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la_lapack::la_gbamv Interface Reference

LA_GBAMV: performs one of the matrix-vector operations y := alpha*abs(A)*abs(x) + beta*abs(y), or y := alpha*abs(A)**T*abs(x) + beta*abs(y), where alpha and beta are scalars, x and y are vectors and A is an m by n 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_gbamv (trans, m, n, kl, ku, alpha, ab, ldab, x, incx, beta, y, incy)
 
 la_cla_gbamv
 
subroutine dla_gbamv (trans, m, n, kl, ku, alpha, ab, ldab, x, incx, beta, y, incy)
 
 la_dla_gbamv
 
 la_qla_gbamv
 
subroutine sla_gbamv (trans, m, n, kl, ku, alpha, ab, ldab, x, incx, beta, y, incy)
 
 la_sla_gbamv
 
 la_wla_gbamv
 
subroutine zla_gbamv (trans, m, n, kl, ku, alpha, ab, ldab, x, incx, beta, y, incy)
 
 la_zla_gbamv
 

Detailed Description

LA_GBAMV: performs one of the matrix-vector operations y := alpha*abs(A)*abs(x) + beta*abs(y), or y := alpha*abs(A)**T*abs(x) + beta*abs(y), where alpha and beta are scalars, x and y are vectors and A is an m by n 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_gbamv()

subroutine la_lapack::la_gbamv::cla_gbamv ( integer(ilp), intent(in) trans,
integer(ilp), intent(in) m,
integer(ilp), intent(in) n,
integer(ilp), intent(in) kl,
integer(ilp), intent(in) ku,
real(sp), intent(in) alpha,
complex(sp), dimension(ldab,*), intent(in) ab,
integer(ilp), intent(in) ldab,
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 )
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◆ dla_gbamv()

subroutine la_lapack::la_gbamv::dla_gbamv ( integer(ilp), intent(in) trans,
integer(ilp), intent(in) m,
integer(ilp), intent(in) n,
integer(ilp), intent(in) kl,
integer(ilp), intent(in) ku,
real(dp), intent(in) alpha,
real(dp), dimension(ldab,*), intent(in) ab,
integer(ilp), intent(in) ldab,
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 )
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◆ la_cla_gbamv()

la_lapack::la_gbamv::la_cla_gbamv

◆ la_dla_gbamv()

la_lapack::la_gbamv::la_dla_gbamv

◆ la_qla_gbamv()

la_lapack::la_gbamv::la_qla_gbamv

◆ la_sla_gbamv()

la_lapack::la_gbamv::la_sla_gbamv

◆ la_wla_gbamv()

la_lapack::la_gbamv::la_wla_gbamv

◆ la_zla_gbamv()

la_lapack::la_gbamv::la_zla_gbamv

◆ sla_gbamv()

subroutine la_lapack::la_gbamv::sla_gbamv ( integer(ilp), intent(in) trans,
integer(ilp), intent(in) m,
integer(ilp), intent(in) n,
integer(ilp), intent(in) kl,
integer(ilp), intent(in) ku,
real(sp), intent(in) alpha,
real(sp), dimension(ldab,*), intent(in) ab,
integer(ilp), intent(in) ldab,
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 )
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◆ zla_gbamv()

subroutine la_lapack::la_gbamv::zla_gbamv ( integer(ilp), intent(in) trans,
integer(ilp), intent(in) m,
integer(ilp), intent(in) n,
integer(ilp), intent(in) kl,
integer(ilp), intent(in) ku,
real(dp), intent(in) alpha,
complex(dp), dimension(ldab,*), intent(in) ab,
integer(ilp), intent(in) ldab,
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: