table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sla_geamv.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sla_geamv.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sla_geamv.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SLA_GEAMV (trans, m, n, alpha, a, lda, x, incx,
beta, y, incy)
SLA_GEAMV computes a matrix-vector product using a general matrix to
calculate error bounds.
Function/Subroutine Documentation¶
subroutine SLA_GEAMV (integer trans, integer m, integer n, real alpha, real, dimension( lda, * ) a, integer lda, real, dimension( * ) x, integer incx, real beta, real, dimension( * ) y, integer incy)¶
SLA_GEAMV computes a matrix-vector product using a general matrix to calculate error bounds.
Purpose:
!> !> SLA_GEAMV 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, !> zero components are not perturbed. A zero !> entry is considered if all multiplications involved !> in computing that entry have at least one zero multiplicand. !>
Parameters
TRANS
!> TRANS is INTEGER !> On entry, TRANS specifies the operation to be performed as !> follows: !> !> BLAS_NO_TRANS y := alpha*abs(A)*abs(x) + beta*abs(y) !> BLAS_TRANS y := alpha*abs(A**T)*abs(x) + beta*abs(y) !> BLAS_CONJ_TRANS y := alpha*abs(A**T)*abs(x) + beta*abs(y) !> !> Unchanged on exit. !>
M
!> M is INTEGER !> On entry, M specifies the number of rows of the matrix A. !> M must be at least zero. !> Unchanged on exit. !>
N
!> N is INTEGER !> On entry, N specifies the number of columns of the matrix A. !> N must be at least zero. !> Unchanged on exit. !>
ALPHA
!> ALPHA is REAL !> On entry, ALPHA specifies the scalar alpha. !> Unchanged on exit. !>
A
!> A is REAL array, dimension ( LDA, n ) !> Before entry, the leading m by n part of the array A must !> contain the matrix of coefficients. !> Unchanged on exit. !>
LDA
!> LDA is INTEGER !> On entry, LDA specifies the first dimension of A as declared !> in the calling (sub) program. LDA must be at least !> max( 1, m ). !> Unchanged on exit. !>
X
!> X is REAL array, dimension !> ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' !> and at least !> ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. !> Before entry, the incremented array X must contain the !> vector x. !> Unchanged on exit. !>
INCX
!> INCX is INTEGER !> On entry, INCX specifies the increment for the elements of !> X. INCX must not be zero. !> Unchanged on exit. !>
BETA
!> BETA is REAL !> On entry, BETA specifies the scalar beta. When BETA is !> supplied as zero then Y need not be set on input. !> Unchanged on exit. !>
Y
!> Y is REAL array, !> dimension at least !> ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' !> and at least !> ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. !> Before entry with BETA non-zero, the incremented array Y !> must contain the vector y. On exit, Y is overwritten by the !> updated vector y. !> If either m or n is zero, then Y not referenced and the function !> performs a quick return. !>
INCY
!> INCY is INTEGER !> On entry, INCY specifies the increment for the elements of !> Y. INCY must not be zero. !> Unchanged on exit. !> !> Level 2 Blas routine. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 174 of file sla_geamv.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |