la_lapack::latrs Interface Reference

LATRS: 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. Here A is an upper or lower triangular matrix, A**T denotes the transpose of A, A**H denotes the conjugate 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 CTRSV 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	clatrs (uplo, trans, diag, normin, n, a, lda, x, scale, cnorm, info)
	la_clatrs
pure subroutine	dlatrs (uplo, trans, diag, normin, n, a, lda, x, scale, cnorm, info)
	la_dlatrs
	la_qlatrs
pure subroutine	slatrs (uplo, trans, diag, normin, n, a, lda, x, scale, cnorm, info)
	la_slatrs
	la_wlatrs
pure subroutine	zlatrs (uplo, trans, diag, normin, n, a, lda, x, scale, cnorm, info)
	la_zlatrs

Detailed Description

LATRS: 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. Here A is an upper or lower triangular matrix, A**T denotes the transpose of A, A**H denotes the conjugate 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 CTRSV 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

clatrs()

pure subroutine la_lapack::latrs::clatrs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(*), intent(inout)	x,
		real(sp), intent(out)	scale,
		real(sp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

dlatrs()

pure subroutine la_lapack::latrs::dlatrs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(inout)	x,
		real(dp), intent(out)	scale,
		real(dp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

la_clatrs()

la_lapack::latrs::la_clatrs

la_dlatrs()

la_lapack::latrs::la_dlatrs

la_qlatrs()

la_lapack::latrs::la_qlatrs

la_slatrs()

la_lapack::latrs::la_slatrs

la_wlatrs()

la_lapack::latrs::la_wlatrs

la_zlatrs()

la_lapack::latrs::la_zlatrs

slatrs()

pure subroutine la_lapack::latrs::slatrs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(inout)	x,
		real(sp), intent(out)	scale,
		real(sp), dimension(*), intent(inout)	cnorm,
		integer(ilp), intent(out)	info
	)

zlatrs()

pure subroutine la_lapack::latrs::zlatrs	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		character, intent(in)	normin,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		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