for ``ssbevd``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds (ldz,ldz)
info : intw,z,info = dsbev(ab,[compute_v,lower,ldab,overwrite_ab])
Wrapper for ``dsbev``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds (ldz,ldz)
info : intw,z,info = ssbev(ab,[compute_v,lower,ldab,overwrite_ab])
Wrapper for ``ssbev``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds (ldz,ldz)
info : intx,info = zpptrs(n,ap,b,[lower,overwrite_b])
Wrapper for ``zpptrs``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (L)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = cpptrs(n,ap,b,[lower,overwrite_b])
Wrapper for ``cpptrs``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (L)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dpptrs(n,ap,b,[lower,overwrite_b])
Wrapper for ``dpptrs``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (L)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = spptrs(n,ap,b,[lower,overwrite_b])
Wrapper for ``spptrs``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (L)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intuli,info = zpptri(n,ap,[lower,overwrite_ap])
Wrapper for ``zpptri``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
uli : rank-1 array('D') with bounds (L) and ap storage
info : intuli,info = cpptri(n,ap,[lower,overwrite_ap])
Wrapper for ``cpptri``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
uli : rank-1 array('F') with bounds (L) and ap storage
info : intuli,info = dpptri(n,ap,[lower,overwrite_ap])
Wrapper for ``dpptri``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
uli : rank-1 array('d') with bounds (L) and ap storage
info : intuli,info = spptri(n,ap,[lower,overwrite_ap])
Wrapper for ``spptri``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
uli : rank-1 array('f') with bounds (L) and ap storage
info : intul,info = zpptrf(n,ap,[lower,overwrite_ap])
Wrapper for ``zpptrf``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
ul : rank-1 array('D') with bounds (L) and ap storage
info : intul,info = cpptrf(n,ap,[lower,overwrite_ap])
Wrapper for ``cpptrf``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
ul : rank-1 array('F') with bounds (L) and ap storage
info : intul,info = dpptrf(n,ap,[lower,overwrite_ap])
Wrapper for ``dpptrf``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
ul : rank-1 array('d') with bounds (L) and ap storage
info : intul,info = spptrf(n,ap,[lower,overwrite_ap])
Wrapper for ``spptrf``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (L)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ap : input int, optional
Default: 0
Returns
-------
ul : rank-1 array('f') with bounds (L) and ap storage
info : intx,info = zppsv(n,ap,b,[lower,overwrite_b])
Wrapper for ``zppsv``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (L)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = cppsv(n,ap,b,[lower,overwrite_b])
Wrapper for ``cppsv``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (L)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dppsv(n,ap,b,[lower,overwrite_b])
Wrapper for ``dppsv``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (L)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = sppsv(n,ap,b,[lower,overwrite_b])
Wrapper for ``sppsv``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (L)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intrcond,info = zppcon(n,ap,anorm,[lower])
Wrapper for ``zppcon``.
Parameters
----------
n : input int
ap : input rank-1 array('D') with bounds (L)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = cppcon(n,ap,anorm,[lower])
Wrapper for ``cppcon``.
Parameters
----------
n : input int
ap : input rank-1 array('F') with bounds (L)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = dppcon(n,ap,anorm,[lower])
Wrapper for ``dppcon``.
Parameters
----------
n : input int
ap : input rank-1 array('d') with bounds (L)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = sppcon(n,ap,anorm,[lower])
Wrapper for ``sppcon``.
Parameters
----------
n : input int
ap : input rank-1 array('f') with bounds (L)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intwork,info = zgglse_lwork(m,n,p)
Wrapper for ``zgglse_lwork``.
Parameters
----------
m : input int
n : input int
p : input int
Returns
-------
work : complex
info : intwork,info = cgglse_lwork(m,n,p)
Wrapper for ``cgglse_lwork``.
Parameters
----------
m : input int
n : input int
p : input int
Returns
-------
work : complex
info : intwork,info = dgglse_lwork(m,n,p)
Wrapper for ``dgglse_lwork``.
Parameters
----------
m : input int
n : input int
p : input int
Returns
-------
work : float
info : intwork,info = sgglse_lwork(m,n,p)
Wrapper for ``sgglse_lwork``.
Parameters
----------
m : input int
n : input int
p : input int
Returns
-------
work : float
info : intt,r,res,x,info = zgglse(a,b,c,d,[lwork,overwrite_a,overwrite_b,overwrite_c,overwrite_d])
Wrapper for ``zgglse``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
b : input rank-2 array('D') with bounds (p,n)
c : input rank-1 array('D') with bounds (m)
d : input rank-1 array('D') with bounds (p)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_c : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
lwork : input int, optional
Default: max(m+n+p,1)
Returns
-------
t : rank-2 array('D') with bounds (m,n) and a storage
r : rank-2 array('D') with bounds (p,n) and b storage
res : rank-1 array('D') with bounds (m) and c storage
x : rank-1 array('D') with bounds (n)
info : intt,r,res,x,info = cgglse(a,b,c,d,[lwork,overwrite_a,overwrite_b,overwrite_c,overwrite_d])
Wrapper for ``cgglse``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
b : input rank-2 array('F') with bounds (p,n)
c : input rank-1 array('F') with bounds (m)
d : input rank-1 array('F') with bounds (p)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_c : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
lwork : input int, optional
Default: max(m+n+p,1)
Returns
-------
t : rank-2 array('F') with bounds (m,n) and a storage
r : rank-2 array('F') with bounds (p,n) and b storage
res : rank-1 array('F') with bounds (m) and c storage
x : rank-1 array('F') with bounds (n)
info : intt,r,res,x,info = dgglse(a,b,c,d,[lwork,overwrite_a,overwrite_b,overwrite_c,overwrite_d])
Wrapper for ``dgglse``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
b : input rank-2 array('d') with bounds (p,n)
c : input rank-1 array('d') with bounds (m)
d : input rank-1 array('d') with bounds (p)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_c : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
lwork : input int, optional
Default: max(m+n+p,1)
Returns
-------
t : rank-2 array('d') with bounds (m,n) and a storage
r : rank-2 array('d') with bounds (p,n) and b storage
res : rank-1 array('d') with bounds (m) and c storage
x : rank-1 array('d') with bounds (n)
info : intt,r,res,x,info = sgglse(a,b,c,d,[lwork,overwrite_a,overwrite_b,overwrite_c,overwrite_d])
Wrapper for ``sgglse``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
b : input rank-2 array('f') with bounds (p,n)
c : input rank-1 array('f') with bounds (m)
d : input rank-1 array('f') with bounds (p)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_c : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
lwork : input int, optional
Default: max(m+n+p,1)
Returns
-------
t : rank-2 array('f') with bounds (m,n) and a storage
r : rank-2 array('f') with bounds (p,n) and b storage
res : rank-1 array('f') with bounds (m) and c storage
x : rank-1 array('f') with bounds (n)
info : intw,z,m,ifail,info = zhbevx(ab,vl,vu,il,iu,[ldab,compute_v,range,lower,abstol,mmax,overwrite_ab])
Wrapper for ``zhbevx``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
ldab : input int, optional
Default: shape(ab,0)
compute_v : input int, optional
Default: 1
range : input int, optional
Default: 0
lower : input int, optional
Default: 0
abstol : input float, optional
Default: 0.0
mmax : input int, optional
Default: (compute_v?(range==2?(iu-il+1):n):1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('D') with bounds (ldz,mmax)
m : int
ifail : rank-1 array('i') with bounds ((compute_v?n:1))
info : intw,z,m,ifail,info = chbevx(ab,vl,vu,il,iu,[ldab,compute_v,range,lower,abstol,mmax,overwrite_ab])
Wrapper for ``chbevx``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
vl : input float
vu : input float
il : input int
iu : input int
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
ldab : input int, optional
Default: shape(ab,0)
compute_v : input int, optional
Default: 1
range : input int, optional
Default: 0
lower : input int, optional
Default: 0
abstol : input float, optional
Default: 0.0
mmax : input int, optional
Default: (compute_v?(range==2?(iu-il+1):n):1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('F') with bounds (ldz,mmax)
m : int
ifail : rank-1 array('i') with bounds ((compute_v?n:1))
info : intw,z,info = zhbevd(ab,[compute_v,lower,ldab,lrwork,liwork,overwrite_ab])
Wrapper for ``zhbevd``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
lrwork : input int, optional
Default: (compute_v?1+5*n+2*n*n:n)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('D') with bounds (ldz,ldz)
info : intw,z,info = chbevd(ab,[compute_v,lower,ldab,lrwork,liwork,overwrite_ab])
Wrapper for ``chbevd``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 1
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
lrwork : input int, optional
Default: (compute_v?1+5*n+2*n*n:n)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('F') with bounds (ldz,ldz)
info : intx,scale,info = ztrsyl(a,b,c,[trana,tranb,isgn,overwrite_c])
Wrapper for ``ztrsyl``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,m)
b : input rank-2 array('D') with bounds (n,n)
c : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
trana : input bytes, optional
Default: 'N'
tranb : input bytes, optional
Default: 'N'
isgn : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (m,n) and c storage
scale : float
info : intx,scale,info = ctrsyl(a,b,c,[trana,tranb,isgn,overwrite_c])
Wrapper for ``ctrsyl``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,m)
b : input rank-2 array('F') with bounds (n,n)
c : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
trana : input bytes, optional
Default: 'N'
tranb : input bytes, optional
Default: 'N'
isgn : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (m,n) and c storage
scale : float
info : intx,scale,info = dtrsyl(a,b,c,[trana,tranb,isgn,overwrite_c])
Wrapper for ``dtrsyl``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,m)
b : input rank-2 array('d') with bounds (n,n)
c : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
trana : input bytes, optional
Default: 'N'
tranb : input bytes, optional
Default: 'N'
isgn : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (m,n) and c storage
scale : float
info : intx,scale,info = strsyl(a,b,c,[trana,tranb,isgn,overwrite_c])
Wrapper for ``strsyl``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,m)
b : input rank-2 array('f') with bounds (n,n)
c : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
trana : input bytes, optional
Default: 'N'
tranb : input bytes, optional
Default: 'N'
isgn : input int, optional
Default: 1
overwrite_c : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (m,n) and c storage
scale : float
info : intinv_c,info = ztrtri(c,[lower,unitdiag,overwrite_c])
Wrapper for ``ztrtri``.
Parameters
----------
c : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
Returns
-------
inv_c : rank-2 array('D') with bounds (n,n) and c storage
info : intinv_c,info = ctrtri(c,[lower,unitdiag,overwrite_c])
Wrapper for ``ctrtri``.
Parameters
----------
c : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
Returns
-------
inv_c : rank-2 array('F') with bounds (n,n) and c storage
info : intinv_c,info = dtrtri(c,[lower,unitdiag,overwrite_c])
Wrapper for ``dtrtri``.
Parameters
----------
c : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
Returns
-------
inv_c : rank-2 array('d') with bounds (n,n) and c storage
info : intinv_c,info = strtri(c,[lower,unitdiag,overwrite_c])
Wrapper for ``strtri``.
Parameters
----------
c : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
Returns
-------
inv_c : rank-2 array('f') with bounds (n,n) and c storage
info : intq,work,info = zungrq(a,tau,[lwork,overwrite_a])
Wrapper for ``zungrq``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
tau : input rank-1 array('D') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
q : rank-2 array('D') with bounds (m,n) and a storage
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intq,work,info = cungrq(a,tau,[lwork,overwrite_a])
Wrapper for ``cungrq``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
tau : input rank-1 array('F') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
q : rank-2 array('F') with bounds (m,n) and a storage
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intq,work,info = dorgrq(a,tau,[lwork,overwrite_a])
Wrapper for ``dorgrq``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
tau : input rank-1 array('d') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
q : rank-2 array('d') with bounds (m,n) and a storage
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intq,work,info = sorgrq(a,tau,[lwork,overwrite_a])
Wrapper for ``sorgrq``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
tau : input rank-1 array('f') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
q : rank-2 array('f') with bounds (m,n) and a storage
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intwork,info = zunmrz_lwork(m,n,[side,trans])
Wrapper for ``zunmrz_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
Returns
-------
work : complex
info : intwork,info = cunmrz_lwork(m,n,[side,trans])
Wrapper for ``cunmrz_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
Returns
-------
work : complex
info : intwork,info = dormrz_lwork(m,n,[side,trans])
Wrapper for ``dormrz_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
Returns
-------
work : float
info : intwork,info = sormrz_lwork(m,n,[side,trans])
Wrapper for ``sormrz_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
Returns
-------
work : float
info : intcq,info = zunmrz(a,tau,c,[side,trans,lwork,overwrite_c])
Wrapper for ``zunmrz``.
Parameters
----------
a : input rank-2 array('D') with bounds (k,nt)
tau : input rank-1 array('D') with bounds (k)
c : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
lwork : input int, optional
Default: MAX((side=='L'?n:m),1)
Returns
-------
cq : rank-2 array('D') with bounds (m,n) and c storage
info : intcq,info = cunmrz(a,tau,c,[side,trans,lwork,overwrite_c])
Wrapper for ``cunmrz``.
Parameters
----------
a : input rank-2 array('F') with bounds (k,nt)
tau : input rank-1 array('F') with bounds (k)
c : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
lwork : input int, optional
Default: MAX((side=='L'?n:m),1)
Returns
-------
cq : rank-2 array('F') with bounds (m,n) and c storage
info : intcq,info = dormrz(a,tau,c,[side,trans,lwork,overwrite_c])
Wrapper for ``dormrz``.
Parameters
----------
a : input rank-2 array('d') with bounds (k,nt)
tau : input rank-1 array('d') with bounds (k)
c : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
lwork : input int, optional
Default: MAX((side=='L'?n:m),1)
Returns
-------
cq : rank-2 array('d') with bounds (m,n) and c storage
info : intcq,info = sormrz(a,tau,c,[side,trans,lwork,overwrite_c])
Wrapper for ``sormrz``.
Parameters
----------
a : input rank-2 array('f') with bounds (k,nt)
tau : input rank-1 array('f') with bounds (k)
c : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
lwork : input int, optional
Default: MAX((side=='L'?n:m),1)
Returns
-------
cq : rank-2 array('f') with bounds (m,n) and c storage
info : inta,b,info = ztpmqrt(l,v,t,a,b,[side,trans,overwrite_a,overwrite_b])
Wrapper for ``ztpmqrt``.
Parameters
----------
l : input int
v : input rank-2 array('D') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('D') with bounds (nb,k)
a : input rank-2 array('D') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : rank-2 array('D') with bounds (m,n)
info : inta,b,info = ctpmqrt(l,v,t,a,b,[side,trans,overwrite_a,overwrite_b])
Wrapper for ``ctpmqrt``.
Parameters
----------
l : input int
v : input rank-2 array('F') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('F') with bounds (nb,k)
a : input rank-2 array('F') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : rank-2 array('F') with bounds (m,n)
info : inta,b,info = dtpmqrt(l,v,t,a,b,[side,trans,overwrite_a,overwrite_b])
Wrapper for ``dtpmqrt``.
Parameters
----------
l : input int
v : input rank-2 array('d') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('d') with bounds (nb,k)
a : input rank-2 array('d') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('d') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : rank-2 array('d') with bounds (m,n)
info : inta,b,info = stpmqrt(l,v,t,a,b,[side,trans,overwrite_a,overwrite_b])
Wrapper for ``stpmqrt``.
Parameters
----------
l : input int
v : input rank-2 array('f') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('f') with bounds (nb,k)
a : input rank-2 array('f') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('f') with bounds ((side == 'L'?k:m),(side == 'L'?n:k))
b : rank-2 array('f') with bounds (m,n)
info : inta,b,t,info = ztpqrt(l,nb,a,b,[overwrite_a,overwrite_b])
Wrapper for ``ztpqrt``.
Parameters
----------
l : input int
nb : input int
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds (n,n)
b : rank-2 array('D') with bounds (m,n)
t : rank-2 array('D') with bounds (nb,n)
info : inta,b,t,info = ctpqrt(l,nb,a,b,[overwrite_a,overwrite_b])
Wrapper for ``ctpqrt``.
Parameters
----------
l : input int
nb : input int
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds (n,n)
b : rank-2 array('F') with bounds (m,n)
t : rank-2 array('F') with bounds (nb,n)
info : inta,b,t,info = dtpqrt(l,nb,a,b,[overwrite_a,overwrite_b])
Wrapper for ``dtpqrt``.
Parameters
----------
l : input int
nb : input int
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('d') with bounds (n,n)
b : rank-2 array('d') with bounds (m,n)
t : rank-2 array('d') with bounds (nb,n)
info : inta,b,t,info = stpqrt(l,nb,a,b,[overwrite_a,overwrite_b])
Wrapper for ``stpqrt``.
Parameters
----------
l : input int
nb : input int
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
a : rank-2 array('f') with bounds (n,n)
b : rank-2 array('f') with bounds (m,n)
t : rank-2 array('f') with bounds (nb,n)
info : intc,info = zgemqrt(v,t,c,[side,trans,overwrite_c])
Wrapper for ``zgemqrt``.
Parameters
----------
v : input rank-2 array('D') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('D') with bounds (nb,k)
c : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (m,n)
info : intc,info = cgemqrt(v,t,c,[side,trans,overwrite_c])
Wrapper for ``cgemqrt``.
Parameters
----------
v : input rank-2 array('F') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('F') with bounds (nb,k)
c : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (m,n)
info : intc,info = dgemqrt(v,t,c,[side,trans,overwrite_c])
Wrapper for ``dgemqrt``.
Parameters
----------
v : input rank-2 array('d') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('d') with bounds (nb,k)
c : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (m,n)
info : intc,info = sgemqrt(v,t,c,[side,trans,overwrite_c])
Wrapper for ``sgemqrt``.
Parameters
----------
v : input rank-2 array('f') with bounds ((side == 'L'?m:n),k)
t : input rank-2 array('f') with bounds (nb,k)
c : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
side : input bytes, optional
Default: 'L'
trans : input bytes, optional
Default: 'N'
overwrite_c : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (m,n)
info : inta,t,info = zgeqrt(nb,a,[overwrite_a])
Wrapper for ``zgeqrt``.
Parameters
----------
nb : input int
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds (m,n)
t : rank-2 array('D') with bounds (nb,MIN(m, n))
info : inta,t,info = cgeqrt(nb,a,[overwrite_a])
Wrapper for ``cgeqrt``.
Parameters
----------
nb : input int
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds (m,n)
t : rank-2 array('F') with bounds (nb,MIN(m, n))
info : inta,t,info = dgeqrt(nb,a,[overwrite_a])
Wrapper for ``dgeqrt``.
Parameters
----------
nb : input int
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('d') with bounds (m,n)
t : rank-2 array('d') with bounds (nb,MIN(m, n))
info : inta,t,info = sgeqrt(nb,a,[overwrite_a])
Wrapper for ``sgeqrt``.
Parameters
----------
nb : input int
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('f') with bounds (m,n)
t : rank-2 array('f') with bounds (nb,MIN(m, n))
info : intcq,work,info = zunmqr(side,trans,a,tau,c,lwork,[overwrite_c])
Wrapper for ``zunmqr``.
Parameters
----------
side : input bytes
trans : input bytes
a : input rank-2 array('D') with bounds (lda,k)
tau : input rank-1 array('D') with bounds (k)
c : input rank-2 array('D') with bounds (ldc,n)
lwork : input int
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
Returns
-------
cq : rank-2 array('D') with bounds (ldc,n) and c storage
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intcq,work,info = cunmqr(side,trans,a,tau,c,lwork,[overwrite_c])
Wrapper for ``cunmqr``.
Parameters
----------
side : input bytes
trans : input bytes
a : input rank-2 array('F') with bounds (lda,k)
tau : input rank-1 array('F') with bounds (k)
c : input rank-2 array('F') with bounds (ldc,n)
lwork : input int
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
Returns
-------
cq : rank-2 array('F') with bounds (ldc,n) and c storage
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intcq,work,info = dormqr(side,trans,a,tau,c,lwork,[overwrite_c])
Wrapper for ``dormqr``.
Parameters
----------
side : input bytes
trans : input bytes
a : input rank-2 array('d') with bounds (lda,k)
tau : input rank-1 array('d') with bounds (k)
c : input rank-2 array('d') with bounds (ldc,n)
lwork : input int
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
Returns
-------
cq : rank-2 array('d') with bounds (ldc,n) and c storage
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intcq,work,info = sormqr(side,trans,a,tau,c,lwork,[overwrite_c])
Wrapper for ``sormqr``.
Parameters
----------
side : input bytes
trans : input bytes
a : input rank-2 array('f') with bounds (lda,k)
tau : input rank-1 array('f') with bounds (k)
c : input rank-2 array('f') with bounds (ldc,n)
lwork : input int
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
Returns
-------
cq : rank-2 array('f') with bounds (ldc,n) and c storage
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intq,work,info = zungqr(a,tau,[lwork,overwrite_a])
Wrapper for ``zungqr``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
tau : input rank-1 array('D') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
q : rank-2 array('D') with bounds (m,n) and a storage
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intq,work,info = cungqr(a,tau,[lwork,overwrite_a])
Wrapper for ``cungqr``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
tau : input rank-1 array('F') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
q : rank-2 array('F') with bounds (m,n) and a storage
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intq,work,info = dorgqr(a,tau,[lwork,overwrite_a])
Wrapper for ``dorgqr``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
tau : input rank-1 array('d') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
q : rank-2 array('d') with bounds (m,n) and a storage
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intq,work,info = sorgqr(a,tau,[lwork,overwrite_a])
Wrapper for ``sorgqr``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
tau : input rank-1 array('f') with bounds (k)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
q : rank-2 array('f') with bounds (m,n) and a storage
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intwork,info = zunghr_lwork(n,[lo,hi])
Wrapper for ``zunghr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : complex
info : intwork,info = cunghr_lwork(n,[lo,hi])
Wrapper for ``cunghr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : complex
info : intht,info = zunghr(a,tau,[lo,hi,lwork,overwrite_a])
Wrapper for ``zunghr``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
tau : input rank-1 array('D') with bounds (-1 + n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(hi-lo,1)
Returns
-------
ht : rank-2 array('D') with bounds (n,n) and a storage
info : intht,info = cunghr(a,tau,[lo,hi,lwork,overwrite_a])
Wrapper for ``cunghr``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
tau : input rank-1 array('F') with bounds (-1 + n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(hi-lo,1)
Returns
-------
ht : rank-2 array('F') with bounds (n,n) and a storage
info : intwork,info = dorghr_lwork(n,[lo,hi])
Wrapper for ``dorghr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : float
info : intwork,info = sorghr_lwork(n,[lo,hi])
Wrapper for ``sorghr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : float
info : intht,info = dorghr(a,tau,[lo,hi,lwork,overwrite_a])
Wrapper for ``dorghr``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
tau : input rank-1 array('d') with bounds (-1 + n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(hi-lo,1)
Returns
-------
ht : rank-2 array('d') with bounds (n,n) and a storage
info : intht,info = sorghr(a,tau,[lo,hi,lwork,overwrite_a])
Wrapper for ``sorghr``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
tau : input rank-1 array('f') with bounds (-1 + n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(hi-lo,1)
Returns
-------
ht : rank-2 array('f') with bounds (n,n) and a storage
info : intwork,rwork,info = zuncsd_lwork(m,p,q)
Wrapper for ``zuncsd_lwork``.
Parameters
----------
m : input int
p : input int
q : input int
Returns
-------
work : complex
rwork : float
info : intwork,rwork,info = cuncsd_lwork(m,p,q)
Wrapper for ``cuncsd_lwork``.
Parameters
----------
m : input int
p : input int
q : input int
Returns
-------
work : complex
rwork : float
info : intcs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = zuncsd(x11,x12,x21,x22,[compute_u1,compute_u2,compute_v1t,compute_v2t,trans,signs,lwork,lrwork,overwrite_x11,overwrite_x12,overwrite_x21,overwrite_x22])
Wrapper for ``zuncsd``.
Parameters
----------
x11 : input rank-2 array('D') with bounds (p,q)
x12 : input rank-2 array('D') with bounds (p,mmq)
x21 : input rank-2 array('D') with bounds (mmp,q)
x22 : input rank-2 array('D') with bounds (mmp,mmq)
Other Parameters
----------------
compute_u1 : input int, optional
Default: 1
compute_u2 : input int, optional
Default: 1
compute_v1t : input int, optional
Default: 1
compute_v2t : input int, optional
Default: 1
trans : input int, optional
Default: 0
signs : input int, optional
Default: 0
overwrite_x11 : input int, optional
Default: 0
overwrite_x12 : input int, optional
Default: 0
overwrite_x21 : input int, optional
Default: 0
overwrite_x22 : input int, optional
Default: 0
lwork : input int, optional
Default: 2*m+MAX(1,MAX(mmp,mmq))+1
lrwork : input int, optional
Default: 5*MAX(1,q-1)+4*MAX(1,q)+8*q+1
Returns
-------
cs11 : rank-2 array('D') with bounds (p,q) and x11 storage
cs12 : rank-2 array('D') with bounds (p,mmq) and x12 storage
cs21 : rank-2 array('D') with bounds (mmp,q) and x21 storage
cs22 : rank-2 array('D') with bounds (mmp,mmq) and x22 storage
theta : rank-1 array('d') with bounds (min(min(p, mmp), min(q, mmq)))
u1 : rank-2 array('D') with bounds ((compute_u1?p:0),(compute_u1?p:0))
u2 : rank-2 array('D') with bounds ((compute_u2?mmp:0),(compute_u2?mmp:0))
v1t : rank-2 array('D') with bounds ((compute_v1t?q:0),(compute_v1t?q:0))
v2t : rank-2 array('D') with bounds ((compute_v2t?mmq:0),(compute_v2t?mmq:0))
info : intcs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = cuncsd(x11,x12,x21,x22,[compute_u1,compute_u2,compute_v1t,compute_v2t,trans,signs,lwork,lrwork,overwrite_x11,overwrite_x12,overwrite_x21,overwrite_x22])
Wrapper for ``cuncsd``.
Parameters
----------
x11 : input rank-2 array('F') with bounds (p,q)
x12 : input rank-2 array('F') with bounds (p,mmq)
x21 : input rank-2 array('F') with bounds (mmp,q)
x22 : input rank-2 array('F') with bounds (mmp,mmq)
Other Parameters
----------------
compute_u1 : input int, optional
Default: 1
compute_u2 : input int, optional
Default: 1
compute_v1t : input int, optional
Default: 1
compute_v2t : input int, optional
Default: 1
trans : input int, optional
Default: 0
signs : input int, optional
Default: 0
overwrite_x11 : input int, optional
Default: 0
overwrite_x12 : input int, optional
Default: 0
overwrite_x21 : input int, optional
Default: 0
overwrite_x22 : input int, optional
Default: 0
lwork : input int, optional
Default: 2*m+MAX(1,MAX(mmp,mmq))+1
lrwork : input int, optional
Default: 5*MAX(1,q-1)+4*MAX(1,q)+8*q+1
Returns
-------
cs11 : rank-2 array('F') with bounds (p,q) and x11 storage
cs12 : rank-2 array('F') with bounds (p,mmq) and x12 storage
cs21 : rank-2 array('F') with bounds (mmp,q) and x21 storage
cs22 : rank-2 array('F') with bounds (mmp,mmq) and x22 storage
theta : rank-1 array('f') with bounds (min(min(p, mmp), min(q, mmq)))
u1 : rank-2 array('F') with bounds ((compute_u1?p:0),(compute_u1?p:0))
u2 : rank-2 array('F') with bounds ((compute_u2?mmp:0),(compute_u2?mmp:0))
v1t : rank-2 array('F') with bounds ((compute_v1t?q:0),(compute_v1t?q:0))
v2t : rank-2 array('F') with bounds ((compute_v2t?mmq:0),(compute_v2t?mmq:0))
info : intwork,info = dorcsd_lwork(m,p,q)
Wrapper for ``dorcsd_lwork``.
Parameters
----------
m : input int
p : input int
q : input int
Returns
-------
work : float
info : intwork,info = sorcsd_lwork(m,p,q)
Wrapper for ``sorcsd_lwork``.
Parameters
----------
m : input int
p : input int
q : input int
Returns
-------
work : float
info : intcs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = dorcsd(x11,x12,x21,x22,[compute_u1,compute_u2,compute_v1t,compute_v2t,trans,signs,lwork,overwrite_x11,overwrite_x12,overwrite_x21,overwrite_x22])
Wrapper for ``dorcsd``.
