la_lapack::gesvdq Interface Reference

GESVDQ: computes the singular value decomposition (SVD) of a complex M-by-N matrix A, where M >= N. The SVD of A is written as [++] [xx] [x0] [xx] A = U * SIGMA * V^*, [++] = [xx] * [ox] * [xx] [++] [xx] where SIGMA is an N-by-N diagonal matrix, U is an M-by-N orthonormal matrix, and V is an N-by-N unitary matrix. The diagonal elements of SIGMA are the singular values of A. The columns of U and V are the left and the right singular vectors of A, respectively. More...

Public Member Functions
subroutine	cgesvdq (joba, jobp, jobr, jobu, jobv, m, n, a, lda, s, u, ldu, v, ldv, numrank, iwork, liwork, cwork, lcwork, rwork, lrwork, info)
	la_cgesvdq
subroutine	dgesvdq (joba, jobp, jobr, jobu, jobv, m, n, a, lda, s, u, ldu, v, ldv, numrank, iwork, liwork, work, lwork, rwork, lrwork, info)
	la_dgesvdq
	la_qgesvdq
subroutine	sgesvdq (joba, jobp, jobr, jobu, jobv, m, n, a, lda, s, u, ldu, v, ldv, numrank, iwork, liwork, work, lwork, rwork, lrwork, info)
	la_sgesvdq
	la_wgesvdq
subroutine	zgesvdq (joba, jobp, jobr, jobu, jobv, m, n, a, lda, s, u, ldu, v, ldv, numrank, iwork, liwork, cwork, lcwork, rwork, lrwork, info)
	la_zgesvdq

Detailed Description

GESVDQ: computes the singular value decomposition (SVD) of a complex M-by-N matrix A, where M >= N. The SVD of A is written as [++] [xx] [x0] [xx] A = U * SIGMA * V^*, [++] = [xx] * [ox] * [xx] [++] [xx] where SIGMA is an N-by-N diagonal matrix, U is an M-by-N orthonormal matrix, and V is an N-by-N unitary matrix. The diagonal elements of SIGMA are the singular values of A. The columns of U and V are the left and the right singular vectors of A, respectively.

Member Function/Subroutine Documentation

cgesvdq()

subroutine la_lapack::gesvdq::cgesvdq	(	character, intent(in)	joba,
		character, intent(in)	jobp,
		character, intent(in)	jobr,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	s,
		complex(sp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		complex(sp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		integer(ilp), intent(out)	numrank,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		complex(sp), dimension(*), intent(out)	cwork,
		integer(ilp), intent(inout)	lcwork,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), intent(out)	info
	)

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dgesvdq()

subroutine la_lapack::gesvdq::dgesvdq	(	character, intent(in)	joba,
		character, intent(in)	jobp,
		character, intent(in)	jobr,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	s,
		real(dp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		real(dp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		integer(ilp), intent(out)	numrank,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(inout)	lwork,
		real(dp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), intent(out)	info
	)

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la_cgesvdq()

la_lapack::gesvdq::la_cgesvdq

la_dgesvdq()

la_lapack::gesvdq::la_dgesvdq

la_qgesvdq()

la_lapack::gesvdq::la_qgesvdq

la_sgesvdq()

la_lapack::gesvdq::la_sgesvdq

la_wgesvdq()

la_lapack::gesvdq::la_wgesvdq

la_zgesvdq()

la_lapack::gesvdq::la_zgesvdq

sgesvdq()

subroutine la_lapack::gesvdq::sgesvdq	(	character, intent(in)	joba,
		character, intent(in)	jobp,
		character, intent(in)	jobr,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	s,
		real(sp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		real(sp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		integer(ilp), intent(out)	numrank,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(inout)	lwork,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), intent(out)	info
	)

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zgesvdq()

subroutine la_lapack::gesvdq::zgesvdq	(	character, intent(in)	joba,
		character, intent(in)	jobp,
		character, intent(in)	jobr,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	s,
		complex(dp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		complex(dp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		integer(ilp), intent(out)	numrank,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		complex(dp), dimension(*), intent(out)	cwork,
		integer(ilp), intent(inout)	lcwork,
		real(dp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), intent(out)	info
	)

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The documentation for this interface was generated from the following file:

• la_lapack.f90