# cla_geamv (l) - Linux Manuals

## NAME

CLA_GEAMV - performs one of the matrix-vector operations y := alpha*abs(A)*abs(x) + beta*abs(y),

## SYNOPSIS

SUBROUTINE CLA_GEAMV
( TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

IMPLICIT NONE

REAL ALPHA, BETA

INTEGER INCX, INCY, LDA, M, N

INTEGER TRANS

COMPLEX A( LDA, * ), X( * )

REAL Y( * )

## PURPOSE

CLA_GEAMV performs one of the matrix-vector operations
or   y := alpha*abs(A)aq*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.

## ARGUMENTS

TRANS - 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(Aaq)*abs(x) + beta*abs(y)
BLAS_CONJ_TRANS y := alpha*abs(Aaq)*abs(x) + beta*abs(y) Unchanged on exit.
M - INTEGER
On entry, M specifies the number of rows of the matrix A. M must be at least zero. Unchanged on exit.
N - INTEGER
On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit.
ALPHA - REAL
On entry, ALPHA specifies the scalar alpha. Unchanged on exit.
A - COMPLEX array of 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 - 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 - COMPLEX array of DIMENSION at least
( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = aqNaq or aqnaq and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x. Unchanged on exit.
INCX - INTEGER
On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit.
BETA - 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 - REAL array of DIMENSION at least
( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = aqNaq or aqnaq 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.
INCY - INTEGER
On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. Unchanged on exit. Level 2 Blas routine.