la_lapack::trrfs Interface Reference

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

Public Member Functions
pure subroutine	ctrrfs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, x, ldx, ferr, berr, work, rwork, info)
	la_ctrrfs
pure subroutine	dtrrfs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, x, ldx, ferr, berr, work, iwork, info)
	la_dtrrfs
	la_qtrrfs
pure subroutine	strrfs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, x, ldx, ferr, berr, work, iwork, info)
	la_strrfs
	la_wtrrfs
pure subroutine	ztrrfs (uplo, trans, diag, n, nrhs, a, lda, b, ldb, x, ldx, ferr, berr, work, rwork, info)
	la_ztrrfs

Detailed Description

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

Member Function/Subroutine Documentation

ctrrfs()

pure subroutine la_lapack::trrfs::ctrrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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
	)

dtrrfs()

pure subroutine la_lapack::trrfs::dtrrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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_ctrrfs()

la_lapack::trrfs::la_ctrrfs

la_dtrrfs()

la_lapack::trrfs::la_dtrrfs

la_qtrrfs()

la_lapack::trrfs::la_qtrrfs

la_strrfs()

la_lapack::trrfs::la_strrfs

la_wtrrfs()

la_lapack::trrfs::la_wtrrfs

la_ztrrfs()

la_lapack::trrfs::la_ztrrfs

strrfs()

pure subroutine la_lapack::trrfs::strrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		real(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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
	)

ztrrfs()

pure subroutine la_lapack::trrfs::ztrrfs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nrhs,
		complex(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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