la_lapack::tbrfs Interface Reference

TBRFS: provides error bounds and backward error estimates for the solution to a system of linear equations with a triangular band coefficient matrix. The solution matrix X must be computed by CTBTRS or some other means before entering this routine. TBRFS does not do iterative refinement because doing so cannot improve the backward error. More...

Public Member Functions
pure subroutine	ctbrfs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, x, ldx, ferr, berr, work, rwork, info)
	la_ctbrfs
pure subroutine	dtbrfs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, x, ldx, ferr, berr, work, iwork, info)
	la_dtbrfs
	la_qtbrfs
pure subroutine	stbrfs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, x, ldx, ferr, berr, work, iwork, info)
	la_stbrfs
	la_wtbrfs
pure subroutine	ztbrfs (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, x, ldx, ferr, berr, work, rwork, info)
	la_ztbrfs

Detailed Description

TBRFS: provides error bounds and backward error estimates for the solution to a system of linear equations with a triangular band coefficient matrix. The solution matrix X must be computed by CTBTRS or some other means before entering this routine. TBRFS does not do iterative refinement because doing so cannot improve the backward error.

Member Function/Subroutine Documentation

ctbrfs()

pure subroutine la_lapack::tbrfs::ctbrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		integer(ilp), intent(in)	nrhs,
		complex(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		complex(sp), dimension(ldb,*), intent(in)	b,
		integer(ilp), intent(in)	ldb,
		complex(sp), dimension(ldx,*), intent(in)	x,
		integer(ilp), intent(in)	ldx,
		real(sp), dimension(*), intent(out)	ferr,
		real(sp), dimension(*), intent(out)	berr,
		complex(sp), dimension(*), intent(out)	work,
		real(sp), dimension(*), intent(out)	rwork,
		integer(ilp), intent(out)	info
	)

dtbrfs()

pure subroutine la_lapack::tbrfs::dtbrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		integer(ilp), intent(in)	nrhs,
		real(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(dp), dimension(ldb,*), intent(in)	b,
		integer(ilp), intent(in)	ldb,
		real(dp), dimension(ldx,*), intent(in)	x,
		integer(ilp), intent(in)	ldx,
		real(dp), dimension(*), intent(out)	ferr,
		real(dp), dimension(*), intent(out)	berr,
		real(dp), dimension(*), intent(out)	work,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

la_ctbrfs()

la_lapack::tbrfs::la_ctbrfs

la_dtbrfs()

la_lapack::tbrfs::la_dtbrfs

la_qtbrfs()

la_lapack::tbrfs::la_qtbrfs

la_stbrfs()

la_lapack::tbrfs::la_stbrfs

la_wtbrfs()

la_lapack::tbrfs::la_wtbrfs

la_ztbrfs()

la_lapack::tbrfs::la_ztbrfs

stbrfs()

pure subroutine la_lapack::tbrfs::stbrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		integer(ilp), intent(in)	nrhs,
		real(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(sp), dimension(ldb,*), intent(in)	b,
		integer(ilp), intent(in)	ldb,
		real(sp), dimension(ldx,*), intent(in)	x,
		integer(ilp), intent(in)	ldx,
		real(sp), dimension(*), intent(out)	ferr,
		real(sp), dimension(*), intent(out)	berr,
		real(sp), dimension(*), intent(out)	work,
		integer(ilp), dimension(*), intent(out)	iwork,
		integer(ilp), intent(out)	info
	)

ztbrfs()

pure subroutine la_lapack::tbrfs::ztbrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		integer(ilp), intent(in)	nrhs,
		complex(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		complex(dp), dimension(ldb,*), intent(in)	b,
		integer(ilp), intent(in)	ldb,
		complex(dp), dimension(ldx,*), intent(in)	x,
		integer(ilp), intent(in)	ldx,
		real(dp), dimension(*), intent(out)	ferr,
		real(dp), dimension(*), intent(out)	berr,
		complex(dp), dimension(*), intent(out)	work,
		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