SYNOPSIS
use PDL::Complex
use PDL::LinearAlgebra::Complex;
$a = r2C random (100,100);
$s = r2C zeroes(100);
$u = r2C zeroes(100,100);
$v = r2C zeroes(100,100);
$info = 0;
$job = 0;
cgesdd($a, $job, $info, $s , $u, $v);
DESCRIPTION
This module provides an interface to parts of the lapack library (complex numbers). These routines accept either float or double piddles.FUNCTIONS
cgesvd
Signature: ([io,phys]A(2,m,n); int jobu(); int jobvt(); [o,phys]s(r); [o,phys]U(2,p,q); [o,phys]VT(2,s,t); int [o,phys]info())
Complex version of gesvd.
The SVD is written
A = U * SIGMA * ConjugateTranspose(V)
cgesvd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgesdd
Signature: ([io,phys]A(2,m,n); int job(); [o,phys]s(r); [o,phys]U(2,p,q); [o,phys]VT(2,s,t); int [o,phys]info())
Complex version of gesdd.
The SVD is written
A = U * SIGMA * ConjugateTranspose(V)
cgesdd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cggsvd
Signature: ([io,phys]A(2,m,n); int jobu(); int jobv(); int jobq(); [io,phys]B(2,p,n); int [o,phys]k(); int [o,phys]l();[o,phys]alpha(n);[o,phys]beta(n); [o,phys]U(2,q,r); [o,phys]V(2,s,t); [o,phys]Q(2,u,v); int [o,phys]iwork(n); int [o,phys]info())
Complex version of ggsvd
cggsvd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgeev
Signature: ([phys]A(2,n,n); int jobvl(); int jobvr(); [o,phys]w(2,n); [o,phys]vl(2,m,m); [o,phys]vr(2,p,p); int [o,phys]info())
Complex version of geev
cgeev ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgeevx
Signature: ([io,phys]A(2,n,n); int jobvl(); int jobvr(); int balance(); int sense(); [o,phys]w(2,n); [o,phys]vl(2,m,m); [o,phys]vr(2,p,p); int [o,phys]ilo(); int [o,phys]ihi(); [o,phys]scale(n); [o,phys]abnrm(); [o,phys]rconde(q); [o,phys]rcondv(r); int [o,phys]info())
Complex version of geevx
cgeevx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cggev
Signature: ([phys]A(2,n,n); int jobvl();int jobvr();[phys]B(2,n,n);[o,phys]alpha(2,n);[o,phys]beta(2,n);[o,phys]VL(2,m,m);[o,phys]VR(2,p,p);int [o,phys]info())
Complex version of ggev
cggev ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cggevx
Signature: ([io,phys]A(2,n,n);int balanc();int jobvl();int jobvr();int sense();[io,phys]B(2,n,n);[o,phys]alpha(2,n);[o,phys]beta(2,n);[o,phys]VL(2,m,m);[o,phys]VR(2,p,p);int [o,phys]ilo();int [o,phys]ihi();[o,phys]lscale(n);[o,phys]rscale(n);[o,phys]abnrm();[o,phys]bbnrm();[o,phys]rconde(r);[o,phys]rcondv(s);int [o,phys]info())
Complex version of ggevx
cggevx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgees
Signature: ([io,phys]A(2,n,n); int jobvs(); int sort(); [o,phys]w(2,n); [o,phys]vs(2,p,p); int [o,phys]sdim(); int [o,phys]info(); SV* select_func)
Complex version of gees
select_func:
If sort = 1, select_func is used to select eigenvalues to sort
to the top left of the Schur form.
If sort = 0, select_func is not referenced.
An complex eigenvalue w is selected if
select_func(PDL::Complex(w)) is true;
Note that a selected complex eigenvalue may no longer
satisfy select_func(PDL::Complex(w)) = 1 after ordering, since
ordering may change the value of complex eigenvalues
(especially if the eigenvalue is ill-conditioned); in this
case info is set to N+2.
cgees ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgeesx
Signature: ([io,phys]A(2,n,n); int jobvs(); int sort(); int sense(); [o,phys]w(2,n);[o,phys]vs(2,p,p); int [o,phys]sdim(); [o,phys]rconde();[o,phys]rcondv(); int [o,phys]info(); SV* select_func)
Complex version of geesx
select_func:
If sort = 1, select_func is used to select eigenvalues to sort
to the top left of the Schur form.
