CGEMV - perform one of the matrix-vector operations y :=
alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or y :=
alpha*conjg( A' )*x + beta*y,
SYNOPSIS
SUBROUTINE CGEMV ( TRANS, M, N, ALPHA, A, LDA, X, INCX,
BETA, Y, INCY )
COMPLEX ALPHA, BETA
INTEGER INCX, INCY, LDA, M, N
CHARACTER*1 TRANS
COMPLEX A( LDA, * ), X( * ), Y( * )
PURPOSE
CGEMV performs one of the matrix-vector operations
where alpha and beta are scalars, x and y are vectors and
A is an m by n matrix.
PARAMETERS
TRANS - CHARACTER*1.
On entry, TRANS specifies the operation to be per
formed as follows:
TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
TRANS = 'C' or 'c' y := alpha*conjg( A' )*x +
beta*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 - COMPLEX .
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
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 = 'N' or
'n' and at least ( 1 + ( m - 1 )*abs( INCX ) ) oth
erwise. Before entry, the incremented array X must
contain the vector x. Unchanged on exit.
INCX - INTEGER.
On entry, INCX specifies the increment for the ele
ments of X. INCX must not be zero. Unchanged on
exit.
BETA - COMPLEX .
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 - COMPLEX array of DIMENSION at least
( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or
'n' and at least ( 1 + ( n - 1 )*abs( INCY ) ) oth
erwise. 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 ele
ments of Y. INCY must not be zero. Unchanged on
exit.
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.
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