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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 )

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