la_lapack::getsls Interface Reference

GETSLS: solves overdetermined or underdetermined complex linear systems involving an M-by-N matrix A, using a tall skinny QR or short wide LQ factorization of A. It is assumed that A has full rank. The following options are provided: More...

Public Member Functions
subroutine	cgetsls (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_cgetsls
subroutine	dgetsls (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_dgetsls
	la_qgetsls
subroutine	sgetsls (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_sgetsls
	la_wgetsls
subroutine	zgetsls (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_zgetsls

Detailed Description

GETSLS: solves overdetermined or underdetermined complex linear systems involving an M-by-N matrix A, using a tall skinny QR or short wide LQ factorization of A. It is assumed that A has full rank. The following options are provided:

1. If TRANS = 'N' and m >= n: find the least squares solution of an overdetermined system, i.e., solve the least squares problem minimize || B - A*X ||.
2. If TRANS = 'N' and m < n: find the minimum norm solution of an underdetermined system A * X = B.
3. If TRANS = 'C' and m >= n: find the minimum norm solution of an undetermined system A**T * X = B.
4. If TRANS = 'C' and m < n: find the least squares solution of an overdetermined system, i.e., solve the least squares problem minimize || B - A**T * X ||. Several right hand side vectors b and solution vectors x can be handled in a single call; they are stored as the columns of the M-by-NRHS right hand side matrix B and the N-by-NRHS solution matrix X.

Member Function/Subroutine Documentation

cgetsls()

subroutine la_lapack::getsls::cgetsls	(	character, intent(in)	trans,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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dgetsls()

subroutine la_lapack::getsls::dgetsls	(	character, intent(in)	trans,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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la_cgetsls()

la_lapack::getsls::la_cgetsls

la_dgetsls()

la_lapack::getsls::la_dgetsls

la_qgetsls()

la_lapack::getsls::la_qgetsls

la_sgetsls()

la_lapack::getsls::la_sgetsls

la_wgetsls()

la_lapack::getsls::la_wgetsls

la_zgetsls()

la_lapack::getsls::la_zgetsls

sgetsls()

subroutine la_lapack::getsls::sgetsls	(	character, intent(in)	trans,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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zgetsls()

subroutine la_lapack::getsls::zgetsls	(	character, intent(in)	trans,
		integer(ilp), intent(in)	m,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(ldb,*), intent(inout)	b,
		integer(ilp), intent(in)	ldb,
		complex(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

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

• la_lapack.f90