la_lapack::gejsv Interface Reference

GEJSV: computes the singular value decomposition (SVD) of a complex M-by-N matrix [A], where M >= N. The SVD of [A] is written as [A] = [U] * [SIGMA] * [V]^*, where [SIGMA] is an N-by-N (M-by-N) matrix which is zero except for its N diagonal elements, [U] is an M-by-N (or M-by-M) unitary 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. The matrices [U] and [V] are computed and stored in the arrays U and V, respectively. The diagonal of [SIGMA] is computed and stored in the array SVA. More...

Public Member Functions
pure subroutine	cgejsv (joba, jobu, jobv, jobr, jobt, jobp, m, n, a, lda, sva, u, ldu, v, ldv, cwork, lwork, rwork, lrwork, iwork, info)
	la_cgejsv
pure subroutine	dgejsv (joba, jobu, jobv, jobr, jobt, jobp, m, n, a, lda, sva, u, ldu, v, ldv, work, lwork, iwork, info)
	la_dgejsv
	la_qgejsv
pure subroutine	sgejsv (joba, jobu, jobv, jobr, jobt, jobp, m, n, a, lda, sva, u, ldu, v, ldv, work, lwork, iwork, info)
	la_sgejsv
	la_wgejsv
pure subroutine	zgejsv (joba, jobu, jobv, jobr, jobt, jobp, m, n, a, lda, sva, u, ldu, v, ldv, cwork, lwork, rwork, lrwork, iwork, info)
	la_zgejsv

Detailed Description

GEJSV: computes the singular value decomposition (SVD) of a complex M-by-N matrix [A], where M >= N. The SVD of [A] is written as [A] = [U] * [SIGMA] * [V]^*, where [SIGMA] is an N-by-N (M-by-N) matrix which is zero except for its N diagonal elements, [U] is an M-by-N (or M-by-M) unitary 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. The matrices [U] and [V] are computed and stored in the arrays U and V, respectively. The diagonal of [SIGMA] is computed and stored in the array SVA.

Member Function/Subroutine Documentation

cgejsv()

pure subroutine la_lapack::gejsv::cgejsv	(	character, intent(in)	joba,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		character, intent(in)	jobr,
		character, intent(in)	jobt,
		character, intent(in)	jobp,
		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(n), intent(out)	sva,
		complex(sp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		complex(sp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		complex(sp), dimension(lwork), intent(out)	cwork,
		integer(ilp), intent(in)	lwork,
		real(sp), dimension(lrwork), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

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dgejsv()

pure subroutine la_lapack::gejsv::dgejsv	(	character, intent(in)	joba,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		character, intent(in)	jobr,
		character, intent(in)	jobt,
		character, intent(in)	jobp,
		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(n), intent(out)	sva,
		real(dp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		real(dp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		real(dp), dimension(lwork), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

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la_cgejsv()

la_lapack::gejsv::la_cgejsv

la_dgejsv()

la_lapack::gejsv::la_dgejsv

la_qgejsv()

la_lapack::gejsv::la_qgejsv

la_sgejsv()

la_lapack::gejsv::la_sgejsv

la_wgejsv()

la_lapack::gejsv::la_wgejsv

la_zgejsv()

la_lapack::gejsv::la_zgejsv

sgejsv()

pure subroutine la_lapack::gejsv::sgejsv	(	character, intent(in)	joba,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		character, intent(in)	jobr,
		character, intent(in)	jobt,
		character, intent(in)	jobp,
		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(n), intent(out)	sva,
		real(sp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		real(sp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		real(sp), dimension(lwork), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

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zgejsv()

pure subroutine la_lapack::gejsv::zgejsv	(	character, intent(in)	joba,
		character, intent(in)	jobu,
		character, intent(in)	jobv,
		character, intent(in)	jobr,
		character, intent(in)	jobt,
		character, intent(in)	jobp,
		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(n), intent(out)	sva,
		complex(dp), dimension(ldu,*), intent(out)	u,
		integer(ilp), intent(in)	ldu,
		complex(dp), dimension(ldv,*), intent(out)	v,
		integer(ilp), intent(in)	ldv,
		complex(dp), dimension(lwork), intent(out)	cwork,
		integer(ilp), intent(in)	lwork,
		real(dp), dimension(lrwork), intent(out)	rwork,
		integer(ilp), intent(in)	lrwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

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

• la_lapack.f90