Parameters
----------
x11 : input rank-2 array('d') with bounds (p,q)
x12 : input rank-2 array('d') with bounds (p,mmq)
x21 : input rank-2 array('d') with bounds (mmp,q)
x22 : input rank-2 array('d') with bounds (mmp,mmq)
Other Parameters
----------------
compute_u1 : input int, optional
Default: 1
compute_u2 : input int, optional
Default: 1
compute_v1t : input int, optional
Default: 1
compute_v2t : input int, optional
Default: 1
trans : input int, optional
Default: 0
signs : input int, optional
Default: 0
overwrite_x11 : input int, optional
Default: 0
overwrite_x12 : input int, optional
Default: 0
overwrite_x21 : input int, optional
Default: 0
overwrite_x22 : input int, optional
Default: 0
lwork : input int, optional
Default: 2+2*m+5*MAX(1,q-1)+4*MAX(1,q)+8*q
Returns
-------
cs11 : rank-2 array('d') with bounds (p,q) and x11 storage
cs12 : rank-2 array('d') with bounds (p,mmq) and x12 storage
cs21 : rank-2 array('d') with bounds (mmp,q) and x21 storage
cs22 : rank-2 array('d') with bounds (mmp,mmq) and x22 storage
theta : rank-1 array('d') with bounds (min(min(p, mmp), min(q, mmq)))
u1 : rank-2 array('d') with bounds ((compute_u1?p:0),(compute_u1?p:0))
u2 : rank-2 array('d') with bounds ((compute_u2?mmp:0),(compute_u2?mmp:0))
v1t : rank-2 array('d') with bounds ((compute_v1t?q:0),(compute_v1t?q:0))
v2t : rank-2 array('d') with bounds ((compute_v2t?mmq:0),(compute_v2t?mmq:0))
info : intcs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = sorcsd(x11,x12,x21,x22,[compute_u1,compute_u2,compute_v1t,compute_v2t,trans,signs,lwork,overwrite_x11,overwrite_x12,overwrite_x21,overwrite_x22])
Wrapper for ``sorcsd``.
Parameters
----------
x11 : input rank-2 array('f') with bounds (p,q)
x12 : input rank-2 array('f') with bounds (p,mmq)
x21 : input rank-2 array('f') with bounds (mmp,q)
x22 : input rank-2 array('f') with bounds (mmp,mmq)
Other Parameters
----------------
compute_u1 : input int, optional
Default: 1
compute_u2 : input int, optional
Default: 1
compute_v1t : input int, optional
Default: 1
compute_v2t : input int, optional
Default: 1
trans : input int, optional
Default: 0
signs : input int, optional
Default: 0
overwrite_x11 : input int, optional
Default: 0
overwrite_x12 : input int, optional
Default: 0
overwrite_x21 : input int, optional
Default: 0
overwrite_x22 : input int, optional
Default: 0
lwork : input int, optional
Default: 2+2*m+5*MAX(1,q-1)+4*MAX(1,q)+8*q
Returns
-------
cs11 : rank-2 array('f') with bounds (p,q) and x11 storage
cs12 : rank-2 array('f') with bounds (p,mmq) and x12 storage
cs21 : rank-2 array('f') with bounds (mmp,q) and x21 storage
cs22 : rank-2 array('f') with bounds (mmp,mmq) and x22 storage
theta : rank-1 array('f') with bounds (min(min(p, mmp), min(q, mmq)))
u1 : rank-2 array('f') with bounds ((compute_u1?p:0),(compute_u1?p:0))
u2 : rank-2 array('f') with bounds ((compute_u2?mmp:0),(compute_u2?mmp:0))
v1t : rank-2 array('f') with bounds ((compute_v1t?q:0),(compute_v1t?q:0))
v2t : rank-2 array('f') with bounds ((compute_v2t?mmq:0),(compute_v2t?mmq:0))
info : intc,x,info = zpbsv(ab,b,[lower,ldab,overwrite_ab,overwrite_b])
Wrapper for ``zpbsv``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (ldab,n) and ab storage
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intc,x,info = cpbsv(ab,b,[lower,ldab,overwrite_ab,overwrite_b])
Wrapper for ``cpbsv``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (ldab,n) and ab storage
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intc,x,info = dpbsv(ab,b,[lower,ldab,overwrite_ab,overwrite_b])
Wrapper for ``dpbsv``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (ldab,n) and ab storage
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intc,x,info = spbsv(ab,b,[lower,ldab,overwrite_ab,overwrite_b])
Wrapper for ``spbsv``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (ldab,n) and ab storage
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intx,info = ztbtrs(ab,b,[uplo,trans,diag,overwrite_b])
Wrapper for ``ztbtrs``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = ctbtrs(ab,b,[uplo,trans,diag,overwrite_b])
Wrapper for ``ctbtrs``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dtbtrs(ab,b,[uplo,trans,diag,overwrite_b])
Wrapper for ``dtbtrs``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = stbtrs(ab,b,[uplo,trans,diag,overwrite_b])
Wrapper for ``stbtrs``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
trans : input bytes, optional
Default: 'N'
diag : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intx,info = ztrtrs(a,b,[lower,trans,unitdiag,lda,overwrite_b])
Wrapper for ``ztrtrs``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
trans : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
lda : input int, optional
Default: shape(a,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = ctrtrs(a,b,[lower,trans,unitdiag,lda,overwrite_b])
Wrapper for ``ctrtrs``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
trans : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
lda : input int, optional
Default: shape(a,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dtrtrs(a,b,[lower,trans,unitdiag,lda,overwrite_b])
Wrapper for ``dtrtrs``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
trans : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
lda : input int, optional
Default: shape(a,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = strtrs(a,b,[lower,trans,unitdiag,lda,overwrite_b])
Wrapper for ``strtrs``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
trans : input int, optional
Default: 0
unitdiag : input int, optional
Default: 0
lda : input int, optional
Default: shape(a,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intx,info = zpbtrs(ab,b,[lower,ldab,overwrite_b])
Wrapper for ``zpbtrs``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = cpbtrs(ab,b,[lower,ldab,overwrite_b])
Wrapper for ``cpbtrs``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dpbtrs(ab,b,[lower,ldab,overwrite_b])
Wrapper for ``dpbtrs``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = spbtrs(ab,b,[lower,ldab,overwrite_b])
Wrapper for ``spbtrs``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intc,info = zpbtrf(ab,[lower,ldab,overwrite_ab])
Wrapper for ``zpbtrf``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
Returns
-------
c : rank-2 array('D') with bounds (ldab,n) and ab storage
info : intc,info = cpbtrf(ab,[lower,ldab,overwrite_ab])
Wrapper for ``cpbtrf``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
Returns
-------
c : rank-2 array('F') with bounds (ldab,n) and ab storage
info : intc,info = dpbtrf(ab,[lower,ldab,overwrite_ab])
Wrapper for ``dpbtrf``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
Returns
-------
c : rank-2 array('d') with bounds (ldab,n) and ab storage
info : intc,info = spbtrf(ab,[lower,ldab,overwrite_ab])
Wrapper for ``spbtrf``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: shape(ab,0)
Returns
-------
c : rank-2 array('f') with bounds (ldab,n) and ab storage
info : intr,l,scale,dif,info = dtgsyl(a,b,c,d,e,f,[trans,ijob,lwork,overwrite_c,overwrite_f])
Wrapper for ``dtgsyl``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,m)
b : input rank-2 array('d') with bounds (n,n)
c : input rank-2 array('d') with bounds (m,n)
d : input rank-2 array('d') with bounds (m,m)
e : input rank-2 array('d') with bounds (n,n)
f : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
ijob : input int, optional
Default: 0
overwrite_c : input int, optional
Default: 0
overwrite_f : input int, optional
Default: 0
lwork : input int, optional
Default: max(1,2*m*n)
Returns
-------
r : rank-2 array('d') with bounds (m,n) and c storage
l : rank-2 array('d') with bounds (m,n) and f storage
scale : float
dif : float
info : intr,l,scale,dif,info = stgsyl(a,b,c,d,e,f,[trans,ijob,lwork,overwrite_c,overwrite_f])
Wrapper for ``stgsyl``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,m)
b : input rank-2 array('f') with bounds (n,n)
c : input rank-2 array('f') with bounds (m,n)
d : input rank-2 array('f') with bounds (m,m)
e : input rank-2 array('f') with bounds (n,n)
f : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
ijob : input int, optional
Default: 0
overwrite_c : input int, optional
Default: 0
overwrite_f : input int, optional
Default: 0
lwork : input int, optional
Default: max(1,2*m*n)
Returns
-------
r : rank-2 array('f') with bounds (m,n) and c storage
l : rank-2 array('f') with bounds (m,n) and f storage
scale : float
dif : float
info : intwork,iwork,info = ztgsen_lwork(select,a,b,[ijob])
Wrapper for ``ztgsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
Returns
-------
work : complex
iwork : int
info : intwork,iwork,info = ctgsen_lwork(select,a,b,[ijob])
Wrapper for ``ctgsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
Returns
-------
work : complex
iwork : int
info : intas,bs,alpha,beta,qs,zs,m,pl,pr,dif,info = ztgsen(select,a,b,q,z,[ijob,wantq,wantz,lwork,liwork,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``ztgsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
q : input rank-2 array('D') with bounds (n,n)
z : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
lwork : input int, optional
Default: (ijob==0?1:n+2)
liwork : input int, optional
Default: (ijob==0?1:n+2)
Returns
-------
as : rank-2 array('D') with bounds (n,n) and a storage
bs : rank-2 array('D') with bounds (n,n) and b storage
alpha : rank-1 array('D') with bounds (n)
beta : rank-1 array('D') with bounds (n)
qs : rank-2 array('D') with bounds (n,n) and q storage
zs : rank-2 array('D') with bounds (n,n) and z storage
m : int
pl : float
pr : float
dif : rank-1 array('d') with bounds (2)
info : intas,bs,alpha,beta,qs,zs,m,pl,pr,dif,info = ctgsen(select,a,b,q,z,[ijob,wantq,wantz,lwork,liwork,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``ctgsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
q : input rank-2 array('F') with bounds (n,n)
z : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
lwork : input int, optional
Default: (ijob==0?1:n+2)
liwork : input int, optional
Default: (ijob==0?1:n+2)
Returns
-------
as : rank-2 array('F') with bounds (n,n) and a storage
bs : rank-2 array('F') with bounds (n,n) and b storage
alpha : rank-1 array('F') with bounds (n)
beta : rank-1 array('F') with bounds (n)
qs : rank-2 array('F') with bounds (n,n) and q storage
zs : rank-2 array('F') with bounds (n,n) and z storage
m : int
pl : float
pr : float
dif : rank-1 array('f') with bounds (2)
info : intwork,iwork,info = dtgsen_lwork(select,a,[ijob])
Wrapper for ``dtgsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
Returns
-------
work : float
iwork : int
info : intwork,iwork,info = stgsen_lwork(select,a,[ijob])
Wrapper for ``stgsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
Returns
-------
work : float
iwork : int
info : intas,bs,alphar,alphai,beta,qs,zs,m,pl,pr,dif,info = dtgsen(select,a,b,q,z,[ijob,wantq,wantz,lwork,liwork,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``dtgsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,n)
q : input rank-2 array('d') with bounds (n,n)
z : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
lwork : input int, optional
Default: 4*n+16
liwork : input int, optional
Default: n+6
Returns
-------
as : rank-2 array('d') with bounds (n,n) and a storage
bs : rank-2 array('d') with bounds (n,n) and b storage
alphar : rank-1 array('d') with bounds (n)
alphai : rank-1 array('d') with bounds (n)
beta : rank-1 array('d') with bounds (n)
qs : rank-2 array('d') with bounds (n,n) and q storage
zs : rank-2 array('d') with bounds (n,n) and z storage
m : int
pl : float
pr : float
dif : rank-1 array('d') with bounds (2)
info : intas,bs,alphar,alphai,beta,qs,zs,m,pl,pr,dif,info = stgsen(select,a,b,q,z,[ijob,wantq,wantz,lwork,liwork,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``stgsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,n)
q : input rank-2 array('f') with bounds (n,n)
z : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
ijob : input int, optional
Default: 4
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
lwork : input int, optional
Default: 4*n+16
liwork : input int, optional
Default: n+6
Returns
-------
as : rank-2 array('f') with bounds (n,n) and a storage
bs : rank-2 array('f') with bounds (n,n) and b storage
alphar : rank-1 array('f') with bounds (n)
alphai : rank-1 array('f') with bounds (n)
beta : rank-1 array('f') with bounds (n)
qs : rank-2 array('f') with bounds (n,n) and q storage
zs : rank-2 array('f') with bounds (n,n) and z storage
m : int
pl : float
pr : float
dif : rank-1 array('f') with bounds (2)
info : intwork,info = ztrsen_lwork(select,t,[job])
Wrapper for ``ztrsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
Returns
-------
work : complex
info : intwork,info = ctrsen_lwork(select,t,[job])
Wrapper for ``ctrsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
Returns
-------
work : complex
info : intts,qs,w,m,s,sep,info = ztrsen(select,t,q,[job,wantq,lwork,overwrite_t,overwrite_q])
Wrapper for ``ztrsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('D') with bounds (n,n)
q : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
wantq : input int, optional
Default: 1
overwrite_t : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1,n)
Returns
-------
ts : rank-2 array('D') with bounds (n,n) and t storage
qs : rank-2 array('D') with bounds (n,n) and q storage
w : rank-1 array('D') with bounds (n)
m : int
s : float
sep : float
info : intts,qs,w,m,s,sep,info = ctrsen(select,t,q,[job,wantq,lwork,overwrite_t,overwrite_q])
Wrapper for ``ctrsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('F') with bounds (n,n)
q : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
wantq : input int, optional
Default: 1
overwrite_t : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1,n)
Returns
-------
ts : rank-2 array('F') with bounds (n,n) and t storage
qs : rank-2 array('F') with bounds (n,n) and q storage
w : rank-1 array('F') with bounds (n)
m : int
s : float
sep : float
info : intwork,iwork,info = dtrsen_lwork(select,t,[job])
Wrapper for ``dtrsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
Returns
-------
work : float
iwork : int
info : intwork,iwork,info = strsen_lwork(select,t,[job])
Wrapper for ``strsen_lwork``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
Returns
-------
work : float
iwork : int
info : intts,qs,wr,wi,m,s,sep,info = dtrsen(select,t,q,[job,wantq,lwork,liwork,overwrite_t,overwrite_q])
Wrapper for ``dtrsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('d') with bounds (n,n)
q : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
wantq : input int, optional
Default: 1
overwrite_t : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1,n)
liwork : input int, optional
Default: 1
Returns
-------
ts : rank-2 array('d') with bounds (n,n) and t storage
qs : rank-2 array('d') with bounds (n,n) and q storage
wr : rank-1 array('d') with bounds (n)
wi : rank-1 array('d') with bounds (n)
m : int
s : float
sep : float
info : intts,qs,wr,wi,m,s,sep,info = strsen(select,t,q,[job,wantq,lwork,liwork,overwrite_t,overwrite_q])
Wrapper for ``strsen``.
Parameters
----------
select : input rank-1 array('i') with bounds (n)
t : input rank-2 array('f') with bounds (n,n)
q : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
job : input bytes, optional
Default: 'B'
wantq : input int, optional
Default: 1
overwrite_t : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1,n)
liwork : input int, optional
Default: 1
Returns
-------
ts : rank-2 array('f') with bounds (n,n) and t storage
qs : rank-2 array('f') with bounds (n,n) and q storage
wr : rank-1 array('f') with bounds (n)
wi : rank-1 array('f') with bounds (n)
m : int
s : float
sep : float
info : inta,b,q,z,info = ztgexc(a,b,q,z,ifst,ilst,[wantq,wantz,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``ztgexc``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
b : input rank-2 array('D') with bounds (ldb,n)
q : input rank-2 array('D') with bounds (ldq,n)
z : input rank-2 array('D') with bounds (ldz,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds (lda,n)
b : rank-2 array('D') with bounds (ldb,n)
q : rank-2 array('D') with bounds (ldq,n)
z : rank-2 array('D') with bounds (ldz,n)
info : inta,b,q,z,info = ctgexc(a,b,q,z,ifst,ilst,[wantq,wantz,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``ctgexc``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
b : input rank-2 array('F') with bounds (ldb,n)
q : input rank-2 array('F') with bounds (ldq,n)
z : input rank-2 array('F') with bounds (ldz,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds (lda,n)
b : rank-2 array('F') with bounds (ldb,n)
q : rank-2 array('F') with bounds (ldq,n)
z : rank-2 array('F') with bounds (ldz,n)
info : inta,b,q,z,work,info = dtgexc(a,b,q,z,ifst,ilst,[wantq,wantz,lwork,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``dtgexc``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
b : input rank-2 array('d') with bounds (ldb,n)
q : input rank-2 array('d') with bounds (ldq,n)
z : input rank-2 array('d') with bounds (ldz,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
lwork : input int, optional
Default: max(4*n+16,1)
Returns
-------
a : rank-2 array('d') with bounds (lda,n)
b : rank-2 array('d') with bounds (ldb,n)
q : rank-2 array('d') with bounds (ldq,n)
z : rank-2 array('d') with bounds (ldz,n)
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : inta,b,q,z,work,info = stgexc(a,b,q,z,ifst,ilst,[wantq,wantz,lwork,overwrite_a,overwrite_b,overwrite_q,overwrite_z])
Wrapper for ``stgexc``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
b : input rank-2 array('f') with bounds (ldb,n)
q : input rank-2 array('f') with bounds (ldq,n)
z : input rank-2 array('f') with bounds (ldz,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
wantz : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
lwork : input int, optional
Default: max(4*n+16,1)
Returns
-------
a : rank-2 array('f') with bounds (lda,n)
b : rank-2 array('f') with bounds (ldb,n)
q : rank-2 array('f') with bounds (ldq,n)
z : rank-2 array('f') with bounds (ldz,n)
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : inta,q,info = ztrexc(a,q,ifst,ilst,[wantq,overwrite_a,overwrite_q])
Wrapper for ``ztrexc``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
q : input rank-2 array('D') with bounds (ldq,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds (lda,n)
q : rank-2 array('D') with bounds (ldq,n)
info : inta,q,info = ctrexc(a,q,ifst,ilst,[wantq,overwrite_a,overwrite_q])
Wrapper for ``ctrexc``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
q : input rank-2 array('F') with bounds (ldq,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds (lda,n)
q : rank-2 array('F') with bounds (ldq,n)
info : inta,q,info = dtrexc(a,q,ifst,ilst,[wantq,overwrite_a,overwrite_q])
Wrapper for ``dtrexc``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
q : input rank-2 array('d') with bounds (ldq,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
Returns
-------
a : rank-2 array('d') with bounds (lda,n)
q : rank-2 array('d') with bounds (ldq,n)
info : inta,q,info = strexc(a,q,ifst,ilst,[wantq,overwrite_a,overwrite_q])
Wrapper for ``strexc``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
q : input rank-2 array('f') with bounds (ldq,n)
ifst : input int
ilst : input int
Other Parameters
----------------
wantq : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_q : input int, optional
Default: 0
Returns
-------
a : rank-2 array('f') with bounds (lda,n)
q : rank-2 array('f') with bounds (ldq,n)
info : intsva,u,v,workout,iworkout,info = dgejsv(a,[joba,jobu,jobv,jobr,jobt,jobp,lwork,overwrite_a])
Wrapper for ``dgejsv``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
Other Parameters
----------------
joba : input int, optional
Default: 4
jobu : input int, optional
Default: 0
jobv : input int, optional
Default: 0
jobr : input int, optional
Default: 1
jobt : input int, optional
Default: 0
jobp : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(6*n+2*n*n, max(2*m+n, max(4*n+n*n, max(2*n+n*n+6, 7))))
Returns
-------
sva : rank-1 array('d') with bounds (n)
u : rank-2 array('d') with bounds (((jobt == 0)&&(jobu == 3)?0:m),((jobt == 0)&&(jobu == 3)?0:(jobu == 1?m:n)))
v : rank-2 array('d') with bounds (((jobt == 0)&&(jobv == 3)?0:ldv),((jobt == 0)&&(jobv == 3)?0:n))
workout : rank-1 array('d') with bounds (7)
iworkout : rank-1 array('i') with bounds (3)
info : intsva,u,v,workout,iworkout,info = sgejsv(a,[joba,jobu,jobv,jobr,jobt,jobp,lwork,overwrite_a])
Wrapper for ``sgejsv``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
Other Parameters
----------------
joba : input int, optional
Default: 4
jobu : input int, optional
Default: 0
jobv : input int, optional
Default: 0
jobr : input int, optional
Default: 1
jobt : input int, optional
Default: 0
jobp : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(6*n+2*n*n, max(2*m+n, max(4*n+n*n, max(2*n+n*n+6, 7))))
Returns
-------
sva : rank-1 array('f') with bounds (n)
u : rank-2 array('f') with bounds (((jobt == 0)&&(jobu == 3)?0:m),((jobt == 0)&&(jobu == 3)?0:(jobu == 1?m:n)))
v : rank-2 array('f') with bounds (((jobt == 0)&&(jobv == 3)?0:ldv),((jobt == 0)&&(jobv == 3)?0:n))
workout : rank-1 array('f') with bounds (7)
iworkout : rank-1 array('i') with bounds (3)
info : intdf,ef,x,rcond,ferr,berr,info = zptsvx(d,e,b,[fact,df,ef])
Wrapper for ``zptsvx``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('D') with bounds (max(0, -1 + n))
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
df : input rank-1 array('d') with bounds (n)
ef : input rank-1 array('D') with bounds (max(0, -1 + n))
Returns
-------
df : rank-1 array('d') with bounds (n)
ef : rank-1 array('D') with bounds (max(0, -1 + n))
x : rank-2 array('D') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intdf,ef,x,rcond,ferr,berr,info = cptsvx(d,e,b,[fact,df,ef])
Wrapper for ``cptsvx``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('F') with bounds (max(0, -1 + n))
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
df : input rank-1 array('f') with bounds (n)
ef : input rank-1 array('F') with bounds (max(0, -1 + n))
Returns
-------
df : rank-1 array('f') with bounds (n)
ef : rank-1 array('F') with bounds (max(0, -1 + n))
x : rank-2 array('F') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intdf,ef,x,rcond,ferr,berr,info = dptsvx(d,e,b,[fact,df,ef])
Wrapper for ``dptsvx``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (max(0, -1 + n))
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
df : input rank-1 array('d') with bounds (n)
ef : input rank-1 array('d') with bounds (max(0, -1 + n))
Returns
-------
df : rank-1 array('d') with bounds (n)
ef : rank-1 array('d') with bounds (max(0, -1 + n))
x : rank-2 array('d') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intdf,ef,x,rcond,ferr,berr,info = sptsvx(d,e,b,[fact,df,ef])
Wrapper for ``sptsvx``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (max(0, -1 + n))
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
df : input rank-1 array('f') with bounds (n)
ef : input rank-1 array('f') with bounds (max(0, -1 + n))
Returns
-------
df : rank-1 array('f') with bounds (n)
ef : rank-1 array('f') with bounds (max(0, -1 + n))
x : rank-2 array('f') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intd,e,z,info = zpteqr(d,e,z,[compute_z,overwrite_d,overwrite_e,overwrite_z])
Wrapper for ``zpteqr``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds ((n > 0?-1 + n:0))
z : input rank-2 array('D') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
Other Parameters
----------------
compute_z : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
Returns
-------
d : rank-1 array('d') with bounds (n)
e : rank-1 array('d') with bounds ((n > 0?-1 + n:0))
z : rank-2 array('D') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
info : intd,e,z,info = cpteqr(d,e,z,[compute_z,overwrite_d,overwrite_e,overwrite_z])
Wrapper for ``cpteqr``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds ((n > 0?-1 + n:0))
z : input rank-2 array('F') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
Other Parameters
----------------
compute_z : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
Returns
-------
d : rank-1 array('f') with bounds (n)
e : rank-1 array('f') with bounds ((n > 0?-1 + n:0))
z : rank-2 array('F') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
info : intd,e,z,info = dpteqr(d,e,z,[compute_z,overwrite_d,overwrite_e,overwrite_z])
Wrapper for ``dpteqr``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds ((n > 0?-1 + n:0))
z : input rank-2 array('d') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
Other Parameters
----------------
compute_z : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
Returns
-------
d : rank-1 array('d') with bounds (n)
e : rank-1 array('d') with bounds ((n > 0?-1 + n:0))
z : rank-2 array('d') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
info : intd,e,z,info = spteqr(d,e,z,[compute_z,overwrite_d,overwrite_e,overwrite_z])
Wrapper for ``spteqr``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds ((n > 0?-1 + n:0))
z : input rank-2 array('f') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
Other Parameters
----------------
compute_z : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_z : input int, optional
Default: 0
Returns
-------
d : rank-1 array('f') with bounds (n)
e : rank-1 array('f') with bounds ((n > 0?-1 + n:0))
z : rank-2 array('f') with bounds ((compute_z == 0?shape(z, 0):max(1, n)),(compute_z == 0?shape(z, 1):n))
info : intx,info = zpttrs(d,e,b,[lower,overwrite_b])
Wrapper for ``zpttrs``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('D') with bounds ((n > 0?-1 + n:0))
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = cpttrs(d,e,b,[lower,overwrite_b])
Wrapper for ``cpttrs``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('F') with bounds ((n > 0?-1 + n:0))
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dpttrs(d,e,b,[overwrite_b])
Wrapper for ``dpttrs``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds ((n > 0?-1 + n:0))
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = spttrs(d,e,b,[overwrite_b])
Wrapper for ``spttrs``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds ((n > 0?-1 + n:0))
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intd,e,info = zpttrf(d,e,[overwrite_d,overwrite_e])
Wrapper for ``zpttrf``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('D') with bounds ((n > 0?-1 + n:0))
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
Returns
-------
d : rank-1 array('d') with bounds (n)
e : rank-1 array('D') with bounds ((n > 0?-1 + n:0))
info : intd,e,info = cpttrf(d,e,[overwrite_d,overwrite_e])
Wrapper for ``cpttrf``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('F') with bounds ((n > 0?-1 + n:0))
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
Returns
-------
d : rank-1 array('f') with bounds (n)
e : rank-1 array('F') with bounds ((n > 0?-1 + n:0))
info : intd,e,info = dpttrf(d,e,[overwrite_d,overwrite_e])
Wrapper for ``dpttrf``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds ((n > 0?-1 + n:0))
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
Returns
-------
d : rank-1 array('d') with bounds (n)
e : rank-1 array('d') with bounds ((n > 0?-1 + n:0))
info : intd,e,info = spttrf(d,e,[overwrite_d,overwrite_e])
Wrapper for ``spttrf``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds ((n > 0?-1 + n:0))
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
Returns
-------
d : rank-1 array('f') with bounds (n)
e : rank-1 array('f') with bounds ((n > 0?-1 + n:0))
info : intd,du,x,info = zptsv(d,e,b,[overwrite_d,overwrite_e,overwrite_b])
Wrapper for ``zptsv``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('D') with bounds (-1 + n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
d : rank-1 array('d') with bounds (n)
du : rank-1 array('D') with bounds (-1 + n) and e storage
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intd,du,x,info = cptsv(d,e,b,[overwrite_d,overwrite_e,overwrite_b])
Wrapper for ``cptsv``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('F') with bounds (-1 + n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
d : rank-1 array('f') with bounds (n)
du : rank-1 array('F') with bounds (-1 + n) and e storage
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intd,du,x,info = dptsv(d,e,b,[overwrite_d,overwrite_e,overwrite_b])
Wrapper for ``dptsv``.
Parameters
----------
d : input rank-1 array('d') with bounds (n)
e : input rank-1 array('d') with bounds (-1 + n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
d : rank-1 array('d') with bounds (n)
du : rank-1 array('d') with bounds (-1 + n) and e storage
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intd,du,x,info = sptsv(d,e,b,[overwrite_d,overwrite_e,overwrite_b])
Wrapper for ``sptsv``.
Parameters
----------
d : input rank-1 array('f') with bounds (n)
e : input rank-1 array('f') with bounds (-1 + n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_d : input int, optional
Default: 0
overwrite_e : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
d : rank-1 array('f') with bounds (n)
du : rank-1 array('f') with bounds (-1 + n) and e storage
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intinv_a,info = zpotri(c,[lower,overwrite_c])
Wrapper for ``zpotri``.
Parameters
----------
c : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
inv_a : rank-2 array('D') with bounds (n,n) and c storage
info : intinv_a,info = cpotri(c,[lower,overwrite_c])
Wrapper for ``cpotri``.
Parameters
----------
c : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
inv_a : rank-2 array('F') with bounds (n,n) and c storage
info : intinv_a,info = dpotri(c,[lower,overwrite_c])
Wrapper for ``dpotri``.
Parameters
----------
c : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
inv_a : rank-2 array('d') with bounds (n,n) and c storage
info : intinv_a,info = spotri(c,[lower,overwrite_c])
Wrapper for ``spotri``.
Parameters
----------
c : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_c : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
inv_a : rank-2 array('f') with bounds (n,n) and c storage
info : intx,info = zpotrs(c,b,[lower,overwrite_b])
Wrapper for ``zpotrs``.
Parameters
----------
c : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intx,info = cpotrs(c,b,[lower,overwrite_b])
Wrapper for ``cpotrs``.
Parameters
----------
c : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intx,info = dpotrs(c,b,[lower,overwrite_b])
Wrapper for ``dpotrs``.
Parameters
----------
c : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intx,info = spotrs(c,b,[lower,overwrite_b])
Wrapper for ``spotrs``.