If sort = 0, select_func is not referenced.
An complex eigenvalue w is selected if
select_func(PDL::Complex(w)) is true;
Note that a selected complex eigenvalue may no longer
satisfy select_func(PDL::Complex(w)) = 1 after ordering, since
ordering may change the value of complex eigenvalues
(especially if the eigenvalue is ill-conditioned); in this
case info is set to N+2.
cgeesx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgges
Signature: ([io,phys]A(2,n,n); int jobvsl();int jobvsr();int sort();[io,phys]B(2,n,n);[o,phys]alpha(2,n);[o,phys]beta(2,n);[o,phys]VSL(2,m,m);[o,phys]VSR(2,p,p);int [o,phys]sdim();int [o,phys]info(); SV* select_func)
Complex version of ggees
select_func:
If sort = 1, select_func is used to select eigenvalues to sort
to the top left of the Schur form.
If sort = 0, select_func is not referenced.
An eigenvalue w = w/beta is selected if
select_func(PDL::Complex(w), PDL::Complex(beta)) is true;
Note that a selected complex eigenvalue may no longer
satisfy select_func(PDL::Complex(w),PDL::Complex(beta)) = 1 after ordering, since
ordering may change the value of complex eigenvalues
(especially if the eigenvalue is ill-conditioned); in this
case info is set to N+2.
cgges ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cggesx
Signature: ([io,phys]A(2,n,n); int jobvsl();int jobvsr();int sort();int sense();[io,phys]B(2,n,n);[o,phys]alpha(2,n);[o,phys]beta(2,n);[o,phys]VSL(2,m,m);[o,phys]VSR(2,p,p);int [o,phys]sdim();[o,phys]rconde(q);[o,phys]rcondv(r);int [o,phys]info(); SV* select_func)
Complex version of ggeesx
select_func:
If sort = 1, select_func is used to select eigenvalues to sort
to the top left of the Schur form.
If sort = 0, select_func is not referenced.
An eigenvalue w = w/beta is selected if
select_func(PDL::Complex(w), PDL::Complex(beta)) is true;
Note that a selected complex eigenvalue may no longer
satisfy select_func(PDL::Complex(w),PDL::Complex(beta)) = 1 after ordering, since
ordering may change the value of complex eigenvalues
(especially if the eigenvalue is ill-conditioned); in this
case info is set to N+3.
cggesx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cheev
Signature: ([io,phys]A(2,n,n); int jobz(); int uplo(); [o,phys]w(n); int [o,phys]info())
Complex version of syev for Hermitian matrix
cheev ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cheevd
Signature: ([io,phys]A(2,n,n); int jobz(); int uplo(); [o,phys]w(n); int [o,phys]info())
Complex version of syevd for Hermitian matrix
cheevd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cheevx
Signature: ([phys]A(2,n,n); int jobz(); int range(); int uplo(); [phys]vl(); [phys]vu(); int [phys]il(); int [phys]iu(); [phys]abstol(); int [o,phys]m(); [o,phys]w(n); [o,phys]z(2,p,q);int [o,phys]ifail(r); int [o,phys]info())
Complex version of syevx for Hermitian matrix
cheevx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cheevr
Signature: ([phys]A(2,n,n); int jobz(); int range(); int uplo(); [phys]vl(); [phys]vu(); int [phys]il(); int [phys]iu(); [phys]abstol(); int [o,phys]m(); [o,phys]w(n); [o,phys]z(2,p,q);int [o,phys]isuppz(r); int [o,phys]info())
Complex version of syevr for Hermitian matrix
cheevr ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chegv
Signature: ([io,phys]A(2,n,n);int [phys]itype();int jobz(); int uplo();[io,phys]B(2,n,n);[o,phys]w(n); int [o,phys]info())
Complex version of sygv for Hermitian matrix
chegv ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chegvd
Signature: ([io,phys]A(2,n,n);int [phys]itype();int jobz(); int uplo();[io,phys]B(2,n,n);[o,phys]w(n); int [o,phys]info())
Complex version of sygvd for Hermitian matrix
chegvd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chegvx
Signature: ([io,phys]A(2,n,n);int [phys]itype();int jobz();int range(); int uplo();[io,phys]B(2,n,n);[phys]vl();[phys]vu();int [phys]il();int [phys]iu();[phys]abstol();int [o,phys]m();[o,phys]w(n); [o,phys]Z(2,p,q);int [o,phys]ifail(r);int [o,phys]info())
Complex version of sygvx for Hermitian matrix
chegvx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgesv
Signature: ([io,phys]A(2,n,n); [io,phys]B(2,n,m); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of gesv
cgesv ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgesvx
Signature: ([io,phys]A(2,n,n); int trans(); int fact(); [io,phys]B(2,n,m); [io,phys]af(2,n,n); int [io,phys]ipiv(n); int [io]equed(); [io,phys]r(n); [io,phys]c(n); [o,phys]X(2,n,m); [o,phys]rcond(); [o,phys]ferr(m); [o,phys]berr(m); [o,phys]rpvgrw(); int [o,phys]info())
Complex version of gesvx.
