la_lapack::gees Interface Reference

GEES: computes for an N-by-N complex nonsymmetric matrix A, the eigenvalues, the Schur form T, and, optionally, the matrix of Schur vectors Z. This gives the Schur factorization A = Z*T*(Z**H). Optionally, it also orders the eigenvalues on the diagonal of the Schur form so that selected eigenvalues are at the top left. The leading columns of Z then form an orthonormal basis for the invariant subspace corresponding to the selected eigenvalues. A complex matrix is in Schur form if it is upper triangular. More...

Public Member Functions
subroutine	cgees (jobvs, sort, select, n, a, lda, sdim, w, vs, ldvs, work, lwork, rwork, bwork, info)
	la_cgees
subroutine	dgees (jobvs, sort, select, n, a, lda, sdim, wr, wi, vs, ldvs, work, lwork, bwork, info)
	la_dgees
	la_qgees
subroutine	sgees (jobvs, sort, select, n, a, lda, sdim, wr, wi, vs, ldvs, work, lwork, bwork, info)
	la_sgees
	la_wgees
subroutine	zgees (jobvs, sort, select, n, a, lda, sdim, w, vs, ldvs, work, lwork, rwork, bwork, info)
	la_zgees

Detailed Description

GEES: computes for an N-by-N complex nonsymmetric matrix A, the eigenvalues, the Schur form T, and, optionally, the matrix of Schur vectors Z. This gives the Schur factorization A = Z*T*(Z**H). Optionally, it also orders the eigenvalues on the diagonal of the Schur form so that selected eigenvalues are at the top left. The leading columns of Z then form an orthonormal basis for the invariant subspace corresponding to the selected eigenvalues. A complex matrix is in Schur form if it is upper triangular.

Member Function/Subroutine Documentation

cgees()

subroutine la_lapack::gees::cgees	(	character, intent(in)	jobvs,
		character, intent(in)	sort,
		procedure(la_select_c)	select,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	sdim,
		complex(sp), dimension(*), intent(out)	w,
		complex(sp), dimension(ldvs,*), intent(out)	vs,
		integer(ilp), intent(in)	ldvs,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		real(sp), dimension(*), intent(out)	rwork,
		logical(lk), dimension(*), intent(out)	bwork,
		integer(ilp), intent(out)	info
	)

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dgees()

subroutine la_lapack::gees::dgees	(	character, intent(in)	jobvs,
		character, intent(in)	sort,
		procedure(la_select_d)	select,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	sdim,
		real(dp), dimension(*), intent(out)	wr,
		real(dp), dimension(*), intent(out)	wi,
		real(dp), dimension(ldvs,*), intent(out)	vs,
		integer(ilp), intent(in)	ldvs,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		logical(lk), dimension(*), intent(out)	bwork,
		integer(ilp), intent(out)	info
	)

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la_cgees()

la_lapack::gees::la_cgees

la_dgees()

la_lapack::gees::la_dgees

la_qgees()

la_lapack::gees::la_qgees

la_sgees()

la_lapack::gees::la_sgees

la_wgees()

la_lapack::gees::la_wgees

la_zgees()

la_lapack::gees::la_zgees

sgees()

subroutine la_lapack::gees::sgees	(	character, intent(in)	jobvs,
		character, intent(in)	sort,
		procedure(la_select_s)	select,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	sdim,
		real(sp), dimension(*), intent(out)	wr,
		real(sp), dimension(*), intent(out)	wi,
		real(sp), dimension(ldvs,*), intent(out)	vs,
		integer(ilp), intent(in)	ldvs,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		logical(lk), dimension(*), intent(out)	bwork,
		integer(ilp), intent(out)	info
	)

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zgees()

subroutine la_lapack::gees::zgees	(	character, intent(in)	jobvs,
		character, intent(in)	sort,
		procedure(la_select_z)	select,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	sdim,
		complex(dp), dimension(*), intent(out)	w,
		complex(dp), dimension(ldvs,*), intent(out)	vs,
		integer(ilp), intent(in)	ldvs,
		complex(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		real(dp), dimension(*), intent(out)	rwork,
		logical(lk), dimension(*), intent(out)	bwork,
		integer(ilp), intent(out)	info
	)

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

• la_lapack.f90