Parameters
----------
c : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intc,info = zpotrf(a,[lower,clean,overwrite_a])
Wrapper for ``zpotrf``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lower : input int, optional
Default: 0
clean : input int, optional
Default: 1
Returns
-------
c : rank-2 array('D') with bounds (n,n) and a storage
info : intc,info = cpotrf(a,[lower,clean,overwrite_a])
Wrapper for ``cpotrf``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lower : input int, optional
Default: 0
clean : input int, optional
Default: 1
Returns
-------
c : rank-2 array('F') with bounds (n,n) and a storage
info : intc,info = dpotrf(a,[lower,clean,overwrite_a])
Wrapper for ``dpotrf``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lower : input int, optional
Default: 0
clean : input int, optional
Default: 1
Returns
-------
c : rank-2 array('d') with bounds (n,n) and a storage
info : intc,info = spotrf(a,[lower,clean,overwrite_a])
Wrapper for ``spotrf``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lower : input int, optional
Default: 0
clean : input int, optional
Default: 1
Returns
-------
c : rank-2 array('f') with bounds (n,n) and a storage
info : intrcond,info = zpocon(a,anorm,[uplo])
Wrapper for ``zpocon``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
anorm : input float
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
rcond : float
info : intrcond,info = cpocon(a,anorm,[uplo])
Wrapper for ``cpocon``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
anorm : input float
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
rcond : float
info : intrcond,info = dpocon(a,anorm,[uplo])
Wrapper for ``dpocon``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
anorm : input float
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
rcond : float
info : intrcond,info = spocon(a,anorm,[uplo])
Wrapper for ``spocon``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
anorm : input float
Other Parameters
----------------
uplo : input bytes, optional
Default: 'U'
Returns
-------
rcond : float
info : inta_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = zposvx(a,b,[fact,af,equed,s,lower,overwrite_a,overwrite_b])
Wrapper for ``zposvx``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('D') with bounds (n,n)
equed : input bytes, optional
Default: 'Y'
s : input rank-1 array('d') with bounds (n)
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('D') with bounds (n,n) and a storage
lu : rank-2 array('D') with bounds (n,n) and af storage
equed : bytes
s : rank-1 array('d') with bounds (n)
b_s : rank-2 array('D') with bounds (n,nrhs) and b storage
x : rank-2 array('D') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : inta_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = cposvx(a,b,[fact,af,equed,s,lower,overwrite_a,overwrite_b])
Wrapper for ``cposvx``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('F') with bounds (n,n)
equed : input bytes, optional
Default: 'Y'
s : input rank-1 array('f') with bounds (n)
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('F') with bounds (n,n) and a storage
lu : rank-2 array('F') with bounds (n,n) and af storage
equed : bytes
s : rank-1 array('f') with bounds (n)
b_s : rank-2 array('F') with bounds (n,nrhs) and b storage
x : rank-2 array('F') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : inta_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = dposvx(a,b,[fact,af,equed,s,lower,overwrite_a,overwrite_b])
Wrapper for ``dposvx``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('d') with bounds (n,n)
equed : input bytes, optional
Default: 'Y'
s : input rank-1 array('d') with bounds (n)
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('d') with bounds (n,n) and a storage
lu : rank-2 array('d') with bounds (n,n) and af storage
equed : bytes
s : rank-1 array('d') with bounds (n)
b_s : rank-2 array('d') with bounds (n,nrhs) and b storage
x : rank-2 array('d') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : inta_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = sposvx(a,b,[fact,af,equed,s,lower,overwrite_a,overwrite_b])
Wrapper for ``sposvx``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('f') with bounds (n,n)
equed : input bytes, optional
Default: 'Y'
s : input rank-1 array('f') with bounds (n)
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('f') with bounds (n,n) and a storage
lu : rank-2 array('f') with bounds (n,n) and af storage
equed : bytes
s : rank-1 array('f') with bounds (n)
b_s : rank-2 array('f') with bounds (n,nrhs) and b storage
x : rank-2 array('f') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intc,x,info = zposv(a,b,[lower,overwrite_a,overwrite_b])
Wrapper for ``zposv``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (n,n) and a storage
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intc,x,info = cposv(a,b,[lower,overwrite_a,overwrite_b])
Wrapper for ``cposv``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (n,n) and a storage
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intc,x,info = dposv(a,b,[lower,overwrite_a,overwrite_b])
Wrapper for ``dposv``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (n,n) and a storage
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intc,x,info = sposv(a,b,[lower,overwrite_a,overwrite_b])
Wrapper for ``sposv``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (n,n) and a storage
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intc,piv,rank_c,info = zpstf2(a,[tol,lower,overwrite_a])
Wrapper for ``zpstf2``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = cpstf2(a,[tol,lower,overwrite_a])
Wrapper for ``cpstf2``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = dpstf2(a,[tol,lower,overwrite_a])
Wrapper for ``dpstf2``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = spstf2(a,[tol,lower,overwrite_a])
Wrapper for ``spstf2``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = zpstrf(a,[tol,lower,overwrite_a])
Wrapper for ``zpstrf``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = cpstrf(a,[tol,lower,overwrite_a])
Wrapper for ``cpstrf``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = dpstrf(a,[tol,lower,overwrite_a])
Wrapper for ``dpstrf``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : intc,piv,rank_c,info = spstrf(a,[tol,lower,overwrite_a])
Wrapper for ``spstrf``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
tol : input float, optional
Default: -1.0
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
rank_c : int
info : ints,scond,amax,info = zheequb(a,[lower])
Wrapper for ``zheequb``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
s : rank-1 array('d') with bounds (n)
scond : float
amax : float
info : ints,scond,amax,info = cheequb(a,[lower])
Wrapper for ``cheequb``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
s : rank-1 array('f') with bounds (n)
scond : float
amax : float
info : ints,scond,amax,info = zsyequb(a,[lower])
Wrapper for ``zsyequb``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
s : rank-1 array('d') with bounds (n)
scond : float
amax : float
info : ints,scond,amax,info = csyequb(a,[lower])
Wrapper for ``csyequb``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
s : rank-1 array('f') with bounds (n)
scond : float
amax : float
info : ints,scond,amax,info = dsyequb(a,[lower])
Wrapper for ``dsyequb``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
s : rank-1 array('d') with bounds (n)
scond : float
amax : float
info : ints,scond,amax,info = ssyequb(a,[lower])
Wrapper for ``ssyequb``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
s : rank-1 array('f') with bounds (n)
scond : float
amax : float
info : intwork,info = zhegvx_lwork(n,[uplo])
Wrapper for ``zhegvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : complex
info : intwork,info = chegvx_lwork(n,[uplo])
Wrapper for ``chegvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : complex
info : intw,z,m,ifail,info = zhegvx(a,b,[itype,jobz,range,uplo,vl,vu,il,iu,abstol,lwork,overwrite_a,overwrite_b])
Wrapper for ``zhegvx``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
range : input bytes, optional
Default: 'A'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('D') with bounds ((jobz == 'V'?MAX(0, n):0),(jobz == 'V'?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds ((jobz == 'N'?0:n))
info : intw,z,m,ifail,info = chegvx(a,b,[itype,jobz,range,uplo,vl,vu,il,iu,abstol,lwork,overwrite_a,overwrite_b])
Wrapper for ``chegvx``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
range : input bytes, optional
Default: 'A'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('F') with bounds ((jobz == 'V'?MAX(0, n):0),(jobz == 'V'?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds ((jobz == 'N'?0:n))
info : intwork,info = dsygvx_lwork(n,[uplo])
Wrapper for ``dsygvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : float
info : intwork,info = ssygvx_lwork(n,[uplo])
Wrapper for ``ssygvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : float
info : intw,z,m,ifail,info = dsygvx(a,b,[itype,jobz,range,uplo,vl,vu,il,iu,abstol,lwork,overwrite_a,overwrite_b])
Wrapper for ``dsygvx``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
range : input bytes, optional
Default: 'A'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(8*n,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds ((jobz == 'V'?MAX(0, n):0),(jobz == 'V'?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds ((jobz == 'N'?0:n))
info : intw,z,m,ifail,info = ssygvx(a,b,[itype,jobz,range,uplo,vl,vu,il,iu,abstol,lwork,overwrite_a,overwrite_b])
Wrapper for ``ssygvx``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
range : input bytes, optional
Default: 'A'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(8*n,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds ((jobz == 'V'?MAX(0, n):0),(jobz == 'V'?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds ((jobz == 'N'?0:n))
info : intw,v,info = zhegvd(a,b,[itype,jobz,uplo,lwork,lrwork,liwork,overwrite_a,overwrite_b])
Wrapper for ``zhegvd``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: (jobz=='N'?n+1:n*(n+2))
lrwork : input int, optional
Default: max((jobz=='N'?n:2*n*n+5*n+1),1)
liwork : input int, optional
Default: (jobz=='N'?1:5*n+3)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('D') with bounds (n,n) and a storage
info : intw,v,info = chegvd(a,b,[itype,jobz,uplo,lwork,lrwork,liwork,overwrite_a,overwrite_b])
Wrapper for ``chegvd``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: (jobz=='N'?n+1:n*(n+2))
lrwork : input int, optional
Default: max((jobz=='N'?n:2*n*n+5*n+1),1)
liwork : input int, optional
Default: (jobz=='N'?1:5*n+3)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('F') with bounds (n,n) and a storage
info : intw,v,info = dsygvd(a,b,[itype,jobz,uplo,lwork,liwork,overwrite_a,overwrite_b])
Wrapper for ``dsygvd``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: (jobz=='N'?2*n+1:1+6*n+2*n*n)
liwork : input int, optional
Default: (jobz=='N'?1:5*n+3)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('d') with bounds (n,n) and a storage
info : intw,v,info = ssygvd(a,b,[itype,jobz,uplo,lwork,liwork,overwrite_a,overwrite_b])
Wrapper for ``ssygvd``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: (jobz=='N'?2*n+1:1+6*n+2*n*n)
liwork : input int, optional
Default: (jobz=='N'?1:5*n+3)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('f') with bounds (n,n) and a storage
info : intwork,info = zhegv_lwork(n,[uplo])
Wrapper for ``zhegv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : complex
info : intwork,info = chegv_lwork(n,[uplo])
Wrapper for ``chegv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : complex
info : intw,v,info = zhegv(a,b,[itype,jobz,uplo,lwork,overwrite_a,overwrite_b])
Wrapper for ``zhegv``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n-1,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('D') with bounds (n,n) and a storage
info : intw,v,info = chegv(a,b,[itype,jobz,uplo,lwork,overwrite_a,overwrite_b])
Wrapper for ``chegv``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n-1,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('F') with bounds (n,n) and a storage
info : intwork,info = dsygv_lwork(n,[uplo])
Wrapper for ``dsygv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : float
info : intwork,info = ssygv_lwork(n,[uplo])
Wrapper for ``ssygv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
uplo : input bytes, optional
Default: 'L'
Returns
-------
work : float
info : intw,v,info = dsygv(a,b,[itype,jobz,uplo,lwork,overwrite_a,overwrite_b])
Wrapper for ``dsygv``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n-1,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('d') with bounds (n,n) and a storage
info : intw,v,info = ssygv(a,b,[itype,jobz,uplo,lwork,overwrite_a,overwrite_b])
Wrapper for ``ssygv``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
itype : input int, optional
Default: 1
jobz : input bytes, optional
Default: 'V'
uplo : input bytes, optional
Default: 'L'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n-1,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('f') with bounds (n,n) and a storage
info : intwork,info = zheevx_lwork(n,[lower])
Wrapper for ``zheevx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = cheevx_lwork(n,[lower])
Wrapper for ``cheevx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intw,z,m,ifail,info = zheevx(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,overwrite_a])
Wrapper for ``zheevx``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('D') with bounds (compute_v * n,(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds (compute_v * n)
info : intw,z,m,ifail,info = cheevx(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,overwrite_a])
Wrapper for ``cheevx``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('F') with bounds (compute_v * n,(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds (compute_v * n)
info : intwork,info = dsyevx_lwork(n,[lower])
Wrapper for ``dsyevx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intwork,info = ssyevx_lwork(n,[lower])
Wrapper for ``ssyevx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intw,z,m,ifail,info = dsyevx(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,overwrite_a])
Wrapper for ``dsyevx``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(8*n,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds ((compute_v?MAX(0, n):0),(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds ((compute_v?n:0))
info : intw,z,m,ifail,info = ssyevx(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,overwrite_a])
Wrapper for ``ssyevx``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(8*n,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds ((compute_v?MAX(0, n):0),(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
ifail : rank-1 array('i') with bounds ((compute_v?n:0))
info : intwork,rwork,iwork,info = zheevr_lwork(n,[lower])
Wrapper for ``zheevr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
rwork : float
iwork : int
info : intwork,rwork,iwork,info = cheevr_lwork(n,[lower])
Wrapper for ``cheevr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
rwork : float
iwork : int
info : intw,z,m,isuppz,info = zheevr(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,lrwork,liwork,overwrite_a])
Wrapper for ``zheevr``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(2*n,1)
lrwork : input int, optional
Default: max(24*n,1)
liwork : input int, optional
Default: max(1,10*n)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('D') with bounds ((compute_v?MAX(0, n):0),(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
isuppz : rank-1 array('i') with bounds (2 * max(1, n))
info : intw,z,m,isuppz,info = cheevr(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,lrwork,liwork,overwrite_a])
Wrapper for ``cheevr``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(2*n,1)
lrwork : input int, optional
Default: max(24*n,1)
liwork : input int, optional
Default: max(1,10*n)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('F') with bounds ((compute_v?MAX(0, n):0),(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
isuppz : rank-1 array('i') with bounds (2 * max(1, n))
info : intwork,iwork,info = dsyevr_lwork(n,[lower])
Wrapper for ``dsyevr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
iwork : int
info : intwork,iwork,info = ssyevr_lwork(n,[lower])
Wrapper for ``ssyevr_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
iwork : int
info : intw,z,m,isuppz,info = dsyevr(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,liwork,overwrite_a])
Wrapper for ``dsyevr``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(26*n,1)
liwork : input int, optional
Default: max(1,10*n)
Returns
-------
w : rank-1 array('d') with bounds (n)
z : rank-2 array('d') with bounds ((compute_v?MAX(0, n):0),(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
isuppz : rank-1 array('i') with bounds ((compute_v?2 * ((range=='A')||((range=='I') &&(1 - il + iu == n))?n:0):0))
info : intw,z,m,isuppz,info = ssyevr(a,[compute_v,range,lower,vl,vu,il,iu,abstol,lwork,liwork,overwrite_a])
Wrapper for ``ssyevr``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
range : input bytes, optional
Default: 'A'
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
vl : input float, optional
Default: 0.0
vu : input float, optional
Default: 1.0
il : input int, optional
Default: 1
iu : input int, optional
Default: n
abstol : input float, optional
Default: 0.0
lwork : input int, optional
Default: max(26*n,1)
liwork : input int, optional
Default: max(1,10*n)
Returns
-------
w : rank-1 array('f') with bounds (n)
z : rank-2 array('f') with bounds ((compute_v?MAX(0, n):0),(compute_v?(range == 'I'?1 - il + iu:MAX(1, n)):0))
m : int
isuppz : rank-1 array('i') with bounds ((compute_v?2 * ((range=='A')||((range=='I') &&(1 - il + iu == n))?n:0):0))
info : intwork,info = zhetrd_lwork(n,[lower])
Wrapper for ``zhetrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = chetrd_lwork(n,[lower])
Wrapper for ``chetrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intc,d,e,tau,info = zhetrd(a,[lower,lwork,overwrite_a])
Wrapper for ``zhetrd``.
Parameters
----------
a : input rank-2 array('D') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
c : rank-2 array('D') with bounds (lda,n) and a storage
d : rank-1 array('d') with bounds (n)
e : rank-1 array('d') with bounds (-1 + n)
tau : rank-1 array('D') with bounds (-1 + n)
info : intc,d,e,tau,info = chetrd(a,[lower,lwork,overwrite_a])
Wrapper for ``chetrd``.
Parameters
----------
a : input rank-2 array('F') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
c : rank-2 array('F') with bounds (lda,n) and a storage
d : rank-1 array('f') with bounds (n)
e : rank-1 array('f') with bounds (-1 + n)
tau : rank-1 array('F') with bounds (-1 + n)
info : intwork,info = dsytrd_lwork(n,[lower])
Wrapper for ``dsytrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intwork,info = ssytrd_lwork(n,[lower])
Wrapper for ``ssytrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intc,d,e,tau,info = dsytrd(a,[lower,lwork,overwrite_a])
Wrapper for ``dsytrd``.
Parameters
----------
a : input rank-2 array('d') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
c : rank-2 array('d') with bounds (lda,n) and a storage
d : rank-1 array('d') with bounds (n)
e : rank-1 array('d') with bounds (-1 + n)
tau : rank-1 array('d') with bounds (-1 + n)
info : intc,d,e,tau,info = ssytrd(a,[lower,lwork,overwrite_a])
Wrapper for ``ssytrd``.
Parameters
----------
a : input rank-2 array('f') with bounds (lda,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
c : rank-2 array('f') with bounds (lda,n) and a storage
d : rank-1 array('f') with bounds (n)
e : rank-1 array('f') with bounds (-1 + n)
tau : rank-1 array('f') with bounds (-1 + n)
info : intwork,info = zhesvx_lwork(n,[lower])
Wrapper for ``zhesvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = chesvx_lwork(n,[lower])
Wrapper for ``chesvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intuduh,ipiv,x,rcond,ferr,berr,info = zhesvx(a,b,[af,ipiv,lwork,factored,lower,overwrite_a,overwrite_b])
Wrapper for ``zhesvx``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('D') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n,1)
factored : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
uduh : rank-2 array('D') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('D') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intuduh,ipiv,x,rcond,ferr,berr,info = chesvx(a,b,[af,ipiv,lwork,factored,lower,overwrite_a,overwrite_b])
Wrapper for ``chesvx``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('F') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n,1)
factored : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
uduh : rank-2 array('F') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('F') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intwork,info = zhesv_lwork(n,[lower])
Wrapper for ``zhesv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = chesv_lwork(n,[lower])
Wrapper for ``chesv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intuduh,ipiv,x,info = zhesv(a,b,[lwork,lower,overwrite_a,overwrite_b])
Wrapper for ``zhesv``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
lower : input int, optional
Default: 0
Returns
-------
uduh : rank-2 array('D') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intuduh,ipiv,x,info = chesv(a,b,[lwork,lower,overwrite_a,overwrite_b])
Wrapper for ``chesv``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
lower : input int, optional
Default: 0
Returns
-------
uduh : rank-2 array('F') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intwork,info = zhetrf_lwork(n,[lower])
Wrapper for ``zhetrf_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = chetrf_lwork(n,[lower])
Wrapper for ``chetrf_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intldu,ipiv,info = zhetrf(a,[lower,lwork,overwrite_a])
Wrapper for ``zhetrf``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
Returns
-------
ldu : rank-2 array('D') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = chetrf(a,[lower,lwork,overwrite_a])
Wrapper for ``chetrf``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
Returns
-------
ldu : rank-2 array('F') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intc,info = zhegst(a,b,[itype,lower,overwrite_a])
Wrapper for ``zhegst``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
itype : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('D') with bounds (n,n) and a storage
info : intc,info = chegst(a,b,[itype,lower,overwrite_a])
Wrapper for ``chegst``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
itype : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('F') with bounds (n,n) and a storage
info : inta,e,info = zsyconv(a,ipiv,[lower,way,overwrite_a])
Wrapper for ``zsyconv``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
lower : input int, optional
Default: 0
way : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('D') with bounds (n,n)
e : rank-1 array('D') with bounds (n)
info : inta,e,info = csyconv(a,ipiv,[lower,way,overwrite_a])
Wrapper for ``csyconv``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
lower : input int, optional
Default: 0
way : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('F') with bounds (n,n)
e : rank-1 array('F') with bounds (n)
info : inta,e,info = dsyconv(a,ipiv,[lower,way,overwrite_a])
Wrapper for ``dsyconv``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
lower : input int, optional
Default: 0
way : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('d') with bounds (n,n)
e : rank-1 array('d') with bounds (n)
info : inta,e,info = ssyconv(a,ipiv,[lower,way,overwrite_a])
Wrapper for ``ssyconv``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
lower : input int, optional
Default: 0
way : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
a : rank-2 array('f') with bounds (n,n)
e : rank-1 array('f') with bounds (n)
info : intrcond,info = zhecon(a,ipiv,anorm,[lower])
Wrapper for ``zhecon``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = checon(a,ipiv,anorm,[lower])
Wrapper for ``checon``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = zsycon(a,ipiv,anorm,[lower])
Wrapper for ``zsycon``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = csycon(a,ipiv,anorm,[lower])
Wrapper for ``csycon``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = dsycon(a,ipiv,anorm,[lower])
Wrapper for ``dsycon``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intrcond,info = ssycon(a,ipiv,anorm,[lower])
Wrapper for ``ssycon``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
anorm : input float
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
rcond : float
info : intwork,info = zsysvx_lwork(n,[lower])
Wrapper for ``zsysvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = csysvx_lwork(n,[lower])
Wrapper for ``csysvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = dsysvx_lwork(n,[lower])
Wrapper for ``dsysvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intwork,info = ssysvx_lwork(n,[lower])
Wrapper for ``ssysvx_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : inta_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = zsysvx(a,b,[af,ipiv,lwork,factored,lower,overwrite_a,overwrite_b])
Wrapper for ``zsysvx``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('D') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
factored : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('D') with bounds (n,n) and a storage
udut : rank-2 array('D') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
b_s : rank-2 array('D') with bounds (n,nrhs) and b storage
x : rank-2 array('D') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : inta_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = csysvx(a,b,[af,ipiv,lwork,factored,lower,overwrite_a,overwrite_b])
Wrapper for ``csysvx``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('F') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
factored : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('F') with bounds (n,n) and a storage
udut : rank-2 array('F') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
b_s : rank-2 array('F') with bounds (n,nrhs) and b storage
x : rank-2 array('F') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : inta_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = dsysvx(a,b,[af,ipiv,lwork,factored,lower,overwrite_a,overwrite_b])
Wrapper for ``dsysvx``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('d') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
factored : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('d') with bounds (n,n) and a storage
udut : rank-2 array('d') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
b_s : rank-2 array('d') with bounds (n,nrhs) and b storage
x : rank-2 array('d') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : inta_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = ssysvx(a,b,[af,ipiv,lwork,factored,lower,overwrite_a,overwrite_b])
Wrapper for ``ssysvx``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('f') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
factored : input int, optional
Default: 0
lower : input int, optional
Default: 0
Returns
-------
a_s : rank-2 array('f') with bounds (n,n) and a storage
udut : rank-2 array('f') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
b_s : rank-2 array('f') with bounds (n,nrhs) and b storage
x : rank-2 array('f') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intwork,info = zsysv_lwork(n,[lower])
Wrapper for ``zsysv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = csysv_lwork(n,[lower])
Wrapper for ``csysv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = dsysv_lwork(n,[lower])
Wrapper for ``dsysv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intwork,info = ssysv_lwork(n,[lower])
Wrapper for ``ssysv_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intudut,ipiv,x,info = zsysv(a,b,[lwork,lower,overwrite_a,overwrite_b])
Wrapper for ``zsysv``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
lower : input int, optional
Default: 0
Returns
-------
udut : rank-2 array('D') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intudut,ipiv,x,info = csysv(a,b,[lwork,lower,overwrite_a,overwrite_b])
Wrapper for ``csysv``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
lower : input int, optional
Default: 0
Returns
-------
udut : rank-2 array('F') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intudut,ipiv,x,info = dsysv(a,b,[lwork,lower,overwrite_a,overwrite_b])
Wrapper for ``dsysv``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
lower : input int, optional
Default: 0
Returns
-------
udut : rank-2 array('d') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intudut,ipiv,x,info = ssysv(a,b,[lwork,lower,overwrite_a,overwrite_b])
Wrapper for ``ssysv``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
lower : input int, optional
Default: 0
Returns
-------
udut : rank-2 array('f') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intwork,info = zsytrf_lwork(n,[lower])
Wrapper for ``zsytrf_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = csytrf_lwork(n,[lower])
Wrapper for ``csytrf_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = dsytrf_lwork(n,[lower])
Wrapper for ``dsytrf_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intwork,info = ssytrf_lwork(n,[lower])
Wrapper for ``ssytrf_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intldu,ipiv,info = zsytrf(a,[lower,lwork,overwrite_a])
Wrapper for ``zsytrf``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
Returns
-------
ldu : rank-2 array('D') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = csytrf(a,[lower,lwork,overwrite_a])
Wrapper for ``csytrf``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
Returns
-------
ldu : rank-2 array('F') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = dsytrf(a,[lower,lwork,overwrite_a])
Wrapper for ``dsytrf``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
Returns
-------
ldu : rank-2 array('d') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = ssytrf(a,[lower,lwork,overwrite_a])
Wrapper for ``ssytrf``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(n,1)
Returns
-------
ldu : rank-2 array('f') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intc,info = dsygst(a,b,[itype,lower,overwrite_a])
Wrapper for ``dsygst``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
itype : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('d') with bounds (n,n) and a storage
info : intc,info = ssygst(a,b,[itype,lower,overwrite_a])
Wrapper for ``ssygst``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
itype : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
c : rank-2 array('f') with bounds (n,n) and a storage
info : intldu,ipiv,info = zsytf2(a,[lower,overwrite_a])
Wrapper for ``zsytf2``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ldu : rank-2 array('D') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = csytf2(a,[lower,overwrite_a])
Wrapper for ``csytf2``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ldu : rank-2 array('F') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = dsytf2(a,[lower,overwrite_a])
Wrapper for ``dsytf2``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ldu : rank-2 array('d') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intldu,ipiv,info = ssytf2(a,[lower,overwrite_a])
Wrapper for ``ssytf2``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ldu : rank-2 array('f') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
info : intwork,iwork,rwork,info = zheevd_lwork(n,[compute_v,lower])
Wrapper for ``zheevd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
work : complex
iwork : int
rwork : float
info : intwork,iwork,rwork,info = cheevd_lwork(n,[compute_v,lower])
Wrapper for ``cheevd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
work : complex
iwork : int
rwork : float
info : intw,v,info = zheevd(a,[compute_v,lower,lwork,liwork,lrwork,overwrite_a])
Wrapper for ``zheevd``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max((compute_v?2*n+n*n:n+1),1)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
lrwork : input int, optional
Default: (compute_v?1+5*n+2*n*n:n)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('D') with bounds (n,n) and a storage
info : intw,v,info = cheevd(a,[compute_v,lower,lwork,liwork,lrwork,overwrite_a])
Wrapper for ``cheevd``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max((compute_v?2*n+n*n:n+1),1)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
lrwork : input int, optional
Default: (compute_v?1+5*n+2*n*n:n)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('F') with bounds (n,n) and a storage
info : intwork,iwork,info = dsyevd_lwork(n,[compute_v,lower])
Wrapper for ``dsyevd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
work : float
iwork : int
info : intwork,iwork,info = ssyevd_lwork(n,[compute_v,lower])
Wrapper for ``ssyevd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
Returns
-------
work : float
iwork : int
info : intw,v,info = dsyevd(a,[compute_v,lower,lwork,liwork,overwrite_a])
Wrapper for ``dsyevd``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max((compute_v?1+6*n+2*n*n:2*n+1),1)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('d') with bounds (n,n) and a storage
info : intw,v,info = ssyevd(a,[compute_v,lower,lwork,liwork,overwrite_a])
Wrapper for ``ssyevd``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max((compute_v?1+6*n+2*n*n:2*n+1),1)
liwork : input int, optional
Default: (compute_v?3+5*n:1)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('f') with bounds (n,n) and a storage
info : intwork,info = zheev_lwork(n,[lower])
Wrapper for ``zheev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intwork,info = cheev_lwork(n,[lower])
Wrapper for ``cheev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : complex
info : intw,v,info = zheev(a,[compute_v,lower,lwork,overwrite_a])
Wrapper for ``zheev``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n-1,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('D') with bounds (n,n) and a storage
info : intw,v,info = cheev(a,[compute_v,lower,lwork,overwrite_a])
Wrapper for ``cheev``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n-1,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('F') with bounds (n,n) and a storage
info : intwork,info = dsyev_lwork(n,[lower])
Wrapper for ``dsyev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intwork,info = ssyev_lwork(n,[lower])
Wrapper for ``ssyev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lower : input int, optional
Default: 0
Returns
-------
work : float
info : intw,v,info = dsyev(a,[compute_v,lower,lwork,overwrite_a])
Wrapper for ``dsyev``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n-1,1)
Returns
-------
w : rank-1 array('d') with bounds (n)
v : rank-2 array('d') with bounds (n,n) and a storage
info : intw,v,info = ssyev(a,[compute_v,lower,lwork,overwrite_a])
Wrapper for ``ssyev``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
lower : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n-1,1)
Returns
-------
w : rank-1 array('f') with bounds (n)
v : rank-2 array('f') with bounds (n,n) and a storage
info : intdlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = zgtsvx(dl,d,du,b,[fact,trans,dlf,df,duf,du2,ipiv])
Wrapper for ``zgtsvx``.
Parameters
----------
dl : input rank-1 array('D') with bounds (MAX(0, -1 + n))
d : input rank-1 array('D') with bounds (n)
du : input rank-1 array('D') with bounds (MAX(0, -1 + n))
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
trans : input bytes, optional
Default: 'N'
dlf : input rank-1 array('D') with bounds (MAX(0, -1 + n))
df : input rank-1 array('D') with bounds (n)
duf : input rank-1 array('D') with bounds (MAX(0, -1 + n))
du2 : input rank-1 array('D') with bounds (MAX(0, -2 + n))
ipiv : input rank-1 array('i') with bounds (n)
Returns
-------
dlf : rank-1 array('D') with bounds (MAX(0, -1 + n))
df : rank-1 array('D') with bounds (n)
duf : rank-1 array('D') with bounds (MAX(0, -1 + n))
du2 : rank-1 array('D') with bounds (MAX(0, -2 + n))
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('D') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intdlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = cgtsvx(dl,d,du,b,[fact,trans,dlf,df,duf,du2,ipiv])
Wrapper for ``cgtsvx``.
Parameters
----------
dl : input rank-1 array('F') with bounds (MAX(0, -1 + n))
d : input rank-1 array('F') with bounds (n)
du : input rank-1 array('F') with bounds (MAX(0, -1 + n))
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
trans : input bytes, optional
Default: 'N'
dlf : input rank-1 array('F') with bounds (MAX(0, -1 + n))
df : input rank-1 array('F') with bounds (n)
duf : input rank-1 array('F') with bounds (MAX(0, -1 + n))
du2 : input rank-1 array('F') with bounds (MAX(0, -2 + n))
ipiv : input rank-1 array('i') with bounds (n)
Returns
-------
dlf : rank-1 array('F') with bounds (MAX(0, -1 + n))
df : rank-1 array('F') with bounds (n)
duf : rank-1 array('F') with bounds (MAX(0, -1 + n))
du2 : rank-1 array('F') with bounds (MAX(0, -2 + n))
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('F') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intdlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = dgtsvx(dl,d,du,b,[fact,trans,dlf,df,duf,du2,ipiv])
Wrapper for ``dgtsvx``.
Parameters
----------
dl : input rank-1 array('d') with bounds (MAX(0, -1 + n))
d : input rank-1 array('d') with bounds (n)
du : input rank-1 array('d') with bounds (MAX(0, -1 + n))
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
trans : input bytes, optional
Default: 'N'
dlf : input rank-1 array('d') with bounds (MAX(0, -1 + n))
df : input rank-1 array('d') with bounds (n)
duf : input rank-1 array('d') with bounds (MAX(0, -1 + n))
du2 : input rank-1 array('d') with bounds (MAX(0, -2 + n))
ipiv : input rank-1 array('i') with bounds (n)
Returns
-------
dlf : rank-1 array('d') with bounds (MAX(0, -1 + n))
df : rank-1 array('d') with bounds (n)
duf : rank-1 array('d') with bounds (MAX(0, -1 + n))
du2 : rank-1 array('d') with bounds (MAX(0, -2 + n))
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('d') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intdlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = sgtsvx(dl,d,du,b,[fact,trans,dlf,df,duf,du2,ipiv])
Wrapper for ``sgtsvx``.
Parameters
----------
dl : input rank-1 array('f') with bounds (MAX(0, -1 + n))
d : input rank-1 array('f') with bounds (n)
du : input rank-1 array('f') with bounds (MAX(0, -1 + n))
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'N'
trans : input bytes, optional
Default: 'N'
dlf : input rank-1 array('f') with bounds (MAX(0, -1 + n))
df : input rank-1 array('f') with bounds (n)
duf : input rank-1 array('f') with bounds (MAX(0, -1 + n))
du2 : input rank-1 array('f') with bounds (MAX(0, -2 + n))
ipiv : input rank-1 array('i') with bounds (n)
Returns
-------
dlf : rank-1 array('f') with bounds (MAX(0, -1 + n))
df : rank-1 array('f') with bounds (n)
duf : rank-1 array('f') with bounds (MAX(0, -1 + n))
du2 : rank-1 array('f') with bounds (MAX(0, -2 + n))
ipiv : rank-1 array('i') with bounds (n)
x : rank-2 array('f') with bounds (ldx,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intx,info = zgttrs(dl,d,du,du2,ipiv,b,[trans,overwrite_b])
Wrapper for ``zgttrs``.
Parameters
----------
dl : input rank-1 array('D') with bounds (-1 + n)
d : input rank-1 array('D') with bounds (n)
du : input rank-1 array('D') with bounds (-1 + n)
du2 : input rank-1 array('D') with bounds (-2 + n)
ipiv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('D') with bounds (ldb,nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = cgttrs(dl,d,du,du2,ipiv,b,[trans,overwrite_b])
Wrapper for ``cgttrs``.
Parameters
----------
dl : input rank-1 array('F') with bounds (-1 + n)
d : input rank-1 array('F') with bounds (n)
du : input rank-1 array('F') with bounds (-1 + n)
du2 : input rank-1 array('F') with bounds (-2 + n)
ipiv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('F') with bounds (ldb,nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dgttrs(dl,d,du,du2,ipiv,b,[trans,overwrite_b])
Wrapper for ``dgttrs``.
Parameters
----------
dl : input rank-1 array('d') with bounds (-1 + n)
d : input rank-1 array('d') with bounds (n)
du : input rank-1 array('d') with bounds (-1 + n)
du2 : input rank-1 array('d') with bounds (-2 + n)
ipiv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('d') with bounds (ldb,nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = sgttrs(dl,d,du,du2,ipiv,b,[trans,overwrite_b])
Wrapper for ``sgttrs``.
Parameters
----------
dl : input rank-1 array('f') with bounds (-1 + n)
d : input rank-1 array('f') with bounds (n)
du : input rank-1 array('f') with bounds (-1 + n)
du2 : input rank-1 array('f') with bounds (-2 + n)
ipiv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('f') with bounds (ldb,nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_b : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intdl,d,du,du2,ipiv,info = zgttrf(dl,d,du,[overwrite_dl,overwrite_d,overwrite_du])
Wrapper for ``zgttrf``.
Parameters
----------
dl : input rank-1 array('D') with bounds (-1 + n)
d : input rank-1 array('D') with bounds (n)
du : input rank-1 array('D') with bounds (-1 + n)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
Returns
-------
dl : rank-1 array('D') with bounds (-1 + n)
d : rank-1 array('D') with bounds (n)
du : rank-1 array('D') with bounds (-1 + n)
du2 : rank-1 array('D') with bounds (-2 + n)
ipiv : rank-1 array('i') with bounds (n)
info : intdl,d,du,du2,ipiv,info = cgttrf(dl,d,du,[overwrite_dl,overwrite_d,overwrite_du])
Wrapper for ``cgttrf``.
Parameters
----------
dl : input rank-1 array('F') with bounds (-1 + n)
d : input rank-1 array('F') with bounds (n)
du : input rank-1 array('F') with bounds (-1 + n)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
Returns
-------
dl : rank-1 array('F') with bounds (-1 + n)
d : rank-1 array('F') with bounds (n)
du : rank-1 array('F') with bounds (-1 + n)
du2 : rank-1 array('F') with bounds (-2 + n)
ipiv : rank-1 array('i') with bounds (n)
info : intdl,d,du,du2,ipiv,info = dgttrf(dl,d,du,[overwrite_dl,overwrite_d,overwrite_du])
Wrapper for ``dgttrf``.
Parameters
----------
dl : input rank-1 array('d') with bounds (-1 + n)
d : input rank-1 array('d') with bounds (n)
du : input rank-1 array('d') with bounds (-1 + n)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
Returns
-------
dl : rank-1 array('d') with bounds (-1 + n)
d : rank-1 array('d') with bounds (n)
du : rank-1 array('d') with bounds (-1 + n)
du2 : rank-1 array('d') with bounds (-2 + n)
ipiv : rank-1 array('i') with bounds (n)
info : intdl,d,du,du2,ipiv,info = sgttrf(dl,d,du,[overwrite_dl,overwrite_d,overwrite_du])
Wrapper for ``sgttrf``.
Parameters
----------
dl : input rank-1 array('f') with bounds (-1 + n)
d : input rank-1 array('f') with bounds (n)
du : input rank-1 array('f') with bounds (-1 + n)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
Returns
-------
dl : rank-1 array('f') with bounds (-1 + n)
d : rank-1 array('f') with bounds (n)
du : rank-1 array('f') with bounds (-1 + n)
du2 : rank-1 array('f') with bounds (-2 + n)
ipiv : rank-1 array('i') with bounds (n)
info : intdu2,d,du,x,info = zgtsv(dl,d,du,b,[overwrite_dl,overwrite_d,overwrite_du,overwrite_b])
Wrapper for ``zgtsv``.
Parameters
----------
dl : input rank-1 array('D') with bounds (-1 + n)
d : input rank-1 array('D') with bounds (n)
du : input rank-1 array('D') with bounds (-1 + n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
du2 : rank-1 array('D') with bounds (-1 + n) and dl storage
d : rank-1 array('D') with bounds (n)
du : rank-1 array('D') with bounds (-1 + n)
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intdu2,d,du,x,info = cgtsv(dl,d,du,b,[overwrite_dl,overwrite_d,overwrite_du,overwrite_b])
Wrapper for ``cgtsv``.
Parameters
----------
dl : input rank-1 array('F') with bounds (-1 + n)
d : input rank-1 array('F') with bounds (n)
du : input rank-1 array('F') with bounds (-1 + n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
du2 : rank-1 array('F') with bounds (-1 + n) and dl storage
d : rank-1 array('F') with bounds (n)
du : rank-1 array('F') with bounds (-1 + n)
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intdu2,d,du,x,info = dgtsv(dl,d,du,b,[overwrite_dl,overwrite_d,overwrite_du,overwrite_b])
Wrapper for ``dgtsv``.
Parameters
----------
dl : input rank-1 array('d') with bounds (-1 + n)
d : input rank-1 array('d') with bounds (n)
du : input rank-1 array('d') with bounds (-1 + n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
du2 : rank-1 array('d') with bounds (-1 + n) and dl storage
d : rank-1 array('d') with bounds (n)
du : rank-1 array('d') with bounds (-1 + n)
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intdu2,d,du,x,info = sgtsv(dl,d,du,b,[overwrite_dl,overwrite_d,overwrite_du,overwrite_b])
Wrapper for ``sgtsv``.
Parameters
----------
dl : input rank-1 array('f') with bounds (-1 + n)
d : input rank-1 array('f') with bounds (n)
du : input rank-1 array('f') with bounds (-1 + n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_dl : input int, optional
Default: 0
overwrite_d : input int, optional
Default: 0
overwrite_du : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
du2 : rank-1 array('f') with bounds (-1 + n) and dl storage
d : rank-1 array('f') with bounds (n)
du : rank-1 array('f') with bounds (-1 + n)
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intx,info = zgbtrs(ab,kl,ku,b,ipiv,[trans,n,ldab,ldb,overwrite_b])
Wrapper for ``zgbtrs``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
kl : input int
ku : input int
b : input rank-2 array('D') with bounds (ldb,nrhs)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
n : input int, optional
Default: shape(ab,1)
ldab : input int, optional
Default: shape(ab,0)
ldb : input int, optional
Default: shape(b,0)
Returns
-------
x : rank-2 array('D') with bounds (ldb,nrhs) and b storage
info : intx,info = cgbtrs(ab,kl,ku,b,ipiv,[trans,n,ldab,ldb,overwrite_b])
Wrapper for ``cgbtrs``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
kl : input int
ku : input int
b : input rank-2 array('F') with bounds (ldb,nrhs)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
n : input int, optional
Default: shape(ab,1)
ldab : input int, optional
Default: shape(ab,0)
ldb : input int, optional
Default: shape(b,0)
Returns
-------
x : rank-2 array('F') with bounds (ldb,nrhs) and b storage
info : intx,info = dgbtrs(ab,kl,ku,b,ipiv,[trans,n,ldab,ldb,overwrite_b])
Wrapper for ``dgbtrs``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
kl : input int
ku : input int
b : input rank-2 array('d') with bounds (ldb,nrhs)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
n : input int, optional
Default: shape(ab,1)
ldab : input int, optional
Default: shape(ab,0)
ldb : input int, optional
Default: shape(b,0)
Returns
-------
x : rank-2 array('d') with bounds (ldb,nrhs) and b storage
info : intx,info = sgbtrs(ab,kl,ku,b,ipiv,[trans,n,ldab,ldb,overwrite_b])
Wrapper for ``sgbtrs``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
kl : input int
ku : input int
b : input rank-2 array('f') with bounds (ldb,nrhs)
ipiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
n : input int, optional
Default: shape(ab,1)
ldab : input int, optional
Default: shape(ab,0)
ldb : input int, optional
Default: shape(b,0)
Returns
-------
x : rank-2 array('f') with bounds (ldb,nrhs) and b storage
info : intlu,ipiv,info = zgbtrf(ab,kl,ku,[m,n,ldab,overwrite_ab])
Wrapper for ``zgbtrf``.
Parameters
----------
ab : input rank-2 array('D') with bounds (ldab,n)
kl : input int
ku : input int
Other Parameters
----------------
m : input int, optional
Default: shape(ab,1)
n : input int, optional
Default: shape(ab,1)
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: max(shape(ab,0),1)
Returns
-------
lu : rank-2 array('D') with bounds (ldab,n) and ab storage
ipiv : rank-1 array('i') with bounds (MIN(m, n))
info : intlu,ipiv,info = cgbtrf(ab,kl,ku,[m,n,ldab,overwrite_ab])
Wrapper for ``cgbtrf``.
Parameters
----------
ab : input rank-2 array('F') with bounds (ldab,n)
kl : input int
ku : input int
Other Parameters
----------------
m : input int, optional
Default: shape(ab,1)
n : input int, optional
Default: shape(ab,1)
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: max(shape(ab,0),1)
Returns
-------
lu : rank-2 array('F') with bounds (ldab,n) and ab storage
ipiv : rank-1 array('i') with bounds (MIN(m, n))
info : intlu,ipiv,info = dgbtrf(ab,kl,ku,[m,n,ldab,overwrite_ab])
Wrapper for ``dgbtrf``.
Parameters
----------
ab : input rank-2 array('d') with bounds (ldab,n)
kl : input int
ku : input int
Other Parameters
----------------
m : input int, optional
Default: shape(ab,1)
n : input int, optional
Default: shape(ab,1)
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: max(shape(ab,0),1)
Returns
-------
lu : rank-2 array('d') with bounds (ldab,n) and ab storage
ipiv : rank-1 array('i') with bounds (MIN(m, n))
info : intlu,ipiv,info = sgbtrf(ab,kl,ku,[m,n,ldab,overwrite_ab])
Wrapper for ``sgbtrf``.
Parameters
----------
ab : input rank-2 array('f') with bounds (ldab,n)
kl : input int
ku : input int
Other Parameters
----------------
m : input int, optional
Default: shape(ab,1)
n : input int, optional
Default: shape(ab,1)
overwrite_ab : input int, optional
Default: 0
ldab : input int, optional
Default: max(shape(ab,0),1)
Returns
-------
lu : rank-2 array('f') with bounds (ldab,n) and ab storage
ipiv : rank-1 array('i') with bounds (MIN(m, n))
info : intlub,piv,x,info = zgbsv(kl,ku,ab,b,[overwrite_ab,overwrite_b])
Wrapper for ``zgbsv``.
Parameters
----------
kl : input int
ku : input int
ab : input rank-2 array('D') with bounds (1 + 2 * kl + ku,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lub : rank-2 array('D') with bounds (1 + 2 * kl + ku,n) and ab storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intlub,piv,x,info = cgbsv(kl,ku,ab,b,[overwrite_ab,overwrite_b])
Wrapper for ``cgbsv``.
Parameters
----------
kl : input int
ku : input int
ab : input rank-2 array('F') with bounds (1 + 2 * kl + ku,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lub : rank-2 array('F') with bounds (1 + 2 * kl + ku,n) and ab storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intlub,piv,x,info = dgbsv(kl,ku,ab,b,[overwrite_ab,overwrite_b])
Wrapper for ``dgbsv``.
Parameters
----------
kl : input int
ku : input int
ab : input rank-2 array('d') with bounds (1 + 2 * kl + ku,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lub : rank-2 array('d') with bounds (1 + 2 * kl + ku,n) and ab storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intlub,piv,x,info = sgbsv(kl,ku,ab,b,[overwrite_ab,overwrite_b])
Wrapper for ``sgbsv``.
Parameters
----------
kl : input int
ku : input int
ab : input rank-2 array('f') with bounds (1 + 2 * kl + ku,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_ab : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lub : rank-2 array('f') with bounds (1 + 2 * kl + ku,n) and ab storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intr,c,rowcnd,colcnd,amax,info = zgeequb(a)
Wrapper for ``zgeequb``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Returns
-------
r : rank-1 array('d') with bounds (m)
c : rank-1 array('d') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = cgeequb(a)
Wrapper for ``cgeequb``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Returns
-------
r : rank-1 array('f') with bounds (m)
c : rank-1 array('f') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = dgeequb(a)
Wrapper for ``dgeequb``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Returns
-------
r : rank-1 array('d') with bounds (m)
c : rank-1 array('d') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = sgeequb(a)
Wrapper for ``sgeequb``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Returns
-------
r : rank-1 array('f') with bounds (m)
c : rank-1 array('f') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = zgeequ(a)
Wrapper for ``zgeequ``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Returns
-------
r : rank-1 array('d') with bounds (m)
c : rank-1 array('d') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = cgeequ(a)
Wrapper for ``cgeequ``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Returns
-------
r : rank-1 array('f') with bounds (m)
c : rank-1 array('f') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = dgeequ(a)
Wrapper for ``dgeequ``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Returns
-------
r : rank-1 array('d') with bounds (m)
c : rank-1 array('d') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intr,c,rowcnd,colcnd,amax,info = sgeequ(a)
Wrapper for ``sgeequ``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Returns
-------
r : rank-1 array('f') with bounds (m)
c : rank-1 array('f') with bounds (n)
rowcnd : float
colcnd : float
amax : float
info : intalpha,beta,vl,vr,work,info = zggev(a,b,[compute_vl,compute_vr,lwork,overwrite_a,overwrite_b])
Wrapper for ``zggev``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
alpha : rank-1 array('D') with bounds (n)
beta : rank-1 array('D') with bounds (n)
vl : rank-2 array('D') with bounds (ldvl,n)
vr : rank-2 array('D') with bounds (ldvr,n)
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intalpha,beta,vl,vr,work,info = cggev(a,b,[compute_vl,compute_vr,lwork,overwrite_a,overwrite_b])
Wrapper for ``cggev``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
alpha : rank-1 array('F') with bounds (n)
beta : rank-1 array('F') with bounds (n)
vl : rank-2 array('F') with bounds (ldvl,n)
vr : rank-2 array('F') with bounds (ldvr,n)
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intalphar,alphai,beta,vl,vr,work,info = dggev(a,b,[compute_vl,compute_vr,lwork,overwrite_a,overwrite_b])
Wrapper for ``dggev``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(8*n,1)
Returns
-------
alphar : rank-1 array('d') with bounds (n)
alphai : rank-1 array('d') with bounds (n)
beta : rank-1 array('d') with bounds (n)
vl : rank-2 array('d') with bounds (ldvl,n)
vr : rank-2 array('d') with bounds (ldvr,n)
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intalphar,alphai,beta,vl,vr,work,info = sggev(a,b,[compute_vl,compute_vr,lwork,overwrite_a,overwrite_b])
Wrapper for ``sggev``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: max(8*n,1)
Returns
-------
alphar : rank-1 array('f') with bounds (n)
alphai : rank-1 array('f') with bounds (n)
beta : rank-1 array('f') with bounds (n)
vl : rank-2 array('f') with bounds (ldvl,n)
vr : rank-2 array('f') with bounds (ldvr,n)
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : inta,b,sdim,alpha,beta,vsl,vsr,work,info = zgges(zselect,a,b,[jobvsl,jobvsr,sort_t,ldvsl,ldvsr,lwork,zselect_extra_args,overwrite_a,overwrite_b])
Wrapper for ``zgges``.
Parameters
----------
zselect : call-back function
a : input rank-2 array('D') with bounds (lda,n)
b : input rank-2 array('D') with bounds (ldb,n)
Other Parameters
----------------
jobvsl : input int, optional
Default: 1
jobvsr : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
zselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
ldvsl : input int, optional
Default: ((jobvsl==1)?n:1)
ldvsr : input int, optional
Default: ((jobvsr==1)?n:1)
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
a : rank-2 array('D') with bounds (lda,n)
b : rank-2 array('D') with bounds (ldb,n)
sdim : int
alpha : rank-1 array('D') with bounds (n)
beta : rank-1 array('D') with bounds (n)
vsl : rank-2 array('D') with bounds (ldvsl,n)
vsr : rank-2 array('D') with bounds (ldvsr,n)
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def zselect(alpha,beta): return zselect
Required arguments:
alpha : input complex
beta : input complex
Return objects:
zselect : inta,b,sdim,alpha,beta,vsl,vsr,work,info = cgges(cselect,a,b,[jobvsl,jobvsr,sort_t,ldvsl,ldvsr,lwork,cselect_extra_args,overwrite_a,overwrite_b])
Wrapper for ``cgges``.
Parameters
----------
cselect : call-back function
a : input rank-2 array('F') with bounds (lda,n)
b : input rank-2 array('F') with bounds (ldb,n)
Other Parameters
----------------
jobvsl : input int, optional
Default: 1
jobvsr : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
cselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
ldvsl : input int, optional
Default: ((jobvsl==1)?n:1)
ldvsr : input int, optional
Default: ((jobvsr==1)?n:1)
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
a : rank-2 array('F') with bounds (lda,n)
b : rank-2 array('F') with bounds (ldb,n)
sdim : int
alpha : rank-1 array('F') with bounds (n)
beta : rank-1 array('F') with bounds (n)
vsl : rank-2 array('F') with bounds (ldvsl,n)
vsr : rank-2 array('F') with bounds (ldvsr,n)
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def cselect(alpha,beta): return cselect
Required arguments:
alpha : input complex
beta : input complex
Return objects:
cselect : inta,b,sdim,alphar,alphai,beta,vsl,vsr,work,info = dgges(dselect,a,b,[jobvsl,jobvsr,sort_t,ldvsl,ldvsr,lwork,dselect_extra_args,overwrite_a,overwrite_b])
Wrapper for ``dgges``.
Parameters
----------
dselect : call-back function
a : input rank-2 array('d') with bounds (lda,n)
b : input rank-2 array('d') with bounds (ldb,n)
Other Parameters
----------------
jobvsl : input int, optional
Default: 1
jobvsr : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
dselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
ldvsl : input int, optional
Default: ((jobvsl==1)?n:1)
ldvsr : input int, optional
Default: ((jobvsr==1)?n:1)
lwork : input int, optional
Default: max(8*n+16,1)
Returns
-------
a : rank-2 array('d') with bounds (lda,n)
b : rank-2 array('d') with bounds (ldb,n)
sdim : int
alphar : rank-1 array('d') with bounds (n)
alphai : rank-1 array('d') with bounds (n)
beta : rank-1 array('d') with bounds (n)
vsl : rank-2 array('d') with bounds (ldvsl,n)
vsr : rank-2 array('d') with bounds (ldvsr,n)
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def dselect(alphar,alphai,beta): return dselect
Required arguments:
alphar : input float
alphai : input float
beta : input float
Return objects:
dselect : inta,b,sdim,alphar,alphai,beta,vsl,vsr,work,info = sgges(sselect,a,b,[jobvsl,jobvsr,sort_t,ldvsl,ldvsr,lwork,sselect_extra_args,overwrite_a,overwrite_b])
Wrapper for ``sgges``.
Parameters
----------
sselect : call-back function
a : input rank-2 array('f') with bounds (lda,n)
b : input rank-2 array('f') with bounds (ldb,n)
Other Parameters
----------------
jobvsl : input int, optional
Default: 1
jobvsr : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
sselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
ldvsl : input int, optional
Default: ((jobvsl==1)?n:1)
ldvsr : input int, optional
Default: ((jobvsr==1)?n:1)
lwork : input int, optional
Default: max(8*n+16,1)
Returns
-------
a : rank-2 array('f') with bounds (lda,n)
b : rank-2 array('f') with bounds (ldb,n)
sdim : int
alphar : rank-1 array('f') with bounds (n)
alphai : rank-1 array('f') with bounds (n)
beta : rank-1 array('f') with bounds (n)
vsl : rank-2 array('f') with bounds (ldvsl,n)
vsr : rank-2 array('f') with bounds (ldvsr,n)
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def sselect(alphar,alphai,beta): return sselect
Required arguments:
alphar : input float
alphai : input float
beta : input float
Return objects:
sselect : intt,sdim,wr,wi,vs,work,info = dgees(dselect,a,[compute_v,sort_t,lwork,dselect_extra_args,overwrite_a])
Wrapper for ``dgees``.
Parameters
----------
dselect : call-back function
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
dselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
t : rank-2 array('d') with bounds (n,n) and a storage
sdim : int
wr : rank-1 array('d') with bounds (n)
wi : rank-1 array('d') with bounds (n)
vs : rank-2 array('d') with bounds (ldvs,n)
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def dselect(arg1,arg2): return dselect
Required arguments:
arg1 : input float
arg2 : input float
Return objects:
dselect : intt,sdim,wr,wi,vs,work,info = sgees(sselect,a,[compute_v,sort_t,lwork,sselect_extra_args,overwrite_a])
Wrapper for ``sgees``.
Parameters
----------
sselect : call-back function
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
sselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
t : rank-2 array('f') with bounds (n,n) and a storage
sdim : int
wr : rank-1 array('f') with bounds (n)
wi : rank-1 array('f') with bounds (n)
vs : rank-2 array('f') with bounds (ldvs,n)
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def sselect(arg1,arg2): return sselect
Required arguments:
arg1 : input float
arg2 : input float
Return objects:
sselect : intt,sdim,w,vs,work,info = zgees(zselect,a,[compute_v,sort_t,lwork,zselect_extra_args,overwrite_a])
Wrapper for ``zgees``.
Parameters
----------
zselect : call-back function
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
zselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
t : rank-2 array('D') with bounds (n,n) and a storage
sdim : int
w : rank-1 array('D') with bounds (n)
vs : rank-2 array('D') with bounds (ldvs,n)
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def zselect(arg): return zselect
Required arguments:
arg : input complex
Return objects:
zselect : intt,sdim,w,vs,work,info = cgees(cselect,a,[compute_v,sort_t,lwork,cselect_extra_args,overwrite_a])
Wrapper for ``cgees``.
Parameters
----------
cselect : call-back function
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_v : input int, optional
Default: 1
sort_t : input int, optional
Default: 0
cselect_extra_args : input tuple, optional
Default: ()
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
t : rank-2 array('F') with bounds (n,n) and a storage
sdim : int
w : rank-1 array('F') with bounds (n)
vs : rank-2 array('F') with bounds (ldvs,n)
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : int
Notes
-----
Call-back functions::
def cselect(arg): return cselect
Required arguments:
arg : input complex
Return objects:
cselect : intwork,info = zgeev_lwork(n,[compute_vl,compute_vr])
Wrapper for ``zgeev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
Returns
-------
work : complex
info : intwork,info = cgeev_lwork(n,[compute_vl,compute_vr])
Wrapper for ``cgeev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
Returns
-------
work : complex
info : intw,vl,vr,info = zgeev(a,[compute_vl,compute_vr,lwork,overwrite_a])
Wrapper for ``zgeev``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
w : rank-1 array('D') with bounds (n)
vl : rank-2 array('D') with bounds (ldvl,n)
vr : rank-2 array('D') with bounds (ldvr,n)
info : intw,vl,vr,info = cgeev(a,[compute_vl,compute_vr,lwork,overwrite_a])
Wrapper for ``cgeev``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(2*n,1)
Returns
-------
w : rank-1 array('F') with bounds (n)
vl : rank-2 array('F') with bounds (ldvl,n)
vr : rank-2 array('F') with bounds (ldvr,n)
info : intwork,info = dgeev_lwork(n,[compute_vl,compute_vr])
Wrapper for ``dgeev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
Returns
-------
work : float
info : intwork,info = sgeev_lwork(n,[compute_vl,compute_vr])
Wrapper for ``sgeev_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
Returns
-------
work : float
info : intwr,wi,vl,vr,info = dgeev(a,[compute_vl,compute_vr,lwork,overwrite_a])
Wrapper for ``dgeev``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(4*n,1)
Returns
-------
wr : rank-1 array('d') with bounds (n)
wi : rank-1 array('d') with bounds (n)
vl : rank-2 array('d') with bounds (ldvl,n)
vr : rank-2 array('d') with bounds (ldvr,n)
info : intwr,wi,vl,vr,info = sgeev(a,[compute_vl,compute_vr,lwork,overwrite_a])
Wrapper for ``sgeev``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
compute_vl : input int, optional
Default: 1
compute_vr : input int, optional
Default: 1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(4*n,1)
Returns
-------
wr : rank-1 array('f') with bounds (n)
wi : rank-1 array('f') with bounds (n)
vl : rank-2 array('f') with bounds (ldvl,n)
vr : rank-2 array('f') with bounds (ldvr,n)
info : intqr,tau,work,info = zgerqf(a,[lwork,overwrite_a])
Wrapper for ``zgerqf``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
qr : rank-2 array('D') with bounds (m,n) and a storage
tau : rank-1 array('D') with bounds (MIN(m, n))
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intqr,tau,work,info = cgerqf(a,[lwork,overwrite_a])
Wrapper for ``cgerqf``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
qr : rank-2 array('F') with bounds (m,n) and a storage
tau : rank-1 array('F') with bounds (MIN(m, n))
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intqr,tau,work,info = dgerqf(a,[lwork,overwrite_a])
Wrapper for ``dgerqf``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
qr : rank-2 array('d') with bounds (m,n) and a storage
tau : rank-1 array('d') with bounds (MIN(m, n))
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intqr,tau,work,info = sgerqf(a,[lwork,overwrite_a])
Wrapper for ``sgerqf``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*m,1)
Returns
-------
qr : rank-2 array('f') with bounds (m,n) and a storage
tau : rank-1 array('f') with bounds (MIN(m, n))
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intwork,info = zgeqrfp_lwork(m,n)
Wrapper for ``zgeqrfp_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : complex
info : intwork,info = cgeqrfp_lwork(m,n)
Wrapper for ``cgeqrfp_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : complex
info : intwork,info = dgeqrfp_lwork(m,n)
Wrapper for ``dgeqrfp_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : float
info : intwork,info = sgeqrfp_lwork(m,n)
Wrapper for ``sgeqrfp_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : float
info : intqr,tau,info = zgeqrfp(a,[lwork,overwrite_a])
Wrapper for ``zgeqrfp``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1, n)
Returns
-------
qr : rank-2 array('D') with bounds (m,n) and a storage
tau : rank-1 array('D') with bounds (MIN(m, n))
info : intqr,tau,info = cgeqrfp(a,[lwork,overwrite_a])
Wrapper for ``cgeqrfp``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1, n)
Returns
-------
qr : rank-2 array('F') with bounds (m,n) and a storage
tau : rank-1 array('F') with bounds (MIN(m, n))
info : intqr,tau,info = dgeqrfp(a,[lwork,overwrite_a])
Wrapper for ``dgeqrfp``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1, n)
Returns
-------
qr : rank-2 array('d') with bounds (m,n) and a storage
tau : rank-1 array('d') with bounds (MIN(m, n))
info : intqr,tau,info = sgeqrfp(a,[lwork,overwrite_a])
Wrapper for ``sgeqrfp``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(1, n)
Returns
-------
qr : rank-2 array('f') with bounds (m,n) and a storage
tau : rank-1 array('f') with bounds (MIN(m, n))
info : intwork,info = zgeqrf_lwork(m,n)
Wrapper for ``zgeqrf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : complex
info : intwork,info = cgeqrf_lwork(m,n)
Wrapper for ``cgeqrf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : complex
info : intwork,info = dgeqrf_lwork(m,n)
Wrapper for ``dgeqrf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : float
info : intwork,info = sgeqrf_lwork(m,n)
Wrapper for ``sgeqrf_lwork``.
