NAME
PDL::LinearAlgebra::Complex - PDL interface to the lapack linear algebra programming library (complex number)
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
cgtsv
Signature: ([phys]DL(2,n); [phys]D(2,n); [phys]DU(2,n); [io,phys]B(2,n,nrhs); int [o,phys]info())Solves the equation
A * X = Bwhere A is an n by n tridiagonal matrix, by Gaussian elimination with partial pivoting, and B is an n by nrhs matrix.
Note that the equation A**T*X = B may be solved by interchanging the order of the arguments DU and DL.
NB This differs from the LINPACK function cgtsl in that DL starts from its first element, while the LINPACK equivalent starts from its second element.
Arguments
=========
DL: On entry, DL must contain the (n-1) sub-diagonal elements of A.
On exit, DL is overwritten by the (n-2) elements of the
second super-diagonal of the upper triangular matrix U from
the LU factorization of A, in DL(1), ..., DL(n-2).
D: On entry, D must contain the diagonal elements of A.
On exit, D is overwritten by the n diagonal elements of U.
DU: On entry, DU must contain the (n-1) super-diagonal elements of A.
On exit, DU is overwritten by the (n-1) elements of the
first super-diagonal of the U.
B: On entry, the n by nrhs matrix of right hand side matrix B.
On exit, if info = 0, the n by nrhs solution matrix X.
info: = 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
> 0: if info = i, U(i,i) is exactly zero, and the solution
has not been computed. The factorization has not been
completed unless i = n.use PDL::Complex;
$dl = random(float, 9) + random(float, 9) * i;
$d = random(float, 10) + random(float, 10) * i;
$du = random(float, 9) + random(float, 9) * i;
$b = random(10,5) + random(10,5) * i;
cgtsv($dl, $d, $du, $b, ($info=null));
print "X is:\n$b" unless $info;cgtsv 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.
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 2005-2018.
This library is free software; you can redistribute it and/or modify it under the terms of the Perl Artistic License as in the file Artistic_2 in this distribution.