table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dla_syamv.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dla_syamv.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dla_syamv.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DLA_SYAMV (uplo, n, alpha, a, lda, x, incx,
beta, y, incy)
DLA_SYAMV computes a matrix-vector product using a symmetric indefinite
matrix to calculate error bounds.
Function/Subroutine Documentation¶
subroutine DLA_SYAMV (integer uplo, integer n, double precision alpha, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) x, integer incx, double precision beta, double precision, dimension( * ) y, integer incy)¶
DLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bounds.
Purpose:
!> !> DLA_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, !> 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
UPLO
!> UPLO is INTEGER !> On entry, UPLO specifies whether the upper or lower !> triangular part of the array A is to be referenced as !> follows: !> !> UPLO = BLAS_UPPER Only the upper triangular part of A !> is to be referenced. !> !> UPLO = BLAS_LOWER Only the lower triangular part of A !> is to be referenced. !> !> 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 DOUBLE PRECISION . !> On entry, ALPHA specifies the scalar alpha. !> Unchanged on exit. !>
A
!> A is DOUBLE PRECISION 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, n ). !> Unchanged on exit. !>
X
!> X is DOUBLE PRECISION array, dimension !> ( 1 + ( n - 1 )*abs( INCX ) ) !> 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 DOUBLE PRECISION . !> 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 DOUBLE PRECISION array, dimension !> ( 1 + ( n - 1 )*abs( INCY ) ) !> 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. !>
INCY
!> INCY is INTEGER !> On entry, INCY specifies the increment for the elements of !> Y. INCY must not be zero. !> Unchanged on exit. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> Level 2 Blas routine. !> !> -- Written on 22-October-1986. !> Jack Dongarra, Argonne National Lab. !> Jeremy Du Croz, Nag Central Office. !> Sven Hammarling, Nag Central Office. !> Richard Hanson, Sandia National Labs. !> -- Modified for the absolute-value product, April 2006 !> Jason Riedy, UC Berkeley !>
Definition at line 175 of file dla_syamv.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.12.0 | LAPACK |