Parameters
----------
m : input int
n : input int
Returns
-------
work : float
info : intqr,tau,work,info = zgeqrf(a,[lwork,overwrite_a])
Wrapper for ``zgeqrf``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
qr : rank-2 array('D') with bounds (m,n) and a storage
tau : rank-1 array('D') with bounds (MIN(m, n))
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intqr,tau,work,info = cgeqrf(a,[lwork,overwrite_a])
Wrapper for ``cgeqrf``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
qr : rank-2 array('F') with bounds (m,n) and a storage
tau : rank-1 array('F') with bounds (MIN(m, n))
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intqr,tau,work,info = dgeqrf(a,[lwork,overwrite_a])
Wrapper for ``dgeqrf``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
qr : rank-2 array('d') with bounds (m,n) and a storage
tau : rank-1 array('d') with bounds (MIN(m, n))
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intqr,tau,work,info = sgeqrf(a,[lwork,overwrite_a])
Wrapper for ``sgeqrf``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
qr : rank-2 array('f') with bounds (m,n) and a storage
tau : rank-1 array('f') with bounds (MIN(m, n))
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intqr,jpvt,tau,work,info = zgeqp3(a,[lwork,overwrite_a])
Wrapper for ``zgeqp3``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*(n+1),1)
Returns
-------
qr : rank-2 array('D') with bounds (m,n) and a storage
jpvt : rank-1 array('i') with bounds (n)
tau : rank-1 array('D') with bounds (MIN(m, n))
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intqr,jpvt,tau,work,info = cgeqp3(a,[lwork,overwrite_a])
Wrapper for ``cgeqp3``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*(n+1),1)
Returns
-------
qr : rank-2 array('F') with bounds (m,n) and a storage
jpvt : rank-1 array('i') with bounds (n)
tau : rank-1 array('F') with bounds (MIN(m, n))
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intqr,jpvt,tau,work,info = dgeqp3(a,[lwork,overwrite_a])
Wrapper for ``dgeqp3``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*(n+1),1)
Returns
-------
qr : rank-2 array('d') with bounds (m,n) and a storage
jpvt : rank-1 array('i') with bounds (n)
tau : rank-1 array('d') with bounds (MIN(m, n))
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intqr,jpvt,tau,work,info = sgeqp3(a,[lwork,overwrite_a])
Wrapper for ``sgeqp3``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*(n+1),1)
Returns
-------
qr : rank-2 array('f') with bounds (m,n) and a storage
jpvt : rank-1 array('i') with bounds (n)
tau : rank-1 array('f') with bounds (MIN(m, n))
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intwork,rwork,iwork,info = zgelsd_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``zgelsd_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : complex
rwork : float
iwork : int
info : intwork,rwork,iwork,info = cgelsd_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``cgelsd_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : complex
rwork : float
iwork : int
info : intx,s,rank,info = zgelsd(a,b,lwork,size_rwork,size_iwork,[cond,overwrite_a,overwrite_b])
Wrapper for ``zgelsd``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
b : input rank-2 array('D') with bounds (maxmn,nrhs)
lwork : input int
size_rwork : input int
size_iwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
Returns
-------
x : rank-2 array('D') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('d') with bounds (minmn)
rank : int
info : intx,s,rank,info = cgelsd(a,b,lwork,size_rwork,size_iwork,[cond,overwrite_a,overwrite_b])
Wrapper for ``cgelsd``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
b : input rank-2 array('F') with bounds (maxmn,nrhs)
lwork : input int
size_rwork : input int
size_iwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
Returns
-------
x : rank-2 array('F') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('f') with bounds (minmn)
rank : int
info : intwork,iwork,info = dgelsd_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``dgelsd_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : float
iwork : int
info : intwork,iwork,info = sgelsd_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``sgelsd_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : float
iwork : int
info : intx,s,rank,info = dgelsd(a,b,lwork,size_iwork,[cond,overwrite_a,overwrite_b])
Wrapper for ``dgelsd``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
b : input rank-2 array('d') with bounds (maxmn,nrhs)
lwork : input int
size_iwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
Returns
-------
x : rank-2 array('d') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('d') with bounds (minmn)
rank : int
info : intx,s,rank,info = sgelsd(a,b,lwork,size_iwork,[cond,overwrite_a,overwrite_b])
Wrapper for ``sgelsd``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
b : input rank-2 array('f') with bounds (maxmn,nrhs)
lwork : input int
size_iwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
Returns
-------
x : rank-2 array('f') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('f') with bounds (minmn)
rank : int
info : intwork,info = zgelsy_lwork(m,n,nrhs,cond,[lwork])
Wrapper for ``zgelsy_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
cond : input float
Other Parameters
----------------
lwork : input int, optional
Default: -1
Returns
-------
work : complex
info : intwork,info = cgelsy_lwork(m,n,nrhs,cond,[lwork])
Wrapper for ``cgelsy_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
cond : input float
Other Parameters
----------------
lwork : input int, optional
Default: -1
Returns
-------
work : complex
info : intv,x,j,rank,info = zgelsy(a,b,jptv,cond,lwork,[overwrite_a,overwrite_b])
Wrapper for ``zgelsy``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
b : input rank-2 array('D') with bounds (maxmn,nrhs)
jptv : input rank-1 array('i') with bounds (n)
cond : input float
lwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
v : rank-2 array('D') with bounds (m,n) and a storage
x : rank-2 array('D') with bounds (maxmn,nrhs) and b storage
j : rank-1 array('i') with bounds (n) and jptv storage
rank : int
info : intv,x,j,rank,info = cgelsy(a,b,jptv,cond,lwork,[overwrite_a,overwrite_b])
Wrapper for ``cgelsy``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
b : input rank-2 array('F') with bounds (maxmn,nrhs)
jptv : input rank-1 array('i') with bounds (n)
cond : input float
lwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
v : rank-2 array('F') with bounds (m,n) and a storage
x : rank-2 array('F') with bounds (maxmn,nrhs) and b storage
j : rank-1 array('i') with bounds (n) and jptv storage
rank : int
info : intwork,info = dgelsy_lwork(m,n,nrhs,cond,[lwork])
Wrapper for ``dgelsy_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
cond : input float
Other Parameters
----------------
lwork : input int, optional
Default: -1
Returns
-------
work : float
info : intwork,info = sgelsy_lwork(m,n,nrhs,cond,[lwork])
Wrapper for ``sgelsy_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
cond : input float
Other Parameters
----------------
lwork : input int, optional
Default: -1
Returns
-------
work : float
info : intv,x,j,rank,info = dgelsy(a,b,jptv,cond,lwork,[overwrite_a,overwrite_b])
Wrapper for ``dgelsy``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
b : input rank-2 array('d') with bounds (maxmn,nrhs)
jptv : input rank-1 array('i') with bounds (n)
cond : input float
lwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
v : rank-2 array('d') with bounds (m,n) and a storage
x : rank-2 array('d') with bounds (maxmn,nrhs) and b storage
j : rank-1 array('i') with bounds (n) and jptv storage
rank : int
info : intv,x,j,rank,info = sgelsy(a,b,jptv,cond,lwork,[overwrite_a,overwrite_b])
Wrapper for ``sgelsy``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
b : input rank-2 array('f') with bounds (maxmn,nrhs)
jptv : input rank-1 array('i') with bounds (n)
cond : input float
lwork : input int
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
v : rank-2 array('f') with bounds (m,n) and a storage
x : rank-2 array('f') with bounds (maxmn,nrhs) and b storage
j : rank-1 array('i') with bounds (n) and jptv storage
rank : int
info : intwork,info = zgelss_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``zgelss_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : complex
info : intwork,info = cgelss_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``cgelss_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : complex
info : intv,x,s,rank,work,info = zgelss(a,b,[cond,lwork,overwrite_a,overwrite_b])
Wrapper for ``zgelss``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
b : input rank-2 array('D') with bounds (maxmn,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: max(2*minmn+MAX(maxmn,nrhs),1)
Returns
-------
v : rank-2 array('D') with bounds (m,n) and a storage
x : rank-2 array('D') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('d') with bounds (minmn)
rank : int
work : rank-1 array('D') with bounds (MAX(lwork, 1))
info : intv,x,s,rank,work,info = cgelss(a,b,[cond,lwork,overwrite_a,overwrite_b])
Wrapper for ``cgelss``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
b : input rank-2 array('F') with bounds (maxmn,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: max(2*minmn+MAX(maxmn,nrhs),1)
Returns
-------
v : rank-2 array('F') with bounds (m,n) and a storage
x : rank-2 array('F') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('f') with bounds (minmn)
rank : int
work : rank-1 array('F') with bounds (MAX(lwork, 1))
info : intwork,info = dgelss_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``dgelss_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : float
info : intwork,info = sgelss_lwork(m,n,nrhs,[cond,lwork])
Wrapper for ``sgelss_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: -1
Returns
-------
work : float
info : intv,x,s,rank,work,info = dgelss(a,b,[cond,lwork,overwrite_a,overwrite_b])
Wrapper for ``dgelss``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
b : input rank-2 array('d') with bounds (maxmn,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: max(3*minmn+MAX(2*minmn,MAX(maxmn,nrhs)),1)
Returns
-------
v : rank-2 array('d') with bounds (m,n) and a storage
x : rank-2 array('d') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('d') with bounds (minmn)
rank : int
work : rank-1 array('d') with bounds (MAX(lwork, 1))
info : intv,x,s,rank,work,info = sgelss(a,b,[cond,lwork,overwrite_a,overwrite_b])
Wrapper for ``sgelss``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
b : input rank-2 array('f') with bounds (maxmn,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
cond : input float, optional
Default: -1.0
lwork : input int, optional
Default: max(3*minmn+MAX(2*minmn,MAX(maxmn,nrhs)),1)
Returns
-------
v : rank-2 array('f') with bounds (m,n) and a storage
x : rank-2 array('f') with bounds (maxmn,nrhs) and b storage
s : rank-1 array('f') with bounds (minmn)
rank : int
work : rank-1 array('f') with bounds (MAX(lwork, 1))
info : intwork,info = zgels_lwork(m,n,nrhs,[trans])
Wrapper for ``zgels_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
Returns
-------
work : complex
info : intwork,info = cgels_lwork(m,n,nrhs,[trans])
Wrapper for ``cgels_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
Returns
-------
work : complex
info : intwork,info = dgels_lwork(m,n,nrhs,[trans])
Wrapper for ``dgels_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
Returns
-------
work : float
info : intwork,info = sgels_lwork(m,n,nrhs,[trans])
Wrapper for ``sgels_lwork``.
Parameters
----------
m : input int
n : input int
nrhs : input int
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
Returns
-------
work : float
info : intlqr,x,info = zgels(a,b,[trans,lwork,overwrite_a,overwrite_b])
Wrapper for ``zgels``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
b : input rank-2 array('D') with bounds (MAX(m, n),nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1)
Returns
-------
lqr : rank-2 array('D') with bounds (m,n) and a storage
x : rank-2 array('D') with bounds (MAX(m, n),nrhs) and b storage
info : intlqr,x,info = cgels(a,b,[trans,lwork,overwrite_a,overwrite_b])
Wrapper for ``cgels``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
b : input rank-2 array('F') with bounds (MAX(m, n),nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1)
Returns
-------
lqr : rank-2 array('F') with bounds (m,n) and a storage
x : rank-2 array('F') with bounds (MAX(m, n),nrhs) and b storage
info : intlqr,x,info = dgels(a,b,[trans,lwork,overwrite_a,overwrite_b])
Wrapper for ``dgels``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
b : input rank-2 array('d') with bounds (MAX(m, n),nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1)
Returns
-------
lqr : rank-2 array('d') with bounds (m,n) and a storage
x : rank-2 array('d') with bounds (MAX(m, n),nrhs) and b storage
info : intlqr,x,info = sgels(a,b,[trans,lwork,overwrite_a,overwrite_b])
Wrapper for ``sgels``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
b : input rank-2 array('f') with bounds (MAX(m, n),nrhs)
Other Parameters
----------------
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1)
Returns
-------
lqr : rank-2 array('f') with bounds (m,n) and a storage
x : rank-2 array('f') with bounds (MAX(m, n),nrhs) and b storage
info : intwork,info = zgesvd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``zgesvd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : complex
info : intwork,info = cgesvd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``cgesvd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : complex
info : intu,s,vt,info = zgesvd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``zgesvd``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: MAX(2*minmn+MAX(m,n),1)
Returns
-------
u : rank-2 array('D') with bounds (u0,u1)
s : rank-1 array('d') with bounds (minmn)
vt : rank-2 array('D') with bounds (vt0,vt1)
info : intu,s,vt,info = cgesvd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``cgesvd``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: MAX(2*minmn+MAX(m,n),1)
Returns
-------
u : rank-2 array('F') with bounds (u0,u1)
s : rank-1 array('f') with bounds (minmn)
vt : rank-2 array('F') with bounds (vt0,vt1)
info : intwork,info = dgesvd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``dgesvd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : float
info : intwork,info = sgesvd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``sgesvd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : float
info : intu,s,vt,info = dgesvd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``dgesvd``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: max(MAX(3*minmn+MAX(m,n),5*minmn),1)
Returns
-------
u : rank-2 array('d') with bounds (u0,u1)
s : rank-1 array('d') with bounds (minmn)
vt : rank-2 array('d') with bounds (vt0,vt1)
info : intu,s,vt,info = sgesvd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``sgesvd``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: max(MAX(3*minmn+MAX(m,n),5*minmn),1)
Returns
-------
u : rank-2 array('f') with bounds (u0,u1)
s : rank-1 array('f') with bounds (minmn)
vt : rank-2 array('f') with bounds (vt0,vt1)
info : intwork,info = zgesdd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``zgesdd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : complex
info : intwork,info = cgesdd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``cgesdd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : complex
info : intu,s,vt,info = zgesdd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``zgesdd``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: max((compute_uv?2*minmn*minmn+MAX(m,n)+2*minmn:2*minmn+MAX(m,n)),1)
Returns
-------
u : rank-2 array('D') with bounds (u0,u1)
s : rank-1 array('d') with bounds (minmn)
vt : rank-2 array('D') with bounds (vt0,vt1)
info : intu,s,vt,info = cgesdd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``cgesdd``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: max((compute_uv?2*minmn*minmn+MAX(m,n)+2*minmn:2*minmn+MAX(m,n)),1)
Returns
-------
u : rank-2 array('F') with bounds (u0,u1)
s : rank-1 array('f') with bounds (minmn)
vt : rank-2 array('F') with bounds (vt0,vt1)
info : intwork,info = dgesdd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``dgesdd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : float
info : intwork,info = sgesdd_lwork(m,n,[compute_uv,full_matrices])
Wrapper for ``sgesdd_lwork``.
Parameters
----------
m : input int
n : input int
Other Parameters
----------------
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
Returns
-------
work : float
info : intu,s,vt,info = dgesdd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``dgesdd``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: max((compute_uv?4*minmn*minmn+MAX(m,n)+9*minmn:MAX(14*minmn+4,10*minmn+2+25*(25+8))+MAX(m,n)),1)
Returns
-------
u : rank-2 array('d') with bounds (u0,u1)
s : rank-1 array('d') with bounds (minmn)
vt : rank-2 array('d') with bounds (vt0,vt1)
info : intu,s,vt,info = sgesdd(a,[compute_uv,full_matrices,lwork,overwrite_a])
Wrapper for ``sgesdd``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
compute_uv : input int, optional
Default: 1
full_matrices : input int, optional
Default: 1
lwork : input int, optional
Default: max((compute_uv?4*minmn*minmn+MAX(m,n)+9*minmn:MAX(14*minmn+4,10*minmn+2+25*(25+8))+MAX(m,n)),1)
Returns
-------
u : rank-2 array('f') with bounds (u0,u1)
s : rank-1 array('f') with bounds (minmn)
vt : rank-2 array('f') with bounds (vt0,vt1)
info : intwork,info = zgetri_lwork(n)
Wrapper for ``zgetri_lwork``.
Parameters
----------
n : input int
Returns
-------
work : complex
info : intwork,info = cgetri_lwork(n)
Wrapper for ``cgetri_lwork``.
Parameters
----------
n : input int
Returns
-------
work : complex
info : intwork,info = dgetri_lwork(n)
Wrapper for ``dgetri_lwork``.
Parameters
----------
n : input int
Returns
-------
work : float
info : intwork,info = sgetri_lwork(n)
Wrapper for ``sgetri_lwork``.
Parameters
----------
n : input int
Returns
-------
work : float
info : intinv_a,info = zgetri(lu,piv,[lwork,overwrite_lu])
Wrapper for ``zgetri``.
Parameters
----------
lu : input rank-2 array('D') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_lu : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
inv_a : rank-2 array('D') with bounds (n,n) and lu storage
info : intinv_a,info = cgetri(lu,piv,[lwork,overwrite_lu])
Wrapper for ``cgetri``.
Parameters
----------
lu : input rank-2 array('F') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_lu : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
inv_a : rank-2 array('F') with bounds (n,n) and lu storage
info : intinv_a,info = dgetri(lu,piv,[lwork,overwrite_lu])
Wrapper for ``dgetri``.
Parameters
----------
lu : input rank-2 array('d') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_lu : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
inv_a : rank-2 array('d') with bounds (n,n) and lu storage
info : intinv_a,info = sgetri(lu,piv,[lwork,overwrite_lu])
Wrapper for ``sgetri``.
Parameters
----------
lu : input rank-2 array('f') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_lu : input int, optional
Default: 0
lwork : input int, optional
Default: max(3*n,1)
Returns
-------
inv_a : rank-2 array('f') with bounds (n,n) and lu storage
info : intx,scale = zgesc2(lu,rhs,ipiv,jpiv,[overwrite_rhs])
Wrapper for ``zgesc2``.
Parameters
----------
lu : input rank-2 array('D') with bounds (n,n)
rhs : input rank-1 array('D') with bounds (n)
ipiv : input rank-1 array('i') with bounds (n)
jpiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_rhs : input int, optional
Default: 0
Returns
-------
x : rank-1 array('D') with bounds (n) and rhs storage
scale : floatx,scale = cgesc2(lu,rhs,ipiv,jpiv,[overwrite_rhs])
Wrapper for ``cgesc2``.
Parameters
----------
lu : input rank-2 array('F') with bounds (n,n)
rhs : input rank-1 array('F') with bounds (n)
ipiv : input rank-1 array('i') with bounds (n)
jpiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_rhs : input int, optional
Default: 0
Returns
-------
x : rank-1 array('F') with bounds (n) and rhs storage
scale : floatx,scale = dgesc2(lu,rhs,ipiv,jpiv,[overwrite_rhs])
Wrapper for ``dgesc2``.
Parameters
----------
lu : input rank-2 array('d') with bounds (n,n)
rhs : input rank-1 array('d') with bounds (n)
ipiv : input rank-1 array('i') with bounds (n)
jpiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_rhs : input int, optional
Default: 0
Returns
-------
x : rank-1 array('d') with bounds (n) and rhs storage
scale : floatx,scale = sgesc2(lu,rhs,ipiv,jpiv,[overwrite_rhs])
Wrapper for ``sgesc2``.
Parameters
----------
lu : input rank-2 array('f') with bounds (n,n)
rhs : input rank-1 array('f') with bounds (n)
ipiv : input rank-1 array('i') with bounds (n)
jpiv : input rank-1 array('i') with bounds (n)
Other Parameters
----------------
overwrite_rhs : input int, optional
Default: 0
Returns
-------
x : rank-1 array('f') with bounds (n) and rhs storage
scale : floatlu,ipiv,jpiv,info = zgetc2(a,[overwrite_a])
Wrapper for ``zgetc2``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('D') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
jpiv : rank-1 array('i') with bounds (n)
info : intlu,ipiv,jpiv,info = cgetc2(a,[overwrite_a])
Wrapper for ``cgetc2``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('F') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
jpiv : rank-1 array('i') with bounds (n)
info : intlu,ipiv,jpiv,info = dgetc2(a,[overwrite_a])
Wrapper for ``dgetc2``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('d') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
jpiv : rank-1 array('i') with bounds (n)
info : intlu,ipiv,jpiv,info = sgetc2(a,[overwrite_a])
Wrapper for ``sgetc2``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('f') with bounds (n,n) and a storage
ipiv : rank-1 array('i') with bounds (n)
jpiv : rank-1 array('i') with bounds (n)
info : intx,info = zgetrs(lu,piv,b,[trans,overwrite_b])
Wrapper for ``zgetrs``.
Parameters
----------
lu : input rank-2 array('D') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
Returns
-------
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intx,info = cgetrs(lu,piv,b,[trans,overwrite_b])
Wrapper for ``cgetrs``.
Parameters
----------
lu : input rank-2 array('F') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
Returns
-------
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intx,info = dgetrs(lu,piv,b,[trans,overwrite_b])
Wrapper for ``dgetrs``.
Parameters
----------
lu : input rank-2 array('d') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
Returns
-------
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intx,info = sgetrs(lu,piv,b,[trans,overwrite_b])
Wrapper for ``sgetrs``.
Parameters
----------
lu : input rank-2 array('f') with bounds (n,n)
piv : input rank-1 array('i') with bounds (n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_b : input int, optional
Default: 0
trans : input int, optional
Default: 0
Returns
-------
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intlu,piv,info = zgetrf(a,[overwrite_a])
Wrapper for ``zgetrf``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('D') with bounds (m,n) and a storage
piv : rank-1 array('i') with bounds (MIN(m, n))
info : intlu,piv,info = cgetrf(a,[overwrite_a])
Wrapper for ``cgetrf``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('F') with bounds (m,n) and a storage
piv : rank-1 array('i') with bounds (MIN(m, n))
info : intlu,piv,info = dgetrf(a,[overwrite_a])
Wrapper for ``dgetrf``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('d') with bounds (m,n) and a storage
piv : rank-1 array('i') with bounds (MIN(m, n))
info : intlu,piv,info = sgetrf(a,[overwrite_a])
Wrapper for ``sgetrf``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('f') with bounds (m,n) and a storage
piv : rank-1 array('i') with bounds (MIN(m, n))
info : intrcond,info = zgecon(a,anorm,[norm])
Wrapper for ``zgecon``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
anorm : input float
Other Parameters
----------------
norm : input bytes, optional
Default: '1'
Returns
-------
rcond : float
info : intrcond,info = cgecon(a,anorm,[norm])
Wrapper for ``cgecon``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
anorm : input float
Other Parameters
----------------
norm : input bytes, optional
Default: '1'
Returns
-------
rcond : float
info : intrcond,info = dgecon(a,anorm,[norm])
Wrapper for ``dgecon``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
anorm : input float
Other Parameters
----------------
norm : input bytes, optional
Default: '1'
Returns
-------
rcond : float
info : intrcond,info = sgecon(a,anorm,[norm])
Wrapper for ``sgecon``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
anorm : input float
Other Parameters
----------------
norm : input bytes, optional
Default: '1'
Returns
-------
rcond : float
info : intas,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = zgesvx(a,b,[fact,trans,af,ipiv,equed,r,c,overwrite_a,overwrite_b])
Wrapper for ``zgesvx``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('D') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
equed : input bytes, optional
Default: 'B'
r : input rank-1 array('d') with bounds (n)
c : input rank-1 array('d') with bounds (n)
overwrite_b : input int, optional
Default: 0
Returns
-------
as : rank-2 array('D') with bounds (n,n) and a storage
lu : rank-2 array('D') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
equed : bytes
rs : rank-1 array('d') with bounds (n) and r storage
cs : rank-1 array('d') with bounds (n) and c storage
bs : rank-2 array('D') with bounds (n,nrhs) and b storage
x : rank-2 array('D') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intas,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = cgesvx(a,b,[fact,trans,af,ipiv,equed,r,c,overwrite_a,overwrite_b])
Wrapper for ``cgesvx``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('F') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
equed : input bytes, optional
Default: 'B'
r : input rank-1 array('f') with bounds (n)
c : input rank-1 array('f') with bounds (n)
overwrite_b : input int, optional
Default: 0
Returns
-------
as : rank-2 array('F') with bounds (n,n) and a storage
lu : rank-2 array('F') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
equed : bytes
rs : rank-1 array('f') with bounds (n) and r storage
cs : rank-1 array('f') with bounds (n) and c storage
bs : rank-2 array('F') with bounds (n,nrhs) and b storage
x : rank-2 array('F') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intas,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = dgesvx(a,b,[fact,trans,af,ipiv,equed,r,c,overwrite_a,overwrite_b])
Wrapper for ``dgesvx``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('d') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
equed : input bytes, optional
Default: 'B'
r : input rank-1 array('d') with bounds (n)
c : input rank-1 array('d') with bounds (n)
overwrite_b : input int, optional
Default: 0
Returns
-------
as : rank-2 array('d') with bounds (n,n) and a storage
lu : rank-2 array('d') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
equed : bytes
rs : rank-1 array('d') with bounds (n) and r storage
cs : rank-1 array('d') with bounds (n) and c storage
bs : rank-2 array('d') with bounds (n,nrhs) and b storage
x : rank-2 array('d') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('d') with bounds (nrhs)
berr : rank-1 array('d') with bounds (nrhs)
info : intas,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = sgesvx(a,b,[fact,trans,af,ipiv,equed,r,c,overwrite_a,overwrite_b])
Wrapper for ``sgesvx``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
fact : input bytes, optional
Default: 'E'
trans : input bytes, optional
Default: 'N'
overwrite_a : input int, optional
Default: 0
af : input rank-2 array('f') with bounds (n,n)
ipiv : input rank-1 array('i') with bounds (n)
equed : input bytes, optional
Default: 'B'
r : input rank-1 array('f') with bounds (n)
c : input rank-1 array('f') with bounds (n)
overwrite_b : input int, optional
Default: 0
Returns
-------
as : rank-2 array('f') with bounds (n,n) and a storage
lu : rank-2 array('f') with bounds (n,n) and af storage
ipiv : rank-1 array('i') with bounds (n)
equed : bytes
rs : rank-1 array('f') with bounds (n) and r storage
cs : rank-1 array('f') with bounds (n) and c storage
bs : rank-2 array('f') with bounds (n,nrhs) and b storage
x : rank-2 array('f') with bounds (n,nrhs)
rcond : float
ferr : rank-1 array('f') with bounds (nrhs)
berr : rank-1 array('f') with bounds (nrhs)
info : intlu,piv,x,info = zgesv(a,b,[overwrite_a,overwrite_b])
Wrapper for ``zgesv``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
b : input rank-2 array('D') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('D') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('D') with bounds (n,nrhs) and b storage
info : intlu,piv,x,info = cgesv(a,b,[overwrite_a,overwrite_b])
Wrapper for ``cgesv``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
b : input rank-2 array('F') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('F') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('F') with bounds (n,nrhs) and b storage
info : intlu,piv,x,info = dgesv(a,b,[overwrite_a,overwrite_b])
Wrapper for ``dgesv``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
b : input rank-2 array('d') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('d') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('d') with bounds (n,nrhs) and b storage
info : intlu,piv,x,info = sgesv(a,b,[overwrite_a,overwrite_b])
Wrapper for ``sgesv``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
b : input rank-2 array('f') with bounds (n,nrhs)
Other Parameters
----------------
overwrite_a : input int, optional
Default: 0
overwrite_b : input int, optional
Default: 0
Returns
-------
lu : rank-2 array('f') with bounds (n,n) and a storage
piv : rank-1 array('i') with bounds (n)
x : rank-2 array('f') with bounds (n,nrhs) and b storage
info : intwork,info = zgehrd_lwork(n,[lo,hi])
Wrapper for ``zgehrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : complex
info : intwork,info = cgehrd_lwork(n,[lo,hi])
Wrapper for ``cgehrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : complex
info : intwork,info = dgehrd_lwork(n,[lo,hi])
Wrapper for ``dgehrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : float
info : intwork,info = sgehrd_lwork(n,[lo,hi])
Wrapper for ``sgehrd_lwork``.
Parameters
----------
n : input int
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
Returns
-------
work : float
info : intht,tau,info = zgehrd(a,[lo,hi,lwork,overwrite_a])
Wrapper for ``zgehrd``.
Parameters
----------
a : input rank-2 array('D') with bounds (n,n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
ht : rank-2 array('D') with bounds (n,n) and a storage
tau : rank-1 array('D') with bounds (-1 + n)
info : intht,tau,info = cgehrd(a,[lo,hi,lwork,overwrite_a])
Wrapper for ``cgehrd``.
Parameters
----------
a : input rank-2 array('F') with bounds (n,n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
ht : rank-2 array('F') with bounds (n,n) and a storage
tau : rank-1 array('F') with bounds (-1 + n)
info : intht,tau,info = dgehrd(a,[lo,hi,lwork,overwrite_a])
Wrapper for ``dgehrd``.
Parameters
----------
a : input rank-2 array('d') with bounds (n,n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
ht : rank-2 array('d') with bounds (n,n) and a storage
tau : rank-1 array('d') with bounds (-1 + n)
info : intht,tau,info = sgehrd(a,[lo,hi,lwork,overwrite_a])
Wrapper for ``sgehrd``.
Parameters
----------
a : input rank-2 array('f') with bounds (n,n)
Other Parameters
----------------
lo : input int, optional
Default: 0
hi : input int, optional
Default: n-1
overwrite_a : input int, optional
Default: 0
lwork : input int, optional
Default: MAX(n,1)
Returns
-------
ht : rank-2 array('f') with bounds (n,n) and a storage
tau : rank-1 array('f') with bounds (-1 + n)
info : intba,lo,hi,pivscale,info = zgebal(a,[scale,permute,overwrite_a])
Wrapper for ``zgebal``.
Parameters
----------
a : input rank-2 array('D') with bounds (m,n)
Other Parameters
----------------
scale : input int, optional
Default: 0
permute : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ba : rank-2 array('D') with bounds (m,n) and a storage
lo : int
hi : int
pivscale : rank-1 array('d') with bounds (n)
info : intba,lo,hi,pivscale,info = cgebal(a,[scale,permute,overwrite_a])
Wrapper for ``cgebal``.
Parameters
----------
a : input rank-2 array('F') with bounds (m,n)
Other Parameters
----------------
scale : input int, optional
Default: 0
permute : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ba : rank-2 array('F') with bounds (m,n) and a storage
lo : int
hi : int
pivscale : rank-1 array('f') with bounds (n)
info : intba,lo,hi,pivscale,info = dgebal(a,[scale,permute,overwrite_a])
Wrapper for ``dgebal``.
Parameters
----------
a : input rank-2 array('d') with bounds (m,n)
Other Parameters
----------------
scale : input int, optional
Default: 0
permute : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ba : rank-2 array('d') with bounds (m,n) and a storage
lo : int
hi : int
pivscale : rank-1 array('d') with bounds (n)
info : intba,lo,hi,pivscale,info = sgebal(a,[scale,permute,overwrite_a])
Wrapper for ``sgebal``.
Parameters
----------
a : input rank-2 array('f') with bounds (m,n)
Other Parameters
----------------
scale : input int, optional
Default: 0
permute : input int, optional
Default: 0
overwrite_a : input int, optional
Default: 0
Returns
-------
ba : rank-2 array('f') with bounds (m,n) and a storage
lo : int
hi : int
pivscale : rank-1 array('f') with bounds (n)
info : int —oÐ —o
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Call-back cb_zselect_in_gees__user__routines failed.
zselect_extra_argsFailed to convert _flapack.zselect_extra_args to tuple.
()Callback zselect argument list is not set.
capi_return is NULL
(N)int_from_pyobj failed in converting return_value of call-back function cb_zselect_in_gees__user__routines to C int
Warning: call-back function cb_zselect_in_gees__user__routines did not provide return value (index=%d, type=int)
cselectcb: Callback cselect not defined (as an argument or module _flapack attribute).
Call-back cb_cselect_in_gees__user__routines failed.
cselect_extra_argsFailed to convert _flapack.cselect_extra_args to tuple.
Callback cselect argument list is not set.
int_from_pyobj failed in converting return_value of call-back function cb_cselect_in_gees__user__routines to C int
Warning: call-back function cb_cselect_in_gees__user__routines did not provide return value (index=%d, type=int)
dselectcb: Callback dselect not defined (as an argument or module _flapack attribute).
Call-back cb_dselect_in_gees__user__routines failed.
dselect_extra_argsFailed to convert _flapack.dselect_extra_args to tuple.
Callback dselect argument list is not set.
int_from_pyobj failed in converting return_value of call-back function cb_dselect_in_gees__user__routines to C int
Warning: call-back function cb_dselect_in_gees__user__routines did not provide return value (index=%d, type=int)
sselectcb: Callback sselect not defined (as an argument or module _flapack attribute).
Call-back cb_sselect_in_gees__user__routines failed.
sselect_extra_argsFailed to convert _flapack.sselect_extra_args to tuple.
Callback sselect argument list is not set.
int_from_pyobj failed in converting return_value of call-back function cb_sselect_in_gees__user__routines to C int
Warning: call-back function cb_sselect_in_gees__user__routines did not provide return value (index=%d, type=int)
Call-back cb_zselect_in_gges__user__routines failed.
int_from_pyobj failed in converting return_value of call-back function cb_zselect_in_gges__user__routines to C int
Warning: call-back function cb_zselect_in_gges__user__routines did not provide return value (index=%d, type=int)
Call-back cb_cselect_in_gges__user__routines failed.
int_from_pyobj failed in converting return_value of call-back function cb_cselect_in_gges__user__routines to C int
Warning: call-back function cb_cselect_in_gges__user__routines did not provide return value (index=%d, type=int)
Call-back cb_dselect_in_gges__user__routines failed.
int_from_pyobj failed in converting return_value of call-back function cb_dselect_in_gges__user__routines to C int
Warning: call-back function cb_dselect_in_gges__user__routines did not provide return value (index=%d, type=int)
Call-back cb_sselect_in_gges__user__routines failed.
int_from_pyobj failed in converting return_value of call-back function cb_sselect_in_gges__user__routines to C int
Warning: call-back function cb_sselect_in_gges__user__routines did not provide return value (index=%d, type=int)
OO|ii:_flapack.ssterf_flapack._flapack.ssterf: failed to create array from the 1st argument `d`_flapack._flapack.ssterf: failed to create array from the 2nd argument `e`OO|ii:_flapack.dsterf_flapack._flapack.dsterf: failed to create array from the 1st argument `d`_flapack._flapack.dsterf: failed to create array from the 2nd argument `e`O|:_flapack.sgeequ_flapack._flapack.sgeequ: failed to create array from the 1st argument `a`_flapack._flapack.sgeequ: failed to create array from the hidden `r`_flapack._flapack.sgeequ: failed to create array from the hidden `c`NNfffiO|:_flapack.dgeequ_flapack._flapack.dgeequ: failed to create array from the 1st argument `a`_flapack._flapack.dgeequ: failed to create array from the hidden `r`_flapack._flapack.dgeequ: failed to create array from the hidden `c`NNdddiO|:_flapack.cgeequ_flapack._flapack.cgeequ: failed to create array from the 1st argument `a`_flapack._flapack.cgeequ: failed to create array from the hidden `r`_flapack._flapack.cgeequ: failed to create array from the hidden `c`O|:_flapack.zgeequ_flapack._flapack.zgeequ: failed to create array from the 1st argument `a`_flapack._flapack.zgeequ: failed to create array from the hidden `r`_flapack._flapack.zgeequ: failed to create array from the hidden `c`O|:_flapack.sgeequb_flapack._flapack.sgeequb: failed to create array from the 1st argument `a`_flapack._flapack.sgeequb: failed to create array from the hidden `r`_flapack._flapack.sgeequb: failed to create array from the hidden `c`O|:_flapack.dgeequb_flapack._flapack.dgeequb: failed to create array from the 1st argument `a`_flapack._flapack.dgeequb: failed to create array from the hidden `r`_flapack._flapack.dgeequb: failed to create array from the hidden `c`O|:_flapack.cgeequb_flapack._flapack.cgeequb: failed to create array from the 1st argument `a`_flapack._flapack.cgeequb: failed to create array from the hidden `r`_flapack._flapack.cgeequb: failed to create array from the hidden `c`O|:_flapack.zgeequb_flapack._flapack.zgeequb: failed to create array from the 1st argument `a`_flapack._flapack.zgeequb: failed to create array from the hidden `r`_flapack._flapack.zgeequb: failed to create array from the hidden `c`OO|Oi:_flapack.sorgqr_flapack._flapack.sorgqr: failed to create array from the 1st argument `a`_flapack._flapack.sorgqr: failed to create array from the 2nd argument `tau`_flapack.sorgqr() 1st keyword (lwork) can't be converted to int%s: sorgqr:lwork=%d_flapack._flapack.sorgqr: failed to create array from the hidden `work`OO|Oi:_flapack.dorgqr_flapack._flapack.dorgqr: failed to create array from the 1st argument `a`_flapack._flapack.dorgqr: failed to create array from the 2nd argument `tau`_flapack.dorgqr() 1st keyword (lwork) can't be converted to int%s: dorgqr:lwork=%d_flapack._flapack.dorgqr: failed to create array from the hidden `work`OO|Oi:_flapack.cungqr_flapack._flapack.cungqr: failed to create array from the 1st argument `a`_flapack._flapack.cungqr: failed to create array from the 2nd argument `tau`_flapack.cungqr() 1st keyword (lwork) can't be converted to int%s: cungqr:lwork=%d_flapack._flapack.cungqr: failed to create array from the hidden `work`OO|Oi:_flapack.zungqr_flapack._flapack.zungqr: failed to create array from the 1st argument `a`_flapack._flapack.zungqr: failed to create array from the 2nd argument `tau`_flapack.zungqr() 1st keyword (lwork) can't be converted to int%s: zungqr:lwork=%d_flapack._flapack.zungqr: failed to create array from the hidden `work`OO|Oi:_flapack.zungrq_flapack._flapack.zungrq: failed to create array from the 1st argument `a`_flapack._flapack.zungrq: failed to create array from the 2nd argument `tau`_flapack.zungrq() 1st keyword (lwork) can't be converted to int%s: zungrq:lwork=%d_flapack._flapack.zungrq: failed to create array from the hidden `work`OO|Oi:_flapack.sorgrq_flapack._flapac
extra arguments tuple cannot be used with PyCapsule call-back
__code__co_argcount__defaults__create_cb_arglist: Failed to build argument list (siz) with enough arguments (tot-opt) required by user-supplied function (siz,tot,opt=%zd, %zd, %zd).
OOO|OOOOOOO!ii:_flapack.sgges_flapack.sgges() 1st keyword (jobvsl) can't be converted to int(jobvsl==0||jobvsl==1) failed for 1st keyword jobvsl%s: sgges:jobvsl=%d_flapack.sgges() 2nd keyword (jobvsr) can't be converted to int(jobvsr==0||jobvsr==1) failed for 2nd keyword jobvsr%s: sgges:jobvsr=%d_flapack.sgges() 3rd keyword (sort_t) can't be converted to int(sort_t==0||sort_t==1) failed for 3rd keyword sort_t%s: sgges:sort_t=%dfailed in processing argument list for call-back sselect._flapack._flapack.sgges: failed to create array from the 2nd argument `a`_flapack._flapack.sgges: failed to create array from the 3rd argument `b`_flapack._flapack.sgges: failed to create array from the hidden `alphar`_flapack._flapack.sgges: failed to create array from the hidden `alphai`_flapack._flapack.sgges: failed to create array from the hidden `beta`_flapack.sgges() 4th keyword (ldvsl) can't be converted to int_flapack.sgges() 5th keyword (ldvsr) can't be converted to int_flapack.sgges() 6th keyword (lwork) can't be converted to int(lwork>=MAX(1,MAX(8*n, 6*n+16))||lwork==-1) failed for 6th keyword lwork%s: sgges:lwork=%d_flapack._flapack.sgges: failed to create array from the hidden `bwork`_flapack._flapack.sgges: failed to create array from the hidden `vsl`_flapack._flapack.sgges: failed to create array from the hidden `vsr`_flapack._flapack.sgges: failed to create array from the hidden `work`NNiNNNNNNiOOO|OOOOOOO!ii:_flapack.dgges_flapack.dgges() 1st keyword (jobvsl) can't be converted to int%s: dgges:jobvsl=%d_flapack.dgges() 2nd keyword (jobvsr) can't be converted to int%s: dgges:jobvsr=%d_flapack.dgges() 3rd keyword (sort_t) can't be converted to int%s: dgges:sort_t=%dfailed in processing argument list for call-back dselect._flapack._flapack.dgges: failed to create array from the 2nd argument `a`_flapack._flapack.dgges: failed to create array from the 3rd argument `b`_flapack._flapack.dgges: failed to create array from the hidden `alphar`_flapack._flapack.dgges: failed to create array from the hidden `alphai`_flapack._flapack.dgges: failed to create array from the hidden `beta`_flapack.dgges() 4th keyword (ldvsl) can't be converted to int_flapack.dgges() 5th keyword (ldvsr) can't be converted to int_flapack.dgges() 6th keyword (lwork) can't be converted to int%s: dgges:lwork=%d_flapack._flapack.dgges: failed to create array from the hidden `bwork`_flapack._flapack.dgges: failed to create array from the hidden `vsl`_flapack._flapack.dgges: failed to create array from the hidden `vsr`_flapack._flapack.dgges: failed to create array from the hidden `work`OO|i:_flapack.zgeqrt_flapack._flapack.zgeqrt: failed to create array from the 2nd argument `a`_flapack.zgeqrt() 1st argument (nb) can't be converted to int(MIN(m,n)>=nb&&nb>=1) failed for 1st argument nb%s: zgeqrt:nb=%d_flapack._flapack.zgeqrt: failed to create array from the hidden `t`_flapack._flapack.zgeqrt: failed to create array from the hidden `work`OO|i:_flapack.sgeqrt_flapack._flapack.sgeqrt: failed to create array from the 2nd argument `a`_flapack.sgeqrt() 1st argument (nb) can't be converted to int%s: sgeqrt:nb=%d_flapack._flapack.sgeqrt: failed to create array from the hidden `t`_flapack._flapack.sgeqrt: failed to create array from the hidden `work`OO|i:_flapack.dgeqrt_flapack._flapack.dgeqrt: failed to create array from the 2nd argument `a`_flapack.dgeqrt() 1st argument (nb) can't be converted to int%s: dgeqrt:nb=%d_flapack._flapack.dgeqrt: failed to create array from the hidden `t`_flapack._flapack.dgeqrt: failed to create array from the hidden `work`OO|i:_flapack.cgeqrt_flapack._flapack.cgeqrt: failed to create array from the 2nd argument `a`_flapack.cgeqrt() 1st argument (nb) can't be converted to int%s: cgeqrt:nb=%d_flapack._flapack.cgeqrt: failed to create array from the hidden `t`_flapack._flapack.cgeqrt: failed to cr
Functions:
ba,lo,hi,pivscale,info = sgebal(a,scale=0,permute=0,overwrite_a=0)
ba,lo,hi,pivscale,info = dgebal(a,scale=0,permute=0,overwrite_a=0)
ba,lo,hi,pivscale,info = cgebal(a,scale=0,permute=0,overwrite_a=0)
ba,lo,hi,pivscale,info = zgebal(a,scale=0,permute=0,overwrite_a=0)
ht,tau,info = sgehrd(a,lo=0,hi=n-1,lwork=MAX(n,1),overwrite_a=0)
ht,tau,info = dgehrd(a,lo=0,hi=n-1,lwork=MAX(n,1),overwrite_a=0)
ht,tau,info = cgehrd(a,lo=0,hi=n-1,lwork=MAX(n,1),overwrite_a=0)
ht,tau,info = zgehrd(a,lo=0,hi=n-1,lwork=MAX(n,1),overwrite_a=0)
work,info = sgehrd_lwork(n,lo=0,hi=n-1)
work,info = dgehrd_lwork(n,lo=0,hi=n-1)
work,info = cgehrd_lwork(n,lo=0,hi=n-1)
work,info = zgehrd_lwork(n,lo=0,hi=n-1)
lu,piv,x,info = sgesv(a,b,overwrite_a=0,overwrite_b=0)
lu,piv,x,info = dgesv(a,b,overwrite_a=0,overwrite_b=0)
lu,piv,x,info = cgesv(a,b,overwrite_a=0,overwrite_b=0)
lu,piv,x,info = zgesv(a,b,overwrite_a=0,overwrite_b=0)
as,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = sgesvx(a,b,fact='E',trans='N',af=,ipiv=,equed='B',r=,c=,overwrite_a=0,overwrite_b=0)
as,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = dgesvx(a,b,fact='E',trans='N',af=,ipiv=,equed='B',r=,c=,overwrite_a=0,overwrite_b=0)
as,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = cgesvx(a,b,fact='E',trans='N',af=,ipiv=,equed='B',r=,c=,overwrite_a=0,overwrite_b=0)
as,lu,ipiv,equed,rs,cs,bs,x,rcond,ferr,berr,info = zgesvx(a,b,fact='E',trans='N',af=,ipiv=,equed='B',r=,c=,overwrite_a=0,overwrite_b=0)
rcond,info = sgecon(a,anorm,norm='1')
rcond,info = dgecon(a,anorm,norm='1')
rcond,info = cgecon(a,anorm,norm='1')
rcond,info = zgecon(a,anorm,norm='1')
lu,piv,info = sgetrf(a,overwrite_a=0)
lu,piv,info = dgetrf(a,overwrite_a=0)
lu,piv,info = cgetrf(a,overwrite_a=0)
lu,piv,info = zgetrf(a,overwrite_a=0)
x,info = sgetrs(lu,piv,b,trans=0,overwrite_b=0)
x,info = dgetrs(lu,piv,b,trans=0,overwrite_b=0)
x,info = cgetrs(lu,piv,b,trans=0,overwrite_b=0)
x,info = zgetrs(lu,piv,b,trans=0,overwrite_b=0)
lu,ipiv,jpiv,info = sgetc2(a,overwrite_a=0)
lu,ipiv,jpiv,info = dgetc2(a,overwrite_a=0)
lu,ipiv,jpiv,info = cgetc2(a,overwrite_a=0)
lu,ipiv,jpiv,info = zgetc2(a,overwrite_a=0)
x,scale = sgesc2(lu,rhs,ipiv,jpiv,overwrite_rhs=0)
x,scale = dgesc2(lu,rhs,ipiv,jpiv,overwrite_rhs=0)
x,scale = cgesc2(lu,rhs,ipiv,jpiv,overwrite_rhs=0)
x,scale = zgesc2(lu,rhs,ipiv,jpiv,overwrite_rhs=0)
inv_a,info = sgetri(lu,piv,lwork=max(3*n,1),overwrite_lu=0)
inv_a,info = dgetri(lu,piv,lwork=max(3*n,1),overwrite_lu=0)
inv_a,info = cgetri(lu,piv,lwork=max(3*n,1),overwrite_lu=0)
inv_a,info = zgetri(lu,piv,lwork=max(3*n,1),overwrite_lu=0)
work,info = sgetri_lwork(n)
work,info = dgetri_lwork(n)
work,info = cgetri_lwork(n)
work,info = zgetri_lwork(n)
u,s,vt,info = sgesdd(a,compute_uv=1,full_matrices=1,lwork=max((compute_uv?4*minmn*minmn+MAX(m,n)+9*minmn:MAX(14*minmn+4,10*minmn+2+25*(25+8))+MAX(m,n)),1),overwrite_a=0)
u,s,vt,info = dgesdd(a,compute_uv=1,full_matrices=1,lwork=max((compute_uv?4*minmn*minmn+MAX(m,n)+9*minmn:MAX(14*minmn+4,10*minmn+2+25*(25+8))+MAX(m,n)),1),overwrite_a=0)
work,info = sgesdd_lwork(m,n,compute_uv=1,full_matrices=1)
work,info = dgesdd_lwork(m,n,compute_uv=1,full_matrices=1)
u,s,vt,info = cgesdd(a,compute_uv=1,full_matrices=1,lwork=max((compute_uv?2*minmn*minmn+MAX(m,n)+2*minmn:2*minmn+MAX(m,n)),1),overwrite_a=0)
u,s,vt,info = zgesdd(a,compute_uv=1,full_matrices=1,lwork=max((compute_uv?2*minmn*minmn+MAX(m,n)+2*minmn:2*minmn+MAX(m,n)),1),overwrite_a=0)
work,info = cgesdd_lwork(m,n,compute_uv=1,full_matrices=1)
work,info = zgesdd_lwork(m,n,compute_uv=1,full_matrices=1)
u,s,vt,info = sgesvd(a,compute_uv=1,full_matrices=1,lwork=max(MAX(3*minmn+MAX(m,n),5*minmn),1),overwrite_a=0)
u,s,vt,info = dgesvd(a,compute_uv=1,full_matrices=1,lwork=max(MAX(3*minmn+MAX(m,n),5*minmn),1),overwrite_a=0)
work,info = sgesvd_lwork(m,n,compute_uv=1,full_matrices=1)
work,info = dgesvd_lwork(m,n,compute_uv=1,full_matrices=1)
u,s,vt,info = cgesvd(a,compute_uv=1,full_matrices=1,lwork=MAX(2*minmn+MAX(m,n),1),overwrite_a=0)
u,s,vt,info = zgesvd(a,compute_uv=1,full_matrices=1,lwork=MAX(2*minmn+MAX(m,n),1),overwrite_a=0)
work,info = cgesvd_lwork(m,n,compute_uv=1,full_matrices=1)
work,info = zgesvd_lwork(m,n,compute_uv=1,full_matrices=1)
lqr,x,info = sgels(a,b,trans='N',lwork=MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1),overwrite_a=0,overwrite_b=0)
lqr,x,info = dgels(a,b,trans='N',lwork=MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1),overwrite_a=0,overwrite_b=0)
lqr,x,info = cgels(a,b,trans='N',lwork=MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1),overwrite_a=0,overwrite_b=0)
lqr,x,info = zgels(a,b,trans='N',lwork=MAX(MIN(m,n)+MAX(MIN(m,n),nrhs),1),overwrite_a=0,overwrite_b=0)
work,info = sgels_lwork(m,n,nrhs,trans='N')
work,info = dgels_lwork(m,n,nrhs,trans='N')
work,info = cgels_lwork(m,n,nrhs,trans='N')
work,info = zgels_lwork(m,n,nrhs,trans='N')
v,x,s,rank,work,info = sgelss(a,b,cond=-1.0,lwork=max(3*minmn+MAX(2*minmn,MAX(maxmn,nrhs)),1),overwrite_a=0,overwrite_b=0)
v,x,s,rank,work,info = dgelss(a,b,cond=-1.0,lwork=max(3*minmn+MAX(2*minmn,MAX(maxmn,nrhs)),1),overwrite_a=0,overwrite_b=0)
work,info = sgelss_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
work,info = dgelss_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
v,x,s,rank,work,info = cgelss(a,b,cond=-1.0,lwork=max(2*minmn+MAX(maxmn,nrhs),1),overwrite_a=0,overwrite_b=0)
v,x,s,rank,work,info = zgelss(a,b,cond=-1.0,lwork=max(2*minmn+MAX(maxmn,nrhs),1),overwrite_a=0,overwrite_b=0)
work,info = cgelss_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
work,info = zgelss_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
v,x,j,rank,info = sgelsy(a,b,jptv,cond,lwork,overwrite_a=0,overwrite_b=0)
v,x,j,rank,info = dgelsy(a,b,jptv,cond,lwork,overwrite_a=0,overwrite_b=0)
work,info = sgelsy_lwork(m,n,nrhs,cond,lwork=-1)
work,info = dgelsy_lwork(m,n,nrhs,cond,lwork=-1)
v,x,j,rank,info = cgelsy(a,b,jptv,cond,lwork,overwrite_a=0,overwrite_b=0)
v,x,j,rank,info = zgelsy(a,b,jptv,cond,lwork,overwrite_a=0,overwrite_b=0)
work,info = cgelsy_lwork(m,n,nrhs,cond,lwork=-1)
work,info = zgelsy_lwork(m,n,nrhs,cond,lwork=-1)
x,s,rank,info = sgelsd(a,b,lwork,size_iwork,cond=-1.0,overwrite_a=0,overwrite_b=0)
x,s,rank,info = dgelsd(a,b,lwork,size_iwork,cond=-1.0,overwrite_a=0,overwrite_b=0)
work,iwork,info = sgelsd_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
work,iwork,info = dgelsd_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
x,s,rank,info = cgelsd(a,b,lwork,size_rwork,size_iwork,cond=-1.0,overwrite_a=0,overwrite_b=0)
x,s,rank,info = zgelsd(a,b,lwork,size_rwork,size_iwork,cond=-1.0,overwrite_a=0,overwrite_b=0)
work,rwork,iwork,info = cgelsd_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
work,rwork,iwork,info = zgelsd_lwork(m,n,nrhs,cond=-1.0,lwork=-1)
qr,jpvt,tau,work,info = sgeqp3(a,lwork=max(3*(n+1),1),overwrite_a=0)
qr,jpvt,tau,work,info = dgeqp3(a,lwork=max(3*(n+1),1),overwrite_a=0)
qr,jpvt,tau,work,info = cgeqp3(a,lwork=max(3*(n+1),1),overwrite_a=0)
qr,jpvt,tau,work,info = zgeqp3(a,lwork=max(3*(n+1),1),overwrite_a=0)
qr,tau,work,info = sgeqrf(a,lwork=max(3*n,1),overwrite_a=0)
qr,tau,work,info = dgeqrf(a,lwork=max(3*n,1),overwrite_a=0)
qr,tau,work,info = cgeqrf(a,lwork=max(3*n,1),overwrite_a=0)
qr,tau,work,info = zgeqrf(a,lwork=max(3*n,1),overwrite_a=0)
work,info = sgeqrf_lwork(m,n)
work,info = dgeqrf_lwork(m,n)
work,info = cgeqrf_lwork(m,n)
work,info = zgeqrf_lwork(m,n)
qr,tau,info = sgeqrfp(a,lwork=MAX(1, n),overwrite_a=0)
qr,tau,info = dgeqrfp(a,lwork=MAX(1, n),overwrite_a=0)
qr,tau,info = cgeqrfp(a,lwork=MAX(1, n),overwrite_a=0)
qr,tau,info = zgeqrfp(a,lwork=MAX(1, n),overwrite_a=0)
work,info = sgeqrfp_lwork(m,n)
work,info = dgeqrfp_lwork(m,n)
work,info = cgeqrfp_lwork(m,n)
work,info = zgeqrfp_lwork(m,n)
qr,tau,work,info = sgerqf(a,lwork=max(3*m,1),overwrite_a=0)
qr,tau,work,info = dgerqf(a,lwork=max(3*m,1),overwrite_a=0)
qr,tau,work,info = cgerqf(a,lwork=max(3*m,1),overwrite_a=0)
qr,tau,work,info = zgerqf(a,lwork=max(3*m,1),overwrite_a=0)
wr,wi,vl,vr,info = sgeev(a,compute_vl=1,compute_vr=1,lwork=max(4*n,1),overwrite_a=0)
wr,wi,vl,vr,info = dgeev(a,compute_vl=1,compute_vr=1,lwork=max(4*n,1),overwrite_a=0)
work,info = sgeev_lwork(n,compute_vl=1,compute_vr=1)
work,info = dgeev_lwork(n,compute_vl=1,compute_vr=1)
w,vl,vr,info = cgeev(a,compute_vl=1,compute_vr=1,lwork=max(2*n,1),overwrite_a=0)
w,vl,vr,info = zgeev(a,compute_vl=1,compute_vr=1,lwork=max(2*n,1),overwrite_a=0)
work,info = cgeev_lwork(n,compute_vl=1,compute_vr=1)
work,info = zgeev_lwork(n,compute_vl=1,compute_vr=1)
t,sdim,w,vs,work,info = cgees(cselect,a,compute_v=1,sort_t=0,lwork=max(3*n,1),cselect_extra_args=(),overwrite_a=0)
t,sdim,w,vs,work,info = zgees(zselect,a,compute_v=1,sort_t=0,lwork=max(3*n,1),zselect_extra_args=(),overwrite_a=0)
t,sdim,wr,wi,vs,work,info = sgees(sselect,a,compute_v=1,sort_t=0,lwork=max(3*n,1),sselect_extra_args=(),overwrite_a=0)
t,sdim,wr,wi,vs,work,info = dgees(dselect,a,compute_v=1,sort_t=0,lwork=max(3*n,1),dselect_extra_args=(),overwrite_a=0)
a,b,sdim,alphar,alphai,beta,vsl,vsr,work,info = sgges(sselect,a,b,jobvsl=1,jobvsr=1,sort_t=0,ldvsl=((jobvsl==1)?n:1),ldvsr=((jobvsr==1)?n:1),lwork=max(8*n+16,1),sselect_extra_args=(),overwrite_a=0,overwrite_b=0)
a,b,sdim,alphar,alphai,beta,vsl,vsr,work,info = dgges(dselect,a,b,jobvsl=1,jobvsr=1,sort_t=0,ldvsl=((jobvsl==1)?n:1),ldvsr=((jobvsr==1)?n:1),lwork=max(8*n+16,1),dselect_extra_args=(),overwrite_a=0,overwrite_b=0)
a,b,sdim,alpha,beta,vsl,vsr,work,info = cgges(cselect,a,b,jobvsl=1,jobvsr=1,sort_t=0,ldvsl=((jobvsl==1)?n:1),ldvsr=((jobvsr==1)?n:1),lwork=max(2*n,1),cselect_extra_args=(),overwrite_a=0,overwrite_b=0)
a,b,sdim,alpha,beta,vsl,vsr,work,info = zgges(zselect,a,b,jobvsl=1,jobvsr=1,sort_t=0,ldvsl=((jobvsl==1)?n:1),ldvsr=((jobvsr==1)?n:1),lwork=max(2*n,1),zselect_extra_args=(),overwrite_a=0,overwrite_b=0)
alphar,alphai,beta,vl,vr,work,info = sggev(a,b,compute_vl=1,compute_vr=1,lwork=max(8*n,1),overwrite_a=0,overwrite_b=0)
alphar,alphai,beta,vl,vr,work,info = dggev(a,b,compute_vl=1,compute_vr=1,lwork=max(8*n,1),overwrite_a=0,overwrite_b=0)
alpha,beta,vl,vr,work,info = cggev(a,b,compute_vl=1,compute_vr=1,lwork=max(2*n,1),overwrite_a=0,overwrite_b=0)
alpha,beta,vl,vr,work,info = zggev(a,b,compute_vl=1,compute_vr=1,lwork=max(2*n,1),overwrite_a=0,overwrite_b=0)
r,c,rowcnd,colcnd,amax,info = sgeequ(a)
r,c,rowcnd,colcnd,amax,info = dgeequ(a)
r,c,rowcnd,colcnd,amax,info = cgeequ(a)
r,c,rowcnd,colcnd,amax,info = zgeequ(a)
r,c,rowcnd,colcnd,amax,info = sgeequb(a)
r,c,rowcnd,colcnd,amax,info = dgeequb(a)
r,c,rowcnd,colcnd,amax,info = cgeequb(a)
r,c,rowcnd,colcnd,amax,info = zgeequb(a)
lub,piv,x,info = sgbsv(kl,ku,ab,b,overwrite_ab=0,overwrite_b=0)
lub,piv,x,info = dgbsv(kl,ku,ab,b,overwrite_ab=0,overwrite_b=0)
lub,piv,x,info = cgbsv(kl,ku,ab,b,overwrite_ab=0,overwrite_b=0)
lub,piv,x,info = zgbsv(kl,ku,ab,b,overwrite_ab=0,overwrite_b=0)
lu,ipiv,info = sgbtrf(ab,kl,ku,m=shape(ab,1),n=shape(ab,1),ldab=max(shape(ab,0),1),overwrite_ab=0)
lu,ipiv,info = dgbtrf(ab,kl,ku,m=shape(ab,1),n=shape(ab,1),ldab=max(shape(ab,0),1),overwrite_ab=0)
lu,ipiv,info = cgbtrf(ab,kl,ku,m=shape(ab,1),n=shape(ab,1),ldab=max(shape(ab,0),1),overwrite_ab=0)
lu,ipiv,info = zgbtrf(ab,kl,ku,m=shape(ab,1),n=shape(ab,1),ldab=max(shape(ab,0),1),overwrite_ab=0)
x,info = sgbtrs(ab,kl,ku,b,ipiv,trans=0,n=shape(ab,1),ldab=shape(ab,0),ldb=shape(b,0),overwrite_b=0)
x,info = dgbtrs(ab,kl,ku,b,ipiv,trans=0,n=shape(ab,1),ldab=shape(ab,0),ldb=shape(b,0),overwrite_b=0)
x,info = cgbtrs(ab,kl,ku,b,ipiv,trans=0,n=shape(ab,1),ldab=shape(ab,0),ldb=shape(b,0),overwrite_b=0)
x,info = zgbtrs(ab,kl,ku,b,ipiv,trans=0,n=shape(ab,1),ldab=shape(ab,0),ldb=shape(b,0),overwrite_b=0)
du2,d,du,x,info = sgtsv(dl,d,du,b,overwrite_dl=0,overwrite_d=0,overwrite_du=0,overwrite_b=0)
du2,d,du,x,info = dgtsv(dl,d,du,b,overwrite_dl=0,overwrite_d=0,overwrite_du=0,overwrite_b=0)
du2,d,du,x,info = cgtsv(dl,d,du,b,overwrite_dl=0,overwrite_d=0,overwrite_du=0,overwrite_b=0)
du2,d,du,x,info = zgtsv(dl,d,du,b,overwrite_dl=0,overwrite_d=0,overwrite_du=0,overwrite_b=0)
dl,d,du,du2,ipiv,info = sgttrf(dl,d,du,overwrite_dl=0,overwrite_d=0,overwrite_du=0)
dl,d,du,du2,ipiv,info = dgttrf(dl,d,du,overwrite_dl=0,overwrite_d=0,overwrite_du=0)
dl,d,du,du2,ipiv,info = cgttrf(dl,d,du,overwrite_dl=0,overwrite_d=0,overwrite_du=0)
dl,d,du,du2,ipiv,info = zgttrf(dl,d,du,overwrite_dl=0,overwrite_d=0,overwrite_du=0)
x,info = sgttrs(dl,d,du,du2,ipiv,b,trans='N',overwrite_b=0)
x,info = dgttrs(dl,d,du,du2,ipiv,b,trans='N',overwrite_b=0)
x,info = cgttrs(dl,d,du,du2,ipiv,b,trans='N',overwrite_b=0)
x,info = zgttrs(dl,d,du,du2,ipiv,b,trans='N',overwrite_b=0)
dlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = sgtsvx(dl,d,du,b,fact='N',trans='N',dlf=,df=,duf=,du2=,ipiv=)
dlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = dgtsvx(dl,d,du,b,fact='N',trans='N',dlf=,df=,duf=,du2=,ipiv=)
dlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = cgtsvx(dl,d,du,b,fact='N',trans='N',dlf=,df=,duf=,du2=,ipiv=)
dlf,df,duf,du2,ipiv,x,rcond,ferr,berr,info = zgtsvx(dl,d,du,b,fact='N',trans='N',dlf=,df=,duf=,du2=,ipiv=)
w,v,info = ssyev(a,compute_v=1,lower=0,lwork=max(3*n-1,1),overwrite_a=0)
w,v,info = dsyev(a,compute_v=1,lower=0,lwork=max(3*n-1,1),overwrite_a=0)
work,info = ssyev_lwork(n,lower=0)
work,info = dsyev_lwork(n,lower=0)
w,v,info = cheev(a,compute_v=1,lower=0,lwork=max(2*n-1,1),overwrite_a=0)
w,v,info = zheev(a,compute_v=1,lower=0,lwork=max(2*n-1,1),overwrite_a=0)
work,info = cheev_lwork(n,lower=0)
work,info = zheev_lwork(n,lower=0)
w,v,info = ssyevd(a,compute_v=1,lower=0,lwork=max((compute_v?1+6*n+2*n*n:2*n+1),1),liwork=(compute_v?3+5*n:1),overwrite_a=0)
w,v,info = dsyevd(a,compute_v=1,lower=0,lwork=max((compute_v?1+6*n+2*n*n:2*n+1),1),liwork=(compute_v?3+5*n:1),overwrite_a=0)
work,iwork,info = ssyevd_lwork(n,compute_v=1,lower=0)
work,iwork,info = dsyevd_lwork(n,compute_v=1,lower=0)
w,v,info = cheevd(a,compute_v=1,lower=0,lwork=max((compute_v?2*n+n*n:n+1),1),liwork=(compute_v?3+5*n:1),lrwork=(compute_v?1+5*n+2*n*n:n),overwrite_a=0)
w,v,info = zheevd(a,compute_v=1,lower=0,lwork=max((compute_v?2*n+n*n:n+1),1),liwork=(compute_v?3+5*n:1),lrwork=(compute_v?1+5*n+2*n*n:n),overwrite_a=0)
work,iwork,rwork,info = cheevd_lwork(n,compute_v=1,lower=0)
work,iwork,rwork,info = zheevd_lwork(n,compute_v=1,lower=0)
ldu,ipiv,info = ssytf2(a,lower=0,overwrite_a=0)
ldu,ipiv,info = dsytf2(a,lower=0,overwrite_a=0)
ldu,ipiv,info = csytf2(a,lower=0,overwrite_a=0)
ldu,ipiv,info = zsytf2(a,lower=0,overwrite_a=0)
c,info = ssygst(a,b,itype=1,lower=0,overwrite_a=0)
c,info = dsygst(a,b,itype=1,lower=0,overwrite_a=0)
ldu,ipiv,info = ssytrf(a,lower=0,lwork=max(n,1),overwrite_a=0)
ldu,ipiv,info = dsytrf(a,lower=0,lwork=max(n,1),overwrite_a=0)
ldu,ipiv,info = csytrf(a,lower=0,lwork=max(n,1),overwrite_a=0)
ldu,ipiv,info = zsytrf(a,lower=0,lwork=max(n,1),overwrite_a=0)
work,info = ssytrf_lwork(n,lower=0)
work,info = dsytrf_lwork(n,lower=0)
work,info = csytrf_lwork(n,lower=0)
work,info = zsytrf_lwork(n,lower=0)
udut,ipiv,x,info = ssysv(a,b,lwork=max(n,1),lower=0,overwrite_a=0,overwrite_b=0)
udut,ipiv,x,info = dsysv(a,b,lwork=max(n,1),lower=0,overwrite_a=0,overwrite_b=0)
udut,ipiv,x,info = csysv(a,b,lwork=max(n,1),lower=0,overwrite_a=0,overwrite_b=0)
udut,ipiv,x,info = zsysv(a,b,lwork=max(n,1),lower=0,overwrite_a=0,overwrite_b=0)
work,info = ssysv_lwork(n,lower=0)
work,info = dsysv_lwork(n,lower=0)
work,info = csysv_lwork(n,lower=0)
work,info = zsysv_lwork(n,lower=0)
a_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = ssysvx(a,b,af=,ipiv=,lwork=max(3*n,1),factored=0,lower=0,overwrite_a=0,overwrite_b=0)
a_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = dsysvx(a,b,af=,ipiv=,lwork=max(3*n,1),factored=0,lower=0,overwrite_a=0,overwrite_b=0)
a_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = csysvx(a,b,af=,ipiv=,lwork=max(3*n,1),factored=0,lower=0,overwrite_a=0,overwrite_b=0)
a_s,udut,ipiv,b_s,x,rcond,ferr,berr,info = zsysvx(a,b,af=,ipiv=,lwork=max(3*n,1),factored=0,lower=0,overwrite_a=0,overwrite_b=0)
work,info = ssysvx_lwork(n,lower=0)
work,info = dsysvx_lwork(n,lower=0)
work,info = csysvx_lwork(n,lower=0)
work,info = zsysvx_lwork(n,lower=0)
rcond,info = ssycon(a,ipiv,anorm,lower=0)
rcond,info = dsycon(a,ipiv,anorm,lower=0)
rcond,info = csycon(a,ipiv,anorm,lower=0)
rcond,info = zsycon(a,ipiv,anorm,lower=0)
rcond,info = checon(a,ipiv,anorm,lower=0)
rcond,info = zhecon(a,ipiv,anorm,lower=0)
a,e,info = ssyconv(a,ipiv,lower=0,way=0,overwrite_a=0)
a,e,info = dsyconv(a,ipiv,lower=0,way=0,overwrite_a=0)
a,e,info = csyconv(a,ipiv,lower=0,way=0,overwrite_a=0)
a,e,info = zsyconv(a,ipiv,lower=0,way=0,overwrite_a=0)
c,info = chegst(a,b,itype=1,lower=0,overwrite_a=0)
c,info = zhegst(a,b,itype=1,lower=0,overwrite_a=0)
ldu,ipiv,info = chetrf(a,lower=0,lwork=max(n,1),overwrite_a=0)
ldu,ipiv,info = zhetrf(a,lower=0,lwork=max(n,1),overwrite_a=0)
work,info = chetrf_lwork(n,lower=0)
work,info = zhetrf_lwork(n,lower=0)
uduh,ipiv,x,info = chesv(a,b,lwork=max(n,1),lower=0,overwrite_a=0,overwrite_b=0)
uduh,ipiv,x,info = zhesv(a,b,lwork=max(n,1),lower=0,overwrite_a=0,overwrite_b=0)
work,info = chesv_lwork(n,lower=0)
work,info = zhesv_lwork(n,lower=0)
uduh,ipiv,x,rcond,ferr,berr,info = chesvx(a,b,af=,ipiv=,lwork=max(2*n,1),factored=0,lower=0,overwrite_a=0,overwrite_b=0)
uduh,ipiv,x,rcond,ferr,berr,info = zhesvx(a,b,af=,ipiv=,lwork=max(2*n,1),factored=0,lower=0,overwrite_a=0,overwrite_b=0)
work,info = chesvx_lwork(n,lower=0)
work,info = zhesvx_lwork(n,lower=0)
c,d,e,tau,info = ssytrd(a,lower=0,lwork=MAX(n,1),overwrite_a=0)
c,d,e,tau,info = dsytrd(a,lower=0,lwork=MAX(n,1),overwrite_a=0)
work,info = ssytrd_lwork(n,lower=0)
work,info = dsytrd_lwork(n,lower=0)
c,d,e,tau,info = chetrd(a,lower=0,lwork=MAX(n,1),overwrite_a=0)
c,d,e,tau,info = zhetrd(a,lower=0,lwork=MAX(n,1),overwrite_a=0)
work,info = chetrd_lwork(n,lower=0)
work,info = zhetrd_lwork(n,lower=0)
w,z,m,isuppz,info = ssyevr(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(26*n,1),liwork=max(1,10*n),overwrite_a=0)
w,z,m,isuppz,info = dsyevr(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(26*n,1),liwork=max(1,10*n),overwrite_a=0)
work,iwork,info = ssyevr_lwork(n,lower=0)
work,iwork,info = dsyevr_lwork(n,lower=0)
w,z,m,isuppz,info = cheevr(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(2*n,1),lrwork=max(24*n,1),liwork=max(1,10*n),overwrite_a=0)
w,z,m,isuppz,info = zheevr(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(2*n,1),lrwork=max(24*n,1),liwork=max(1,10*n),overwrite_a=0)
work,rwork,iwork,info = cheevr_lwork(n,lower=0)
work,rwork,iwork,info = zheevr_lwork(n,lower=0)
w,z,m,ifail,info = ssyevx(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(8*n,1),overwrite_a=0)
w,z,m,ifail,info = dsyevx(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(8*n,1),overwrite_a=0)
work,info = ssyevx_lwork(n,lower=0)
work,info = dsyevx_lwork(n,lower=0)
w,z,m,ifail,info = cheevx(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(2*n,1),overwrite_a=0)
w,z,m,ifail,info = zheevx(a,compute_v=1,range='A',lower=0,vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(2*n,1),overwrite_a=0)
work,info = cheevx_lwork(n,lower=0)
work,info = zheevx_lwork(n,lower=0)
w,v,info = ssygv(a,b,itype=1,jobz='V',uplo='L',lwork=max(3*n-1,1),overwrite_a=0,overwrite_b=0)
w,v,info = dsygv(a,b,itype=1,jobz='V',uplo='L',lwork=max(3*n-1,1),overwrite_a=0,overwrite_b=0)
work,info = ssygv_lwork(n,uplo='L')
work,info = dsygv_lwork(n,uplo='L')
w,v,info = chegv(a,b,itype=1,jobz='V',uplo='L',lwork=max(2*n-1,1),overwrite_a=0,overwrite_b=0)
w,v,info = zhegv(a,b,itype=1,jobz='V',uplo='L',lwork=max(2*n-1,1),overwrite_a=0,overwrite_b=0)
work,info = chegv_lwork(n,uplo='L')
work,info = zhegv_lwork(n,uplo='L')
w,v,info = ssygvd(a,b,itype=1,jobz='V',uplo='L',lwork=(jobz=='N'?2*n+1:1+6*n+2*n*n),liwork=(jobz=='N'?1:5*n+3),overwrite_a=0,overwrite_b=0)
w,v,info = dsygvd(a,b,itype=1,jobz='V',uplo='L',lwork=(jobz=='N'?2*n+1:1+6*n+2*n*n),liwork=(jobz=='N'?1:5*n+3),overwrite_a=0,overwrite_b=0)
w,v,info = chegvd(a,b,itype=1,jobz='V',uplo='L',lwork=(jobz=='N'?n+1:n*(n+2)),lrwork=max((jobz=='N'?n:2*n*n+5*n+1),1),liwork=(jobz=='N'?1:5*n+3),overwrite_a=0,overwrite_b=0)
w,v,info = zhegvd(a,b,itype=1,jobz='V',uplo='L',lwork=(jobz=='N'?n+1:n*(n+2)),lrwork=max((jobz=='N'?n:2*n*n+5*n+1),1),liwork=(jobz=='N'?1:5*n+3),overwrite_a=0,overwrite_b=0)
w,z,m,ifail,info = ssygvx(a,b,itype=1,jobz='V',range='A',uplo='L',vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(8*n,1),overwrite_a=0,overwrite_b=0)
w,z,m,ifail,info = dsygvx(a,b,itype=1,jobz='V',range='A',uplo='L',vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(8*n,1),overwrite_a=0,overwrite_b=0)
work,info = ssygvx_lwork(n,uplo='L')
work,info = dsygvx_lwork(n,uplo='L')
w,z,m,ifail,info = chegvx(a,b,itype=1,jobz='V',range='A',uplo='L',vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(2*n,1),overwrite_a=0,overwrite_b=0)
w,z,m,ifail,info = zhegvx(a,b,itype=1,jobz='V',range='A',uplo='L',vl=0.0,vu=1.0,il=1,iu=n,abstol=0.0,lwork=max(2*n,1),overwrite_a=0,overwrite_b=0)
work,info = chegvx_lwork(n,uplo='L')
work,info = zhegvx_lwork(n,uplo='L')
s,scond,amax,info = ssyequb(a,lower=0)
s,scond,amax,info = dsyequb(a,lower=0)
s,scond,amax,info = csyequb(a,lower=0)
s,scond,amax,info = zsyequb(a,lower=0)
s,scond,amax,info = cheequb(a,lower=0)
s,scond,amax,info = zheequb(a,lower=0)
c,piv,rank_c,info = spstrf(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = dpstrf(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = cpstrf(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = zpstrf(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = spstf2(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = dpstf2(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = cpstf2(a,tol=-1.0,lower=0,overwrite_a=0)
c,piv,rank_c,info = zpstf2(a,tol=-1.0,lower=0,overwrite_a=0)
c,x,info = sposv(a,b,lower=0,overwrite_a=0,overwrite_b=0)
c,x,info = dposv(a,b,lower=0,overwrite_a=0,overwrite_b=0)
c,x,info = cposv(a,b,lower=0,overwrite_a=0,overwrite_b=0)
c,x,info = zposv(a,b,lower=0,overwrite_a=0,overwrite_b=0)
a_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = sposvx(a,b,fact='E',af=,equed='Y',s=,lower=0,overwrite_a=0,overwrite_b=0)
a_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = dposvx(a,b,fact='E',af=,equed='Y',s=,lower=0,overwrite_a=0,overwrite_b=0)
a_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = cposvx(a,b,fact='E',af=,equed='Y',s=,lower=0,overwrite_a=0,overwrite_b=0)
a_s,lu,equed,s,b_s,x,rcond,ferr,berr,info = zposvx(a,b,fact='E',af=,equed='Y',s=,lower=0,overwrite_a=0,overwrite_b=0)
rcond,info = spocon(a,anorm,uplo='U')
rcond,info = dpocon(a,anorm,uplo='U')
rcond,info = cpocon(a,anorm,uplo='U')
rcond,info = zpocon(a,anorm,uplo='U')
c,info = spotrf(a,lower=0,clean=1,overwrite_a=0)
c,info = dpotrf(a,lower=0,clean=1,overwrite_a=0)
c,info = cpotrf(a,lower=0,clean=1,overwrite_a=0)
c,info = zpotrf(a,lower=0,clean=1,overwrite_a=0)
x,info = spotrs(c,b,lower=0,overwrite_b=0)
x,info = dpotrs(c,b,lower=0,overwrite_b=0)
x,info = cpotrs(c,b,lower=0,overwrite_b=0)
x,info = zpotrs(c,b,lower=0,overwrite_b=0)
inv_a,info = spotri(c,lower=0,overwrite_c=0)
inv_a,info = dpotri(c,lower=0,overwrite_c=0)
inv_a,info = cpotri(c,lower=0,overwrite_c=0)
inv_a,info = zpotri(c,lower=0,overwrite_c=0)
d,du,x,info = sptsv(d,e,b,overwrite_d=0,overwrite_e=0,overwrite_b=0)
d,du,x,info = dptsv(d,e,b,overwrite_d=0,overwrite_e=0,overwrite_b=0)
d,du,x,info = cptsv(d,e,b,overwrite_d=0,overwrite_e=0,overwrite_b=0)
d,du,x,info = zptsv(d,e,b,overwrite_d=0,overwrite_e=0,overwrite_b=0)
d,e,info = spttrf(d,e,overwrite_d=0,overwrite_e=0)
d,e,info = dpttrf(d,e,overwrite_d=0,overwrite_e=0)
d,e,info = cpttrf(d,e,overwrite_d=0,overwrite_e=0)
d,e,info = zpttrf(d,e,overwrite_d=0,overwrite_e=0)
x,info = spttrs(d,e,b,overwrite_b=0)
x,info = dpttrs(d,e,b,overwrite_b=0)
x,info = cpttrs(d,e,b,lower=0,overwrite_b=0)
x,info = zpttrs(d,e,b,lower=0,overwrite_b=0)
d,e,z,info = spteqr(d,e,z,compute_z=0,overwrite_d=0,overwrite_e=0,overwrite_z=0)
d,e,z,info = dpteqr(d,e,z,compute_z=0,overwrite_d=0,overwrite_e=0,overwrite_z=0)
d,e,z,info = cpteqr(d,e,z,compute_z=0,overwrite_d=0,overwrite_e=0,overwrite_z=0)
d,e,z,info = zpteqr(d,e,z,compute_z=0,overwrite_d=0,overwrite_e=0,overwrite_z=0)
df,ef,x,rcond,ferr,berr,info = sptsvx(d,e,b,fact='N',df=,ef=)
df,ef,x,rcond,ferr,berr,info = dptsvx(d,e,b,fact='N',df=,ef=)
df,ef,x,rcond,ferr,berr,info = cptsvx(d,e,b,fact='N',df=,ef=)
df,ef,x,rcond,ferr,berr,info = zptsvx(d,e,b,fact='N',df=,ef=)
sva,u,v,workout,iworkout,info = sgejsv(a,joba=4,jobu=0,jobv=0,jobr=1,jobt=0,jobp=1,lwork=max(6*n+2*n*n, max(2*m+n, max(4*n+n*n, max(2*n+n*n+6, 7)))),overwrite_a=0)
sva,u,v,workout,iworkout,info = dgejsv(a,joba=4,jobu=0,jobv=0,jobr=1,jobt=0,jobp=1,lwork=max(6*n+2*n*n, max(2*m+n, max(4*n+n*n, max(2*n+n*n+6, 7)))),overwrite_a=0)
a,q,info = strexc(a,q,ifst,ilst,wantq=1,overwrite_a=0,overwrite_q=0)
a,q,info = dtrexc(a,q,ifst,ilst,wantq=1,overwrite_a=0,overwrite_q=0)
a,q,info = ctrexc(a,q,ifst,ilst,wantq=1,overwrite_a=0,overwrite_q=0)
a,q,info = ztrexc(a,q,ifst,ilst,wantq=1,overwrite_a=0,overwrite_q=0)
a,b,q,z,work,info = stgexc(a,b,q,z,ifst,ilst,wantq=1,wantz=1,lwork=max(4*n+16,1),overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
a,b,q,z,work,info = dtgexc(a,b,q,z,ifst,ilst,wantq=1,wantz=1,lwork=max(4*n+16,1),overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
a,b,q,z,info = ctgexc(a,b,q,z,ifst,ilst,wantq=1,wantz=1,overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
a,b,q,z,info = ztgexc(a,b,q,z,ifst,ilst,wantq=1,wantz=1,overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
ts,qs,wr,wi,m,s,sep,info = strsen(select,t,q,job='B',wantq=1,lwork=MAX(1,n),liwork=1,overwrite_t=0,overwrite_q=0)
ts,qs,wr,wi,m,s,sep,info = dtrsen(select,t,q,job='B',wantq=1,lwork=MAX(1,n),liwork=1,overwrite_t=0,overwrite_q=0)
work,iwork,info = strsen_lwork(select,t,job='B')
work,iwork,info = dtrsen_lwork(select,t,job='B')
ts,qs,w,m,s,sep,info = ctrsen(select,t,q,job='B',wantq=1,lwork=MAX(1,n),overwrite_t=0,overwrite_q=0)
ts,qs,w,m,s,sep,info = ztrsen(select,t,q,job='B',wantq=1,lwork=MAX(1,n),overwrite_t=0,overwrite_q=0)
work,info = ctrsen_lwork(select,t,job='B')
work,info = ztrsen_lwork(select,t,job='B')
as,bs,alphar,alphai,beta,qs,zs,m,pl,pr,dif,info = stgsen(select,a,b,q,z,ijob=4,wantq=1,wantz=1,lwork=4*n+16,liwork=n+6,overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
