Provided by: libpdl-linearalgebra-perl_0.12-2build2_amd64
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
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.