la_lapack::trsen Interface Reference

TRSEN: reorders the Schur factorization of a complex matrix A = Q*T*Q**H, so that a selected cluster of eigenvalues appears in the leading positions on the diagonal of the upper triangular matrix T, and the leading columns of Q form an orthonormal basis of the corresponding right invariant subspace. Optionally the routine computes the reciprocal condition numbers of the cluster of eigenvalues and/or the invariant subspace. More...

Public Member Functions
subroutine	ctrsen (job, compq, select, n, t, ldt, q, ldq, w, m, s, sep, work, lwork, info)
	la_ctrsen
subroutine	dtrsen (job, compq, select, n, t, ldt, q, ldq, wr, wi, m, s, sep, work, lwork, iwork, liwork, info)
	la_dtrsen
	la_qtrsen
subroutine	strsen (job, compq, select, n, t, ldt, q, ldq, wr, wi, m, s, sep, work, lwork, iwork, liwork, info)
	la_strsen
	la_wtrsen
subroutine	ztrsen (job, compq, select, n, t, ldt, q, ldq, w, m, s, sep, work, lwork, info)
	la_ztrsen

Detailed Description

TRSEN: reorders the Schur factorization of a complex matrix A = Q*T*Q**H, so that a selected cluster of eigenvalues appears in the leading positions on the diagonal of the upper triangular matrix T, and the leading columns of Q form an orthonormal basis of the corresponding right invariant subspace. Optionally the routine computes the reciprocal condition numbers of the cluster of eigenvalues and/or the invariant subspace.

Member Function/Subroutine Documentation

ctrsen()

subroutine la_lapack::trsen::ctrsen	(	character, intent(in)	job,
		character, intent(in)	compq,
		logical(lk), dimension(*), intent(in)	select,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(ldt,*), intent(inout)	t,
		integer(ilp), intent(in)	ldt,
		complex(sp), dimension(ldq,*), intent(inout)	q,
		integer(ilp), intent(in)	ldq,
		complex(sp), dimension(*), intent(out)	w,
		integer(ilp), intent(out)	m,
		real(sp), intent(out)	s,
		real(sp), intent(out)	sep,
		complex(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), intent(out)	info
	)

dtrsen()

subroutine la_lapack::trsen::dtrsen	(	character, intent(in)	job,
		character, intent(in)	compq,
		logical(lk), dimension(*), intent(in)	select,
		integer(ilp), intent(in)	n,
		real(dp), dimension(ldt,*), intent(inout)	t,
		integer(ilp), intent(in)	ldt,
		real(dp), dimension(ldq,*), intent(inout)	q,
		integer(ilp), intent(in)	ldq,
		real(dp), dimension(*), intent(out)	wr,
		real(dp), dimension(*), intent(out)	wi,
		integer(ilp), intent(out)	m,
		real(dp), intent(out)	s,
		real(dp), intent(out)	sep,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		integer(ilp), intent(out)	info
	)

la_ctrsen()

la_lapack::trsen::la_ctrsen

la_dtrsen()

la_lapack::trsen::la_dtrsen

la_qtrsen()

la_lapack::trsen::la_qtrsen

la_strsen()

la_lapack::trsen::la_strsen

la_wtrsen()

la_lapack::trsen::la_wtrsen

la_ztrsen()

la_lapack::trsen::la_ztrsen

strsen()

subroutine la_lapack::trsen::strsen	(	character, intent(in)	job,
		character, intent(in)	compq,
		logical(lk), dimension(*), intent(in)	select,
		integer(ilp), intent(in)	n,
		real(sp), dimension(ldt,*), intent(inout)	t,
		integer(ilp), intent(in)	ldt,
		real(sp), dimension(ldq,*), intent(inout)	q,
		integer(ilp), intent(in)	ldq,
		real(sp), dimension(*), intent(out)	wr,
		real(sp), dimension(*), intent(out)	wi,
		integer(ilp), intent(out)	m,
		real(sp), intent(out)	s,
		real(sp), intent(out)	sep,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), intent(in)	lwork,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(in)	liwork,
		integer(ilp), intent(out)	info
	)

ztrsen()

subroutine la_lapack::trsen::ztrsen	(	character, intent(in)	job,
		character, intent(in)	compq,
		logical(lk), dimension(*), intent(in)	select,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(ldt,*), intent(inout)	t,
		integer(ilp), intent(in)	ldt,
		complex(dp), dimension(ldq,*), intent(inout)	q,
		integer(ilp), intent(in)	ldq,
		complex(dp), dimension(*), intent(out)	w,
		integer(ilp), intent(out)	m,
		real(dp), intent(out)	s,
		real(dp), intent(out)	sep,
		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