trans: Specifies the form of the system of equations:
= 0: A * X = B (No transpose)
= 1: A' * X = B (Transpose)
= 2: A**H * X = B (Conjugate transpose)
cgesvx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csysv
Signature: ([io,phys]A(2,n,n); int uplo(); [io,phys]B(2,n,m); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of sysv
csysv ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csysvx
Signature: ([phys]A(2,n,n); int uplo(); int fact(); [phys]B(2,n,m); [io,phys]af(2,n,n); int [io,phys]ipiv(n); [o,phys]X(2,n,m); [o,phys]rcond(); [o,phys]ferr(m); [o,phys]berr(m); int [o,phys]info())
Complex version of sysvx
csysvx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chesv
Signature: ([io,phys]A(2,n,n); int uplo(); [io,phys]B(2,n,m); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of sysv for Hermitian matrix
chesv ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chesvx
Signature: ([phys]A(2,n,n); int uplo(); int fact(); [phys]B(2,n,m); [io,phys]af(2,n,n); int [io,phys]ipiv(n); [o,phys]X(2,n,m); [o,phys]rcond(); [o,phys]ferr(m); [o,phys]berr(m); int [o,phys]info())
Complex version of sysvx for Hermitian matrix
chesvx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cposv
Signature: ([io,phys]A(2,n,n); int uplo(); [io,phys]B(2,n,m); int [o,phys]info())
Complex version of posv for Hermitian positive definite matrix
cposv ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cposvx
Signature: ([io,phys]A(2,n,n); int uplo(); int fact(); [io,phys]B(2,n,m); [io,phys]af(2,n,n); int [io]equed(); [io,phys]s(n); [o,phys]X(2,n,m); [o,phys]rcond(); [o,phys]ferr(m); [o,phys]berr(m); int [o,phys]info())
Complex version of posvx for Hermitian positive definite matrix
cposvx ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgels
Signature: ([io,phys]A(2,m,n); int trans(); [io,phys]B(2,p,q);int [o,phys]info())
Solves overdetermined or underdetermined complex linear systems involving an M-by-N matrix A, or its conjugate-transpose. Complex version of gels.
trans: = 0: the linear system involves A;
= 1: the linear system involves A**H.
