CHEMV(1)

NAME
LAPACK-3 - performs the matrix-vector operation y := alpha*A*x + beta*y,

SYNOPSIS

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

COMPLEX
    ALPHA,BETA

INTEGER
    INCX,INCY,LDA,N

CHARACTER
    UPLO

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

PURPOSE
CHEMV performs the matrix-vector operation
 where alpha and beta are scalars, x and y are n element vectors and
 A is an n by n hermitian matrix.

ARGUMENTS

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         .
     On entry, ALPHA specifies the scalar alpha.
     Unchanged on exit.

A      - COMPLEX          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          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         .
     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 + ( 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.

FURTHER DETAILS
 Level 2 Blas routine.
 The vector and matrix arguments are not referenced when N = 0, or M = 0
 -- 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.