as,bs,alphar,alphai,beta,qs,zs,m,pl,pr,dif,info = dtgsen(select,a,b,q,z,ijob=4,wantq=1,wantz=1,lwork=4*n+16,liwork=n+6,overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
work,iwork,info = stgsen_lwork(select,a,ijob=4)
work,iwork,info = dtgsen_lwork(select,a,ijob=4)
as,bs,alpha,beta,qs,zs,m,pl,pr,dif,info = ctgsen(select,a,b,q,z,ijob=4,wantq=1,wantz=1,lwork=(ijob==0?1:n+2),liwork=(ijob==0?1:n+2),overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
as,bs,alpha,beta,qs,zs,m,pl,pr,dif,info = ztgsen(select,a,b,q,z,ijob=4,wantq=1,wantz=1,lwork=(ijob==0?1:n+2),liwork=(ijob==0?1:n+2),overwrite_a=0,overwrite_b=0,overwrite_q=0,overwrite_z=0)
work,iwork,info = ctgsen_lwork(select,a,b,ijob=4)
work,iwork,info = ztgsen_lwork(select,a,b,ijob=4)
r,l,scale,dif,info = stgsyl(a,b,c,d,e,f,trans='N',ijob=0,lwork=max(1,2*m*n),overwrite_c=0,overwrite_f=0)
r,l,scale,dif,info = dtgsyl(a,b,c,d,e,f,trans='N',ijob=0,lwork=max(1,2*m*n),overwrite_c=0,overwrite_f=0)
c,info = spbtrf(ab,lower=0,ldab=shape(ab,0),overwrite_ab=0)
c,info = dpbtrf(ab,lower=0,ldab=shape(ab,0),overwrite_ab=0)
c,info = cpbtrf(ab,lower=0,ldab=shape(ab,0),overwrite_ab=0)
c,info = zpbtrf(ab,lower=0,ldab=shape(ab,0),overwrite_ab=0)
x,info = spbtrs(ab,b,lower=0,ldab=shape(ab,0),overwrite_b=0)
x,info = dpbtrs(ab,b,lower=0,ldab=shape(ab,0),overwrite_b=0)
x,info = cpbtrs(ab,b,lower=0,ldab=shape(ab,0),overwrite_b=0)
x,info = zpbtrs(ab,b,lower=0,ldab=shape(ab,0),overwrite_b=0)
x,info = strtrs(a,b,lower=0,trans=0,unitdiag=0,lda=shape(a,0),overwrite_b=0)
x,info = dtrtrs(a,b,lower=0,trans=0,unitdiag=0,lda=shape(a,0),overwrite_b=0)
x,info = ctrtrs(a,b,lower=0,trans=0,unitdiag=0,lda=shape(a,0),overwrite_b=0)
x,info = ztrtrs(a,b,lower=0,trans=0,unitdiag=0,lda=shape(a,0),overwrite_b=0)
x,info = stbtrs(ab,b,uplo='U',trans='N',diag='N',overwrite_b=0)
x,info = dtbtrs(ab,b,uplo='U',trans='N',diag='N',overwrite_b=0)
x,info = ctbtrs(ab,b,uplo='U',trans='N',diag='N',overwrite_b=0)
x,info = ztbtrs(ab,b,uplo='U',trans='N',diag='N',overwrite_b=0)
c,x,info = spbsv(ab,b,lower=0,ldab=shape(ab,0),overwrite_ab=0,overwrite_b=0)
c,x,info = dpbsv(ab,b,lower=0,ldab=shape(ab,0),overwrite_ab=0,overwrite_b=0)
c,x,info = cpbsv(ab,b,lower=0,ldab=shape(ab,0),overwrite_ab=0,overwrite_b=0)
c,x,info = zpbsv(ab,b,lower=0,ldab=shape(ab,0),overwrite_ab=0,overwrite_b=0)
cs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = sorcsd(x11,x12,x21,x22,compute_u1=1,compute_u2=1,compute_v1t=1,compute_v2t=1,trans=0,signs=0,lwork=2+2*m+5*MAX(1,q-1)+4*MAX(1,q)+8*q,overwrite_x11=0,overwrite_x12=0,overwrite_x21=0,overwrite_x22=0)
cs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = dorcsd(x11,x12,x21,x22,compute_u1=1,compute_u2=1,compute_v1t=1,compute_v2t=1,trans=0,signs=0,lwork=2+2*m+5*MAX(1,q-1)+4*MAX(1,q)+8*q,overwrite_x11=0,overwrite_x12=0,overwrite_x21=0,overwrite_x22=0)
work,info = sorcsd_lwork(m,p,q)
work,info = dorcsd_lwork(m,p,q)
cs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = cuncsd(x11,x12,x21,x22,compute_u1=1,compute_u2=1,compute_v1t=1,compute_v2t=1,trans=0,signs=0,lwork=2*m+MAX(1,MAX(mmp,mmq))+1,lrwork=5*MAX(1,q-1)+4*MAX(1,q)+8*q+1,overwrite_x11=0,overwrite_x12=0,overwrite_x21=0,overwrite_x22=0)
cs11,cs12,cs21,cs22,theta,u1,u2,v1t,v2t,info = zuncsd(x11,x12,x21,x22,compute_u1=1,compute_u2=1,compute_v1t=1,compute_v2t=1,trans=0,signs=0,lwork=2*m+MAX(1,MAX(mmp,mmq))+1,lrwork=5*MAX(1,q-1)+4*MAX(1,q)+8*q+1,overwrite_x11=0,overwrite_x12=0,overwrite_x21=0,overwrite_x22=0)
work,rwork,info = cuncsd_lwork(m,p,q)
work,rwork,info = zuncsd_lwork(m,p,q)
ht,info = sorghr(a,tau,lo=0,hi=n-1,lwork=max(hi-lo,1),overwrite_a=0)
ht,info = dorghr(a,tau,lo=0,hi=n-1,lwork=max(hi-lo,1),overwrite_a=0)
work,info = sorghr_lwork(n,lo=0,hi=n-1)
work,info = dorghr_lwork(n,lo=0,hi=n-1)
ht,info = cunghr(a,tau,lo=0,hi=n-1,lwork=max(hi-lo,1),overwrite_a=0)
ht,info = zunghr(a,tau,lo=0,hi=n-1,lwork=max(hi-lo,1),overwrite_a=0)
work,info = cunghr_lwork(n,lo=0,hi=n-1)
work,info = zunghr_lwork(n,lo=0,hi=n-1)
q,work,info = sorgqr(a,tau,lwork=max(3*n,1),overwrite_a=0)
q,work,info = dorgqr(a,tau,lwork=max(3*n,1),overwrite_a=0)
q,work,info = cungqr(a,tau,lwork=max(3*n,1),overwrite_a=0)
q,work,info = zungqr(a,tau,lwork=max(3*n,1),overwrite_a=0)
cq,work,info = sormqr(side,trans,a,tau,c,lwork,overwrite_c=0)
cq,work,info = dormqr(side,trans,a,tau,c,lwork,overwrite_c=0)
cq,work,info = cunmqr(side,trans,a,tau,c,lwork,overwrite_c=0)
cq,work,info = zunmqr(side,trans,a,tau,c,lwork,overwrite_c=0)
a,t,info = sgeqrt(nb,a,overwrite_a=0)
a,t,info = dgeqrt(nb,a,overwrite_a=0)
a,t,info = cgeqrt(nb,a,overwrite_a=0)
a,t,info = zgeqrt(nb,a,overwrite_a=0)
c,info = sgemqrt(v,t,c,side='L',trans='N',overwrite_c=0)
c,info = dgemqrt(v,t,c,side='L',trans='N',overwrite_c=0)
c,info = cgemqrt(v,t,c,side='L',trans='N',overwrite_c=0)
c,info = zgemqrt(v,t,c,side='L',trans='N',overwrite_c=0)
a,b,t,info = stpqrt(l,nb,a,b,overwrite_a=0,overwrite_b=0)
a,b,t,info = dtpqrt(l,nb,a,b,overwrite_a=0,overwrite_b=0)
a,b,t,info = ctpqrt(l,nb,a,b,overwrite_a=0,overwrite_b=0)
a,b,t,info = ztpqrt(l,nb,a,b,overwrite_a=0,overwrite_b=0)
a,b,info = stpmqrt(l,v,t,a,b,side='L',trans='N',overwrite_a=0,overwrite_b=0)
a,b,info = dtpmqrt(l,v,t,a,b,side='L',trans='N',overwrite_a=0,overwrite_b=0)
a,b,info = ctpmqrt(l,v,t,a,b,side='L',trans='N',overwrite_a=0,overwrite_b=0)
a,b,info = ztpmqrt(l,v,t,a,b,side='L',trans='N',overwrite_a=0,overwrite_b=0)
cq,info = sormrz(a,tau,c,side='L',trans='N',lwork=MAX((side=='L'?n:m),1),overwrite_c=0)
cq,info = dormrz(a,tau,c,side='L',trans='N',lwork=MAX((side=='L'?n:m),1),overwrite_c=0)
cq,info = cunmrz(a,tau,c,side='L',trans='N',lwork=MAX((side=='L'?n:m),1),overwrite_c=0)
cq,info = zunmrz(a,tau,c,side='L',trans='N',lwork=MAX((side=='L'?n:m),1),overwrite_c=0)
work,info = sormrz_lwork(m,n,side='L',trans='N')
work,info = dormrz_lwork(m,n,side='L',trans='N')
work,info = cunmrz_lwork(m,n,side='L',trans='N')
work,info = zunmrz_lwork(m,n,side='L',trans='N')
q,work,info = sorgrq(a,tau,lwork=max(3*m,1),overwrite_a=0)
q,work,info = dorgrq(a,tau,lwork=max(3*m,1),overwrite_a=0)
q,work,info = cungrq(a,tau,lwork=max(3*m,1),overwrite_a=0)
q,work,info = zungrq(a,tau,lwork=max(3*m,1),overwrite_a=0)
inv_c,info = strtri(c,lower=0,unitdiag=0,overwrite_c=0)
inv_c,info = dtrtri(c,lower=0,unitdiag=0,overwrite_c=0)
inv_c,info = ctrtri(c,lower=0,unitdiag=0,overwrite_c=0)
inv_c,info = ztrtri(c,lower=0,unitdiag=0,overwrite_c=0)
x,scale,info = strsyl(a,b,c,trana='N',tranb='N',isgn=1,overwrite_c=0)
x,scale,info = dtrsyl(a,b,c,trana='N',tranb='N',isgn=1,overwrite_c=0)
x,scale,info = ctrsyl(a,b,c,trana='N',tranb='N',isgn=1,overwrite_c=0)
x,scale,info = ztrsyl(a,b,c,trana='N',tranb='N',isgn=1,overwrite_c=0)
w,z,info = chbevd(ab,compute_v=1,lower=0,ldab=shape(ab,0),lrwork=(compute_v?1+5*n+2*n*n:n),liwork=(compute_v?3+5*n:1),overwrite_ab=1)
w,z,info = zhbevd(ab,compute_v=1,lower=0,ldab=shape(ab,0),lrwork=(compute_v?1+5*n+2*n*n:n),liwork=(compute_v?3+5*n:1),overwrite_ab=1)
w,z,m,ifail,info = chbevx(ab,vl,vu,il,iu,ldab=shape(ab,0),compute_v=1,range=0,lower=0,abstol=0.0,mmax=(compute_v?(range==2?(iu-il+1):n):1),overwrite_ab=1)
w,z,m,ifail,info = zhbevx(ab,vl,vu,il,iu,ldab=shape(ab,0),compute_v=1,range=0,lower=0,abstol=0.0,mmax=(compute_v?(range==2?(iu-il+1):n):1),overwrite_ab=1)
t,r,res,x,info = sgglse(a,b,c,d,lwork=max(m+n+p,1),overwrite_a=0,overwrite_b=0,overwrite_c=0,overwrite_d=0)
t,r,res,x,info = dgglse(a,b,c,d,lwork=max(m+n+p,1),overwrite_a=0,overwrite_b=0,overwrite_c=0,overwrite_d=0)
t,r,res,x,info = cgglse(a,b,c,d,lwork=max(m+n+p,1),overwrite_a=0,overwrite_b=0,overwrite_c=0,overwrite_d=0)
t,r,res,x,info = zgglse(a,b,c,d,lwork=max(m+n+p,1),overwrite_a=0,overwrite_b=0,overwrite_c=0,overwrite_d=0)
work,info = sgglse_lwork(m,n,p)
work,info = dgglse_lwork(m,n,p)
work,info = cgglse_lwork(m,n,p)
work,info = zgglse_lwork(m,n,p)
rcond,info = sppcon(n,ap,anorm,lower=0)
rcond,info = dppcon(n,ap,anorm,lower=0)
rcond,info = cppcon(n,ap,anorm,lower=0)
rcond,info = zppcon(n,ap,anorm,lower=0)
x,info = sppsv(n,ap,b,lower=0,overwrite_b=0)
x,info = dppsv(n,ap,b,lower=0,overwrite_b=0)
x,info = cppsv(n,ap,b,lower=0,overwrite_b=0)
x,info = zppsv(n,ap,b,lower=0,overwrite_b=0)
ul,info = spptrf(n,ap,lower=0,overwrite_ap=0)
ul,info = dpptrf(n,ap,lower=0,overwrite_ap=0)
ul,info = cpptrf(n,ap,lower=0,overwrite_ap=0)
ul,info = zpptrf(n,ap,lower=0,overwrite_ap=0)
uli,info = spptri(n,ap,lower=0,overwrite_ap=0)
uli,info = dpptri(n,ap,lower=0,overwrite_ap=0)
uli,info = cpptri(n,ap,lower=0,overwrite_ap=0)
uli,info = zpptri(n,ap,lower=0,overwrite_ap=0)
x,info = spptrs(n,ap,b,lower=0,overwrite_b=0)
x,info = dpptrs(n,ap,b,lower=0,overwrite_b=0)
x,info = cpptrs(n,ap,b,lower=0,overwrite_b=0)
x,info = zpptrs(n,ap,b,lower=0,overwrite_b=0)
w,z,info = ssbev(ab,compute_v=1,lower=0,ldab=shape(ab,0),overwrite_ab=1)
w,z,info = dsbev(ab,compute_v=1,lower=0,ldab=shape(ab,0),overwrite_ab=1)
w,z,info = ssbevd(ab,compute_v=1,lower=0,ldab=shape(ab,0),liwork=(compute_v?3+5*n:1),overwrite_ab=1)
w,z,info = dsbevd(ab,compute_v=1,lower=0,ldab=shape(ab,0),liwork=(compute_v?3+5*n:1),overwrite_ab=1)
w,z,m,ifail,info = ssbevx(ab,vl,vu,il,iu,ldab=shape(ab,0),compute_v=1,range=0,lower=0,abstol=0.0,mmax=(compute_v?(range==2?(iu-il+1):n):1),overwrite_ab=1)
w,z,m,ifail,info = dsbevx(ab,vl,vu,il,iu,ldab=shape(ab,0),compute_v=1,range=0,lower=0,abstol=0.0,mmax=(compute_v?(range==2?(iu-il+1):n):1),overwrite_ab=1)
m,w,iblock,isplit,info = sstebz(d,e,range,vl,vu,il,iu,tol,order)
m,w,iblock,isplit,info = dstebz(d,e,range,vl,vu,il,iu,tol,order)
vals,info = ssterf(d,e,overwrite_d=0,overwrite_e=0)
vals,info = dsterf(d,e,overwrite_d=0,overwrite_e=0)
z,info = sstein(d,e,w,iblock,isplit)
z,info = dstein(d,e,w,iblock,isplit)
m,w,z,info = sstemr(d,e,range,vl,vu,il,iu,compute_v=1,lwork=max((compute_v?18*n:12*n),1),liwork=(compute_v?10*n:8*n),overwrite_d=0)
m,w,z,info = dstemr(d,e,range,vl,vu,il,iu,compute_v=1,lwork=max((compute_v?18*n:12*n),1),liwork=(compute_v?10*n:8*n),overwrite_d=0)
work,iwork,info = sstemr_lwork(d,e,range,vl,vu,il,iu,compute_v=1,overwrite_d=0,overwrite_e=0)
work,iwork,info = dstemr_lwork(d,e,range,vl,vu,il,iu,compute_v=1,overwrite_d=0,overwrite_e=0)
vals,z,info = sstev(d,e,compute_v=1,overwrite_d=0,overwrite_e=0)
vals,z,info = dstev(d,e,compute_v=1,overwrite_d=0,overwrite_e=0)
cout = ssfrk(n,k,alpha,a,beta,c,transr='N',uplo='U',trans='N',overwrite_c=0)
cout = dsfrk(n,k,alpha,a,beta,c,transr='N',uplo='U',trans='N',overwrite_c=0)
cout = chfrk(n,k,alpha,a,beta,c,transr='N',uplo='U',trans='N',overwrite_c=0)
cout = zhfrk(n,k,alpha,a,beta,c,transr='N',uplo='U',trans='N',overwrite_c=0)
arf,info = stpttf(n,ap,transr='N',uplo='U')
arf,info = dtpttf(n,ap,transr='N',uplo='U')
arf,info = ctpttf(n,ap,transr='N',uplo='U')
arf,info = ztpttf(n,ap,transr='N',uplo='U')
a,info = stpttr(n,ap,uplo='U')
a,info = dtpttr(n,ap,uplo='U')
a,info = ctpttr(n,ap,uplo='U')
a,info = ztpttr(n,ap,uplo='U')
ap,info = stfttp(n,arf,transr='N',uplo='U')
ap,info = dtfttp(n,arf,transr='N',uplo='U')
ap,info = ctfttp(n,arf,transr='N',uplo='U')
ap,info = ztfttp(n,arf,transr='N',uplo='U')
a,info = stfttr(n,arf,transr='N',uplo='U')
a,info = dtfttr(n,arf,transr='N',uplo='U')
a,info = ctfttr(n,arf,transr='N',uplo='U')
a,info = ztfttr(n,arf,transr='N',uplo='U')
arf,info = strttf(a,transr='N',uplo='U')
arf,info = dtrttf(a,transr='N',uplo='U')
arf,info = ctrttf(a,transr='N',uplo='U')
arf,info = ztrttf(a,transr='N',uplo='U')
ap,info = strttp(a,uplo='U')
ap,info = dtrttp(a,uplo='U')
ap,info = ctrttp(a,uplo='U')
ap,info = ztrttp(a,uplo='U')
x = stfsm(alpha,a,b,transr='N',side='L',uplo='U',trans='N',diag='N',overwrite_b=0)
x = dtfsm(alpha,a,b,transr='N',side='L',uplo='U',trans='N',diag='N',overwrite_b=0)
x = ctfsm(alpha,a,b,transr='N',side='L',uplo='U',trans='N',diag='N',overwrite_b=0)
x = ztfsm(alpha,a,b,transr='N',side='L',uplo='U',trans='N',diag='N',overwrite_b=0)
achol,info = spftrf(n,a,transr='N',uplo='U',overwrite_a=0)
achol,info = dpftrf(n,a,transr='N',uplo='U',overwrite_a=0)
achol,info = cpftrf(n,a,transr='N',uplo='U',overwrite_a=0)
achol,info = zpftrf(n,a,transr='N',uplo='U',overwrite_a=0)
ainv,info = spftri(n,a,transr='N',uplo='U',overwrite_a=0)
ainv,info = dpftri(n,a,transr='N',uplo='U',overwrite_a=0)
ainv,info = cpftri(n,a,transr='N',uplo='U',overwrite_a=0)
ainv,info = zpftri(n,a,transr='N',uplo='U',overwrite_a=0)
x,info = spftrs(n,a,b,transr='N',uplo='U',overwrite_b=0)
x,info = dpftrs(n,a,b,transr='N',uplo='U',overwrite_b=0)
x,info = cpftrs(n,a,b,transr='N',uplo='U',overwrite_b=0)
x,info = zpftrs(n,a,b,transr='N',uplo='U',overwrite_b=0)
rz,tau,info = stzrzf(a,lwork=MAX(m,1),overwrite_a=0)
rz,tau,info = dtzrzf(a,lwork=MAX(m,1),overwrite_a=0)
rz,tau,info = ctzrzf(a,lwork=MAX(m,1),overwrite_a=0)
rz,tau,info = ztzrzf(a,lwork=MAX(m,1),overwrite_a=0)
work,info = stzrzf_lwork(m,n)
work,info = dtzrzf_lwork(m,n)
work,info = ctzrzf_lwork(m,n)
work,info = ztzrzf_lwork(m,n)
delta,sigma,work,info = slasd4(i,d,z,rho=1.0)
delta,sigma,work,info = dlasd4(i,d,z,rho=1.0)
a,info = slauum(c,lower=0,overwrite_c=0)
a,info = dlauum(c,lower=0,overwrite_c=0)
a,info = clauum(c,lower=0,overwrite_c=0)
a,info = zlauum(c,lower=0,overwrite_c=0)
a = slaswp(a,piv,k1=0,k2=npiv-1,off=0,inc=1,overwrite_a=0)
a = dlaswp(a,piv,k1=0,k2=npiv-1,off=0,inc=1,overwrite_a=0)
a = claswp(a,piv,k1=0,k2=npiv-1,off=0,inc=1,overwrite_a=0)
a = zlaswp(a,piv,k1=0,k2=npiv-1,off=0,inc=1,overwrite_a=0)
x = dlamch(cmach)
x = slamch(cmach)
n2 = slange(norm,a)
n2 = dlange(norm,a)
n2 = clange(norm,a)
n2 = zlange(norm,a)
alpha,x,tau = slarfg(n,alpha,x,incx=1,overwrite_x=0)
alpha,x,tau = dlarfg(n,alpha,x,incx=1,overwrite_x=0)
alpha,x,tau = clarfg(n,alpha,x,incx=1,overwrite_x=0)
alpha,x,tau = zlarfg(n,alpha,x,incx=1,overwrite_x=0)
c = slarf(v,tau,c,work,side='L',incv=1,overwrite_c=0)
c = dlarf(v,tau,c,work,side='L',incv=1,overwrite_c=0)
c = clarf(v,tau,c,work,side='L',incv=1,overwrite_c=0)
c = zlarf(v,tau,c,work,side='L',incv=1,overwrite_c=0)
cs,sn,r = slartg(f,g)
cs,sn,r = dlartg(f,g)
cs,sn,r = clartg(f,g)
cs,sn,r = zlartg(f,g)
x,y = crot(x,y,c,s,n=(lx-1-offx)/abs(incx)+1,offx=0,incx=1,offy=0,incy=1,overwrite_x=0,overwrite_y=0)
x,y = zrot(x,y,c,s,n=(lx-1-offx)/abs(incx)+1,offx=0,incx=1,offy=0,incy=1,overwrite_x=0,overwrite_y=0)
major,minor,patch = ilaver()
.__doc____f2py_numpy_version___flapack.error__flapack_errorascalepermuteoverwrite_alohilworknboverwrite_bfacttransafipivequedrcanormnormlupivrhsjpivoverwrite_rhsoverwrite_lucompute_uvfull_matricesmnrhscondjptvsize_iworksize_rworkcompute_vlcompute_vrcompute_vsort_tjobvsljobvsrldvslldvsrklkuaboverwrite_abldabldbdlduoverwrite_dloverwrite_doverwrite_dudu2dlfdfduflowerliworklrworkitypefactoredwayrangevlvuiliuabstoljobzuplotolscleanoverwrite_ceoverwrite_ezcompute_zoverwrite_zefjobajobujobvjobrjobtjobpqifstilstwantqoverwrite_qwantzselecttjoboverwrite_tijoboverwrite_funitdiagldadiagx11x12x21x22compute_u1compute_u2compute_v1tcompute_v2tsignsoverwrite_x11overwrite_x12overwrite_x21overwrite_x22ptausidenbvltranatranbisgnmmaxapoverwrite_aporderwiblockisplitkalphabetatransrarfirhok1k2offinccmachxincxoverwrite_xworkincvgyoffxoffyincyoverwrite_y_flapacksgebaldgebalcgebalzgebalsgehrddgehrdcgehrdzgehrdsgehrd_lworkdgehrd_lworkcgehrd_lworkzgehrd_lworksgesvdgesvcgesvzgesvsgesvxdgesvxcgesvxzgesvxsgecondgeconcgeconzgeconsgetrfdgetrfcgetrfzgetrfsgetrsdgetrscgetrszgetrssgetc2dgetc2cgetc2zgetc2sgesc2dgesc2cgesc2zgesc2sgetridgetricgetrizgetrisgetri_lworkdgetri_lworkcgetri_lworkzgetri_lworksgesdddgesddsgesdd_lworkdgesdd_lworkcgesddzgesddcgesdd_lworkzgesdd_lworksgesvddgesvdsgesvd_lworkdgesvd_lworkcgesvdzgesvdcgesvd_lworkzgesvd_lworksgelsdgelscgelszgelssgels_lworkdgels_lworkcgels_lworkzgels_lworksgelssdgelsssgelss_lworkdgelss_lworkcgelsszgelsscgelss_lworkzgelss_lworksgelsydgelsysgelsy_lworkdgelsy_lworkcgelsyzgelsycgelsy_lworkzgelsy_lworksgelsddgelsdsgelsd_lworkdgelsd_lworkcgelsdzgelsdcgelsd_lworkzgelsd_lworksgeqp3dgeqp3cgeqp3zgeqp3sgeqrfdgeqrfcgeqrfzgeqrfsgeqrf_lworkdgeqrf_lworkcgeqrf_lworkzgeqrf_lworksgeqrfpdgeqrfpcgeqrfpzgeqrfpsgeqrfp_lworkdgeqrfp_lworkcgeqrfp_lworkzgeqrfp_lworksgerqfdgerqfcgerqfzgerqfsgeevdgeevsgeev_lworkdgeev_lworkcgeevzgeevcgeev_lworkzgeev_lworkcgeeszgeessgeesdgeessggesdggescggeszggessggevdggevcggevzggevsgeequdgeequcgeequzgeequsgeequbdgeequbcgeequbzgeequbsgbsvdgbsvcgbsvzgbsvsgbtrfdgbtrfcgbtrfzgbtrfsgbtrsdgbtrscgbtrszgbtrssgtsvdgtsvcgtsvzgtsvsgttrfdgttrfcgttrfzgttrfsgttrsdgttrscgttrszgttrssgtsvxdgtsvxcgtsvxzgtsvxssyevdsyevssyev_lworkdsyev_lworkcheevzheevcheev_lworkzheev_lworkssyevddsyevdssyevd_lworkdsyevd_lworkcheevdzheevdcheevd_lworkzheevd_lworkssytf2dsytf2csytf2zsytf2ssygstdsygstssytrfdsytrfcsytrfzsytrfssytrf_lworkdsytrf_lworkcsytrf_lworkzsytrf_lworkssysvdsysvcsysvzsysvssysv_lworkdsysv_lworkcsysv_lworkzsysv_lworkssysvxdsysvxcsysvxzsysvxssysvx_lworkdsysvx_lworkcsysvx_lworkzsysvx_lworkssycondsyconcsyconzsyconcheconzheconssyconvdsyconvcsyconvzsyconvchegstzhegstchetrfzhetrfchetrf_lworkzhetrf_lworkchesvzhesvchesv_lworkzhesv_lworkchesvxzhesvxchesvx_lworkzhesvx_lworkssytrddsytrdssytrd_lworkdsytrd_lworkchetrdzhetrdchetrd_lworkzhetrd_lworkssyevrdsyevrssyevr_lworkdsyevr_lworkcheevrzheevrcheevr_lworkzheevr_lworkssyevxdsyevxssyevx_lworkdsyevx_lworkcheevxzheevxcheevx_lworkzheevx_lworkssygvdsygvssygv_lworkdsygv_lworkchegvzhegvchegv_lworkzhegv_lworkssygvddsygvdchegvdzhegvdssygvxdsygvxssygvx_lworkdsygvx_lworkchegvxzhegvxchegvx_lworkzhegvx_lworkssyequbdsyequbcsyequbzsyequbcheequbzheequbspstrfdpstrfcpstrfzpstrfspstf2dpstf2cpstf2zpstf2sposvdposvcposvzposvsposvxdposvxcposvxzposvxspocondpoconcpoconzpoconspotrfdpotrfcpotrfzpotrfspotrsdpotrscpotrszpotrsspotridpotricpotrizpotrisptsvdptsvcptsvzptsvspttrfdpttrfcpttrfzpttrfspttrsdpttrscpttrszpttrsspteqrdpteqrcpteqrzpteqrsptsvxdptsvxcptsvxzptsvxsgejsvdgejsvstrexcdtrexcctrexcztrexcstgexcdtgexcctgexcztgexcstrsendtrsenstrsen_lworkd
array(%lld,%lldf2py:fortranobject.c:get_elsize%d-th dimension must be fixed to %lld but got %lld
%d-th dimension must be %lld but got 0 (not defined).
unexpected array size: new_size=%lld, got array with arr_size=%lld (maybe too many free indices)
-- %d-th dimension must be fixed to %lld but got %lldunexpected array size: new_size=%lld, got array with arr_size=%lld
too many axes: %d (effrank=%d), expected rank=%d
-- %d-th dimension must be fixed to %lld but got %lld (real index=%d)
%lld ], arr.dims=[ ]
unexpected array size: size=%lld, arr_size=%lld, rank=%d, effrank=%d, arr.nd=%d, dims=[no function to callthis fortran object is not callable__dict____doc__%s - no docs available%s : '%c'-fortranobject.c: fortran_doc: len(p)=%zd>%zd=size: too long docstring required, increase size
_cpointer__name__<fortran %U><fortran object>Error loading %s
F2PySwapThreadLocalCallbackPtr: PyThreadState_GetDict failedF2PySwapThreadLocalCallbackPtr: PyLong_AsVoidPtr failedF2PySwapThreadLocalCallbackPtr: PyLong_FromVoidPtr failedF2PySwapThreadLocalCallbackPtr: PyDict_SetItemString failedF2PyGetThreadLocalCallbackPtr: PyThreadState_GetDict failedF2PyGetThreadLocalCallbackPtr: PyLong_AsVoidPtr failedfunction %sscalar %sarray %s -- failed to determine element size from %s%lld, -- expected elsize=%d got %lld -- expected at least elsize=%d but got %lld -- expected elsize=%d but got %lld -- input '%c' not compatible to '%c' -- input not %d-alignedfailed to initialize intent(inout|inplace|cache) array, input '%s' object is not an arrayover-writing fortran routinedelete non-existing fortran attribute%d-%s%c%lld-%s-scalar)-%c%lld-%s%s instancef2py_size: 2nd argument value=%lld fails to satisfy 1<=value<=%lld. Result will be 0.
F2PyGetThreadLocalCallbackPtrF2PySwapThreadLocalCallbackPtrfortranÐK—o§o§oÌ€¦o0§oMingw-w64 runtime failure:
Address %p has no image-section VirtualQuery failed for %d bytes at address %p VirtualProtect failed with code 0x%x Unknown pseudo relocation protocol version %d.
Unknown pseudo relocation bit size %d.
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€à7yÃACnµµ¸“Fõù?éO8M20ùHwZ<¿sÝOu%p not found?!?!
once %p is %d
T%p %d %s
T%p %d V=%0X H=%p %s
../mingw-w64/mingw-w64-libraries/winpthreads/src/rwlock.c(((rwlock_t *)*rwl)->valid == LIFE_RWLOCK) && (((rwlock_t *)*rwl)->busy > 0)Assertion failed: (%s), file %s, line %d
RWL%p %d %s
RWL%p %d V=%0X B=%d r=%ld w=%ld L=%p %s
C%p %d %s
C%p %d V=%0X w=%ld %s
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