cgels ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgelsy
Signature: ([io,phys]A(2,m,n); [io,phys]B(2,p,q); [phys]rcond(); int [io,phys]jpvt(n); int [o,phys]rank();int [o,phys]info())
Complex version of gelsy
cgelsy ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgelss
Signature: ([io,phys]A(2,m,n); [io,phys]B(2,p,q); [phys]rcond(); [o,phys]s(r); int [o,phys]rank();int [o,phys]info())
Complex version of gelss
cgelss ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgelsd
Signature: ([io,phys]A(2,m,n); [io,phys]B(2,p,q); [phys]rcond(); [o,phys]s(r); int [o,phys]rank();int [o,phys]info())
Complex version of gelsd
cgelsd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgglse
Signature: ([phys]A(2,m,n); [phys]B(2,p,n);[io,phys]c(2,m);[phys]d(2,p);[o,phys]x(2,n);int [o,phys]info())
Complex version of gglse
cgglse ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cggglm
Signature: ([phys]A(2,n,m); [phys]B(2,n,p);[phys]d(2,n);[o,phys]x(2,m);[o,phys]y(2,p);int [o,phys]info())
Complex version of ggglm
cggglm ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgetrf
Signature: ([io,phys]A(2,m,n); int [o,phys]ipiv(p); int [o,phys]info())
Complex version of getrf
cgetrf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgetf2
Signature: ([io,phys]A(2,m,n); int [o,phys]ipiv(p); int [o,phys]info())
Complex version of getf2
cgetf2 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csytrf
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of sytrf
csytrf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csytf2
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of sytf2
csytf2 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cchetrf
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of sytrf for Hermitian matrix
cchetrf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chetf2
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]ipiv(n); int [o,phys]info())
Complex version of sytf2 for Hermitian matrix
chetf2 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cpotrf
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]info())
Complex version of potrf for Hermitian positive definite matrix
cpotrf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cpotf2
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]info())
Complex version of potf2 for Hermitian positive definite matrix
cpotf2 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgetri
Signature: ([io,phys]A(2,n,n); int [phys]ipiv(n); int [o,phys]info())
Complex version of getri
cgetri ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csytri
Signature: ([io,phys]A(2,n,n); int uplo(); int [phys]ipiv(n); int [o,phys]info())
Complex version of sytri
csytri ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chetri
Signature: ([io,phys]A(2,n,n); int uplo(); int [phys]ipiv(n); int [o,phys]info())
Complex version of sytri for Hermitian matrix
chetri ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cpotri
Signature: ([io,phys]A(2,n,n); int uplo(); int [o,phys]info())
Complex version of potri
cpotri ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctrtri
Signature: ([io,phys]A(2,n,n); int uplo(); int diag(); int [o,phys]info())
Complex version of trtri
ctrtri ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctrti2
Signature: ([io,phys]A(2,n,n); int uplo(); int diag(); int [o,phys]info())
Complex version of trti2
ctrti2 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgetrs
Signature: ([phys]A(2,n,n); int trans(); [io,phys]B(2,n,m); int [phys]ipiv(n); int [o,phys]info())
Complex version of getrs
Arguments
=========
trans: = 0: No transpose;
= 1: Transpose;
= 2: Conjugate transpose;
cgetrs ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csytrs
Signature: ([phys]A(2,n,n); int uplo();[io,phys]B(2,n,m); int [phys]ipiv(n); int [o,phys]info())
Complex version of sytrs
csytrs ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chetrs
Signature: ([phys]A(2,n,n); int uplo();[io,phys]B(2,n,m); int [phys]ipiv(n); int [o,phys]info())
Complex version of sytrs for Hermitian matrix
chetrs ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cpotrs
Signature: ([phys]A(2,n,n); int uplo(); [io,phys]B(2,n,m); int [o,phys]info())
Complex version of potrs for Hermitian positive definite matrix
cpotrs ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctrtrs
Signature: ([phys]A(2,n,n); int uplo(); int trans(); int diag();[io,phys]B(2,n,m); int [o,phys]info())
Complex version of trtrs
Arguments
=========
trans: = 0: No transpose;
= 1: Transpose;
= 2: Conjugate transpose;
ctrtrs ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
clatrs
Signature: ([phys]A(2,n,n); int uplo(); int trans(); int diag(); int normin();[io,phys]x(2,n); [o,phys]scale();[io,phys]cnorm(n);int [o,phys]info())
Complex version of latrs
Arguments
=========
trans: = 0: No transpose;
= 1: Transpose;
= 2: Conjugate transpose;
clatrs ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgecon
Signature: ([phys]A(2,n,n); int norm(); [phys]anorm(); [o,phys]rcond();int [o,phys]info())
Complex version of gecon
cgecon ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csycon
Signature: ([phys]A(2,n,n); int uplo(); int ipiv(n); [phys]anorm(); [o,phys]rcond();int [o,phys]info())
Complex version of sycon
csycon ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
checon
Signature: ([phys]A(2,n,n); int uplo(); int ipiv(n); [phys]anorm(); [o,phys]rcond();int [o,phys]info())
Complex version of sycon for Hermitian matrix
checon ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cpocon
Signature: ([phys]A(2,n,n); int uplo(); [phys]anorm(); [o,phys]rcond();int [o,phys]info())
Complex version of pocon for Hermitian positive definite matrix
cpocon ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctrcon
Signature: ([phys]A(2,n,n); int norm();int uplo();int diag(); [o,phys]rcond();int [o,phys]info())
Complex version of trcon
ctrcon ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgeqp3
Signature: ([io,phys]A(2,m,n); int [io,phys]jpvt(n); [o,phys]tau(2,k); int [o,phys]info())
Complex version of geqp3
cgeqp3 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgeqrf
Signature: ([io,phys]A(2,m,n); [o,phys]tau(2,k); int [o,phys]info())
Complex version of geqrf
cgeqrf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cungqr
Signature: ([io,phys]A(2,m,n); [phys]tau(2,k); int [o,phys]info())
Complex version of orgqr
cungqr ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunmqr
Signature: ([phys]A(2,p,k); int side(); int trans(); [phys]tau(2,k); [io,phys]C(2,m,n);int [o,phys]info())
Complex version of ormqr. Here trans = 1 means conjugate transpose.
