NAME

zhemv - perform the matrix-vector operation y := alpha∗A∗x + beta∗y

SYNOPSIS

SUBROUTINE ZHEMV
( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

COMPLEX∗16 ALPHA, BETA

INTEGER INCX, INCY, LDA, N

CHARACTER∗1 UPLO

COMPLEX∗16 A( LDA, ∗ ), X( ∗ ), Y( ∗ )

PURPOSE

ZHEMV  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 hermitian matrix. 
 

PARAMETERS

UPLO   - CHARACTER∗1. 
On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
 
UPLO = ’U’ or ’u’   Only the upper triangular part of A is to be referenced.
 
UPLO = ’L’ or ’l’   Only the lower triangular part of A is to be referenced.
 
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∗16      . 
On entry, ALPHA specifies the scalar alpha. Unchanged on exit.

A      - COMPLEX∗16       array of DIMENSION ( LDA, n ). 
Before entry with  UPLO = ’U’ or ’u’, the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = ’L’ or ’l’, the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 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, n ). Unchanged on exit.

X      - COMPLEX∗16       array of 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∗16      . 
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∗16       array of 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 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.

SunSoft, Inc.  —  Last change: 27 Jun 1995