CSPMV(l) ) CSPMV(l)NAME
CSPMV - perform the matrix-vector operation y := alpha*A*x + beta*y,
SYNOPSIS
SUBROUTINE CSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )
CHARACTER UPLO
INTEGER INCX, INCY, N
COMPLEX ALPHA, BETA
COMPLEX AP( * ), X( * ), Y( * )
PURPOSE
CSPMV performs the matrix-vector operation y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and A
is an n by n symmetric matrix, supplied in packed form.
ARGUMENTS
UPLO - CHARACTER*1
On entry, UPLO specifies whether the upper or lower triangular
part of the matrix A is supplied in the packed array AP as fol‐
lows:
UPLO = 'U' or 'u' The upper triangular part of A is supplied
in AP.
UPLO = 'L' or 'l' The lower triangular part of A is supplied
in AP.
Unchanged on exit.
N - INTEGER
On entry, N specifies the order 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.
AP - COMPLEX array, dimension at least
( ( N*( N + 1 ) )/2 ). Before entry, with UPLO = 'U' or 'u',
the array AP must contain the upper triangular part of the sym‐
metric matrix packed sequentially, column by column, so that AP(
1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
and a( 2, 2 ) respectively, and so on. Before entry, with UPLO
= 'L' or 'l', the array AP must contain the lower triangular
part of the symmetric matrix packed sequentially, column by col‐
umn, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 )
contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on.
Unchanged on exit.
X - COMPLEX array, dimension at least
( 1 + ( N - 1 )*abs( INCX ) ). Before entry, the incremented
array X must contain the N- element 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 - 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, dimension at least
( 1 + ( N - 1 )*abs( INCY ) ). Before entry, the incremented
array Y must contain the n element vector y. On exit, Y is over‐
written 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.
LAPACK version 3.0 15 June 2000 CSPMV(l)