cunmqr ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgelqf
Signature: ([io,phys]A(2,m,n); [o,phys]tau(2,k); int [o,phys]info())
Complex version of gelqf
cgelqf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunglq
Signature: ([io,phys]A(2,m,n); [phys]tau(2,k); int [o,phys]info())
Complex version of orglq
cunglq ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunmlq
Signature: ([phys]A(2,k,p); int side(); int trans(); [phys]tau(2,k); [io,phys]C(2,m,n);int [o,phys]info())
Complex version of ormlq. Here trans = 1 means conjugate transpose.
cunmlq ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgeqlf
Signature: ([io,phys]A(2,m,n); [o,phys]tau(2,k); int [o,phys]info())
Complex version of geqlf
cgeqlf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cungql
Signature: ([io,phys]A(2,m,n); [phys]tau(2,k); int [o,phys]info())
Complex version of orgql.
cungql ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunmql
Signature: ([phys]A(2,p,k); int side(); int trans(); [phys]tau(2,k); [io,phys]C(2,m,n);int [o,phys]info())
Complex version of ormql. Here trans = 1 means conjugate transpose.
cunmql ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgerqf
Signature: ([io,phys]A(2,m,n); [o,phys]tau(2,k); int [o,phys]info())
Complex version of gerqf
cgerqf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cungrq
Signature: ([io,phys]A(2,m,n); [phys]tau(2,k); int [o,phys]info())
Complex version of orgrq.
cungrq ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunmrq
Signature: ([phys]A(2,k,p); int side(); int trans(); [phys]tau(2,k); [io,phys]C(2,m,n);int [o,phys]info())
Complex version of ormrq. Here trans = 1 means conjugate transpose.
cunmrq ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctzrzf
Signature: ([io,phys]A(2,m,n); [o,phys]tau(2,k); int [o,phys]info())
Complex version of tzrzf
ctzrzf ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunmrz
Signature: ([phys]A(2,k,p); int side(); int trans(); [phys]tau(2,k); [io,phys]C(2,m,n);int [o,phys]info())
Complex version of ormrz. Here trans = 1 means conjugate transpose.
