Return the following matrix-vector products, using the vector x and triangular matrix A or its transpose:
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Public Member Functions
pure subroutine	ztrsv (uplo, trans, diag, n, a, lda, x, incx)

pure subroutine	ctrsv (uplo, trans, diag, n, a, lda, x, incx)

pure subroutine	dtrsv (uplo, trans, diag, n, a, lda, x, incx)

pure subroutine	strsv (uplo, trans, diag, n, a, lda, x, incx)

Detailed Description

Return the following matrix-vector products, using the vector x and triangular matrix A or its transpose:

\begin{equation} x\leftarrow A-1 x x\leftarrow A^-T x x\leftarrow A^-H x \end{equation}

This generic interface offers a compile-time resolution to the BLAS strsv, dtrsv, ctrsv, ztrsv matrix multiplication routines.
See the documentation of reference BLAS library for the definition of the input arguments.

See also: pm_matrixMulTri

Final Remarks ⛓

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For details on the naming abbreviations, see this page.
For details on the naming conventions, see this page.
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Copyright: Computational Data Science Lab

Author:: Amir Shahmoradi, Friday 1:54 AM, April 21, 2017, Institute for Computational Engineering and Sciences (ICES), The University of Texas, Austin, TX

Definition at line 510 of file pm_blas.F90.

Member Function/Subroutine Documentation

◆ ctrsv()

pure subroutine pm_blas::blasTRSV::ctrsv	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(IK), intent(in)	n,
		complex(TKG), intent(in)	a,
		integer(IK), intent(in)	lda,
		complex(TKG), intent(inout)	x,
		integer(IK), intent(in)	incx
	)

Definition at line 519 of file pm_blas.F90.

References pm_kind::IK, and pm_kind::RKS.

◆ dtrsv()

pure subroutine pm_blas::blasTRSV::dtrsv	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(IK), intent(in)	n,
		real(TKG), intent(in)	a,
		integer(IK), intent(in)	lda,
		real(TKG), intent(inout)	x,
		integer(IK), intent(in)	incx
	)

Definition at line 527 of file pm_blas.F90.

References pm_kind::IK, and pm_kind::RKD.

◆ strsv()

pure subroutine pm_blas::blasTRSV::strsv	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(IK), intent(in)	n,
		real(TKG), intent(in)	a,
		integer(IK), intent(in)	lda,
		real(TKG), intent(inout)	x,
		integer(IK), intent(in)	incx
	)

Definition at line 535 of file pm_blas.F90.

References pm_kind::IK, and pm_kind::RKS.

◆ ztrsv()

pure subroutine pm_blas::blasTRSV::ztrsv	(	character, intent(in)	uplo,
		character, intent(in)	trans,
		character, intent(in)	diag,
		integer(IK), intent(in)	n,
		complex(TKG), intent(in)	a,
		integer(IK), intent(in)	lda,
		complex(TKG), intent(inout)	x,
		integer(IK), intent(in)	incx
	)

Definition at line 511 of file pm_blas.F90.