la_lapack::la_syamv Interface Reference

LA_SYAMV: performs the matrix-vector operation y := alpha*abs(A)*abs(x) + beta*abs(y), where alpha and beta are scalars, x and y are vectors and A is an n by n symmetric matrix. This function is primarily used in calculating error bounds. To protect against underflow during evaluation, components in the resulting vector are perturbed away from zero by (N+1) times the underflow threshold. To prevent unnecessarily large errors for block-structure embedded in general matrices, "symbolically" zero components are not perturbed. A zero entry is considered "symbolic" if all multiplications involved in computing that entry have at least one zero multiplicand. More...

Public Member Functions
subroutine	cla_syamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
	la_cla_syamv
subroutine	dla_syamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
	la_dla_syamv
	la_qla_syamv
subroutine	sla_syamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
	la_sla_syamv
	la_wla_syamv
subroutine	zla_syamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
	la_zla_syamv

Detailed Description

LA_SYAMV: performs the matrix-vector operation y := alpha*abs(A)*abs(x) + beta*abs(y), where alpha and beta are scalars, x and y are vectors and A is an n by n symmetric matrix. This function is primarily used in calculating error bounds. To protect against underflow during evaluation, components in the resulting vector are perturbed away from zero by (N+1) times the underflow threshold. To prevent unnecessarily large errors for block-structure embedded in general matrices, "symbolically" zero components are not perturbed. A zero entry is considered "symbolic" if all multiplications involved in computing that entry have at least one zero multiplicand.

Member Function/Subroutine Documentation

cla_syamv()

subroutine la_lapack::la_syamv::cla_syamv	(	integer(ilp), intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(sp), intent(in)	alpha,
		complex(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(*), intent(in)	x,
		integer(ilp), intent(in)	incx,
		real(sp), intent(in)	beta,
		real(sp), dimension(*), intent(inout)	y,
		integer(ilp), intent(in)	incy
	)

dla_syamv()

subroutine la_lapack::la_syamv::dla_syamv	(	integer(ilp), intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(dp), intent(in)	alpha,
		real(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(in)	x,
		integer(ilp), intent(in)	incx,
		real(dp), intent(in)	beta,
		real(dp), dimension(*), intent(inout)	y,
		integer(ilp), intent(in)	incy
	)

la_cla_syamv()

la_lapack::la_syamv::la_cla_syamv

la_dla_syamv()

la_lapack::la_syamv::la_dla_syamv

la_qla_syamv()

la_lapack::la_syamv::la_qla_syamv

la_sla_syamv()

la_lapack::la_syamv::la_sla_syamv

la_wla_syamv()

la_lapack::la_syamv::la_wla_syamv

la_zla_syamv()

la_lapack::la_syamv::la_zla_syamv

sla_syamv()

subroutine la_lapack::la_syamv::sla_syamv	(	integer(ilp), intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(sp), intent(in)	alpha,
		real(sp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(in)	x,
		integer(ilp), intent(in)	incx,
		real(sp), intent(in)	beta,
		real(sp), dimension(*), intent(inout)	y,
		integer(ilp), intent(in)	incy
	)

zla_syamv()

subroutine la_lapack::la_syamv::zla_syamv	(	integer(ilp), intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(dp), intent(in)	alpha,
		complex(dp), dimension(lda,*), intent(in)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(*), intent(in)	x,
		integer(ilp), intent(in)	incx,
		real(dp), intent(in)	beta,
		real(dp), dimension(*), intent(inout)	y,
		integer(ilp), intent(in)	incy
	)

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

• la_lapack.f90