cunmrz ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgehrd
Signature: ([io,phys]A(2,n,n); int [phys]ilo();int [phys]ihi();[o,phys]tau(2,k); int [o,phys]info())
Complex version of gehrd
cgehrd ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cunghr
Signature: ([io,phys]A(2,n,n); int [phys]ilo();int [phys]ihi();[phys]tau(2,k); int [o,phys]info())
Complex version of orghr
cunghr ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
chseqr
Signature: ([io,phys]H(2,n,n); int job();int compz();int [phys]ilo();int [phys]ihi();[o,phys]w(2,n); [o,phys]Z(2,m,m); int [o,phys]info())
Complex version of hseqr
chseqr ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctrevc
Signature: ([io,phys]T(2,n,n); int side();int howmny();int [phys]select(q);[io,phys]VL(2,m,r); [io,phys]VR(2,p,s);int [o,phys]m(); int [o,phys]info())
Complex version of trevc
ctrevc ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctgevc
Signature: ([io,phys]A(2,n,n); int side();int howmny(); [io,phys]B(2,n,n);int [phys]select(q);[io,phys]VL(2,m,r); [io,phys]VR(2,p,s);int [o,phys]m(); int [o,phys]info())
Complex version of tgevc
ctgevc ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgebal
Signature: ([io,phys]A(2,n,n); int job(); int [o,phys]ilo();int [o,phys]ihi();[o,phys]scale(n); int [o,phys]info())
Complex version of gebal
cgebal ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
clange
Signature: ([phys]A(2,n,m); int norm(); [o]b())
Complex version of lange
clange ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
clansy
Signature: ([phys]A(2, n,n); int uplo(); int norm(); [o]b())
Complex version of lansy
clansy ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
clantr
Signature: ([phys]A(2,m,n);int uplo();int norm();int diag();[o]b())
Complex version of lantr
clantr ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cgemm
Signature: ([phys]A(2,m,n); int transa(); int transb(); [phys]B(2,p,q);[phys]alpha(2); [phys]beta(2); [io,phys]C(2,r,s))
Complex version of gemm.
Arguments
=========
transa: = 0: No transpose;
= 1: Transpose;
= 2: Conjugate transpose;
transb: = 0: No transpose;
= 1: Transpose;
= 2: Conjugate transpose;
cgemm ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cmmult
Signature: ([phys]A(2,m,n); [phys]B(2,p,m); [o,phys]C(2,p,n))
Complex version of mmult
cmmult ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ccrossprod
Signature: ([phys]A(2,n,m); [phys]B(2,p,m); [o,phys]C(2,p,n))
Complex version of crossprod
ccrossprod ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
csyrk
Signature: ([phys]A(2,m,n); int uplo(); int trans(); [phys]alpha(2); [phys]beta(2); [io,phys]C(2,p,p))
Complex version of syrk
csyrk ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cdot
Signature: ([phys]a(2,n);int [phys]inca();[phys]b(2,n);int [phys]incb();[o,phys]c(2))
Complex version of dot
cdot ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cdotc
Signature: ([phys]a(2,n);int [phys]inca();[phys]b(2,n);int [phys]incb();[o,phys]c(2))
Forms the dot product of two vectors, conjugating the first vector.
cdotc ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
caxpy
Signature: ([phys]a(2,n);int [phys]inca();[phys] alpha(2);[io,phys]b(2,n);int [phys]incb())
Complex version of axpy
caxpy ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cnrm2
Signature: ([phys]a(2,n);int [phys]inca();[o,phys]b())
Complex version of nrm2
cnrm2 ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
casum
Signature: ([phys]a(2,n);int [phys]inca();[o,phys]b())
Complex version of asum
casum ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cscal
Signature: ([io,phys]a(2,n);int [phys]inca();[phys]scale(2))
Complex version of scal
cscal ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
sscal
Signature: ([io,phys]a(2,n);int [phys]inca();[phys]scale())
Scales a complex vector by a real constant.
sscal ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
crotg
Signature: ([io,phys]a(2);[phys]b(2);[o,phys]c(); [o,phys]s(2))
Complex version of rotg
crotg ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
clacpy
Signature: ([phys]A(2,m,n); int uplo(); [o,phys]B(2,p,n))
Complex version of lacpy
clacpy ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
claswp
Signature: ([io,phys]A(2,m,n); int [phys]k1(); int [phys]k2(); int [phys]ipiv(p);int [phys]inc())
Complex version of laswp
claswp ignores the bad-value flag of the input piddles. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ctricpy
Signature: (A(c=2,m,n);int uplo();[o] C(c=2,m,n))
Copy triangular part to another matrix. If uplo == 0 copy upper triangular part.
ctricpy does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cmstack
Signature: (x(c,n,m);y(c,n,p);[o]out(c,n,q))
Combine two 3D piddles into a single piddle. This routine does backward and forward dataflow automatically.
cmstack does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ccharpol
Signature: ([phys]A(c=2,n,n);[phys,o]Y(c=2,n,n);[phys,o]out(c=2,p))
Complex version of charpol
ccharpol does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
AUTHOR
Copyright (C) Grégory Vanuxem 2005-2007.This library is free software; you can redistribute it and/or modify it under the terms of the artistic license as specified in the Artistic file.