la_lapack::gesvd Interface Reference

GESVD: computes the singular value decomposition (SVD) of a complex M-by-N matrix A, optionally computing the left and/or right singular vectors. The SVD is written A = U * SIGMA * conjugate-transpose(V) where SIGMA is an M-by-N matrix which is zero except for its min(m,n) diagonal elements, U is an 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; they are real and non-negative, and are returned in descending order. The first min(m,n) columns of U and V are the left and right singular vectors of A. Note that the routine returns V**H, not V. More...

Public Member Functions
subroutine	cgesvd (jobu, jobvt, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, rwork, info)
	la_cgesvd
subroutine	dgesvd (jobu, jobvt, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, info)
	la_dgesvd
	la_qgesvd
subroutine	sgesvd (jobu, jobvt, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, info)
	la_sgesvd
	la_wgesvd
subroutine	zgesvd (jobu, jobvt, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, rwork, info)
	la_zgesvd

Detailed Description

GESVD: computes the singular value decomposition (SVD) of a complex M-by-N matrix A, optionally computing the left and/or right singular vectors. The SVD is written A = U * SIGMA * conjugate-transpose(V) where SIGMA is an M-by-N matrix which is zero except for its min(m,n) diagonal elements, U is an 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; they are real and non-negative, and are returned in descending order. The first min(m,n) columns of U and V are the left and right singular vectors of A. Note that the routine returns V**H, not V.

Member Function/Subroutine Documentation

cgesvd()

subroutine la_lapack::gesvd::cgesvd	(	character, intent(in)	jobu,
		character, intent(in)	jobvt,
		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(ldvt,*), intent(out)	vt,
		integer(ilp), intent(in)	ldvt,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(out)	info )

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dgesvd()

subroutine la_lapack::gesvd::dgesvd	(	character, intent(in)	jobu,
		character, intent(in)	jobvt,
		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(ldvt,*), intent(out)	vt,
		integer(ilp), intent(in)	ldvt,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info )

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la_cgesvd()

la_lapack::gesvd::la_cgesvd

la_dgesvd()

la_lapack::gesvd::la_dgesvd

la_qgesvd()

la_lapack::gesvd::la_qgesvd

la_sgesvd()

la_lapack::gesvd::la_sgesvd

la_wgesvd()

la_lapack::gesvd::la_wgesvd

la_zgesvd()

la_lapack::gesvd::la_zgesvd

sgesvd()

subroutine la_lapack::gesvd::sgesvd	(	character, intent(in)	jobu,
		character, intent(in)	jobvt,
		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(ldvt,*), intent(out)	vt,
		integer(ilp), intent(in)	ldvt,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info )

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zgesvd()

subroutine la_lapack::gesvd::zgesvd	(	character, intent(in)	jobu,
		character, intent(in)	jobvt,
		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(ldvt,*), intent(out)	vt,
		integer(ilp), intent(in)	ldvt,
		complex(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		real(dp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(out)	info )

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

• la_lapack.f90