fortran-lapack
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la_lapack::la_heamv Interface Reference

CLA_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_heamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
 
 la_cla_heamv
 
 la_wla_heamv
 
subroutine zla_heamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
 
 la_zla_heamv
 

Detailed Description

CLA_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_heamv()

subroutine la_lapack::la_heamv::cla_heamv ( 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 
)

◆ la_cla_heamv()

la_lapack::la_heamv::la_cla_heamv

◆ la_wla_heamv()

la_lapack::la_heamv::la_wla_heamv

◆ la_zla_heamv()

la_lapack::la_heamv::la_zla_heamv

◆ zla_heamv()

subroutine la_lapack::la_heamv::zla_heamv ( 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: