la_lapack::gels Interface Reference

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

Public Member Functions
subroutine	cgels (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_cgels
subroutine	dgels (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_dgels
	la_qgels
subroutine	sgels (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_sgels
	la_wgels
subroutine	zgels (trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
	la_zgels

Detailed Description

GELS: solves overdetermined or underdetermined complex linear systems involving an M-by-N matrix A, or its conjugate-transpose, using a QR or 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 underdetermined system A**H * 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**H * 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

cgels()

subroutine la_lapack::gels::cgels	(	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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dgels()

subroutine la_lapack::gels::dgels	(	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_cgels()

la_lapack::gels::la_cgels

la_dgels()

la_lapack::gels::la_dgels

la_qgels()

la_lapack::gels::la_qgels

la_sgels()

la_lapack::gels::la_sgels

la_wgels()

la_lapack::gels::la_wgels

la_zgels()

la_lapack::gels::la_zgels

sgels()

subroutine la_lapack::gels::sgels	(	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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zgels()

subroutine la_lapack::gels::zgels	(	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