la_lapack::latbs Interface Reference

LATBS: solves one of the triangular systems A * x = s*b, A**T * x = s*b, or A**H * x = s*b, with scaling to prevent overflow, where A is an upper or lower triangular band matrix. Here A**T denotes the transpose of A, x and b are n-element vectors, and s is a scaling factor, usually less than or equal to 1, chosen so that the components of x will be less than the overflow threshold. If the unscaled problem will not cause overflow, the Level 2 BLAS routine CTBSV is called. If the matrix A is singular (A(j,j) = 0 for some j), then s is set to 0 and a non-trivial solution to A*x = 0 is returned. More...

Public Member Functions
pure subroutine	clatbs (uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info)
	la_clatbs
pure subroutine	dlatbs (uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info)
	la_dlatbs
	la_qlatbs
pure subroutine	slatbs (uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info)
	la_slatbs
	la_wlatbs
pure subroutine	zlatbs (uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info)
	la_zlatbs

Detailed Description

LATBS: solves one of the triangular systems A * x = s*b, A**T * x = s*b, or A**H * x = s*b, with scaling to prevent overflow, where A is an upper or lower triangular band matrix. Here A**T denotes the transpose of A, x and b are n-element vectors, and s is a scaling factor, usually less than or equal to 1, chosen so that the components of x will be less than the overflow threshold. If the unscaled problem will not cause overflow, the Level 2 BLAS routine CTBSV is called. If the matrix A is singular (A(j,j) = 0 for some j), then s is set to 0 and a non-trivial solution to A*x = 0 is returned.

Member Function/Subroutine Documentation

clatbs()

pure subroutine la_lapack::latbs::clatbs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		complex(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		complex(sp), dimension(*), intent(inout)	x,
		real(sp), intent(out)	scale,
		real(sp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

dlatbs()

pure subroutine la_lapack::latbs::dlatbs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		real(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(dp), dimension(*), intent(inout)	x,
		real(dp), intent(out)	scale,
		real(dp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

la_clatbs()

la_lapack::latbs::la_clatbs

la_dlatbs()

la_lapack::latbs::la_dlatbs

la_qlatbs()

la_lapack::latbs::la_qlatbs

la_slatbs()

la_lapack::latbs::la_slatbs

la_wlatbs()

la_lapack::latbs::la_wlatbs

la_zlatbs()

la_lapack::latbs::la_zlatbs

slatbs()

pure subroutine la_lapack::latbs::slatbs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		real(sp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		real(sp), dimension(*), intent(inout)	x,
		real(sp), intent(out)	scale,
		real(sp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

zlatbs()

pure subroutine la_lapack::latbs::zlatbs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	kd,
		complex(dp), dimension(ldab,*), intent(in)	ab,
		integer(ilp), intent(in)	ldab,
		complex(dp), dimension(*), intent(inout)	x,
		real(dp), intent(out)	scale,
		real(dp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

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

• la_lapack.f90