CXML
        	    
LAPACK version 3.0
zsymv(3)

PURPOSE
  ZSYMV - perform the matrix-vector operation  y := alpha*A*x + beta*y,

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

      CHARACTER	    UPLO

      INTEGER	    INCX, INCY, LDA, N

      COMPLEX*16    ALPHA, BETA

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

DESCRIPTION
  ZSYMV 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.

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*16
	 On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

  A	 - COMPLEX*16 array, 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 symmetric 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 symmetric matrix and the strictly upper
	 triangular part of A is not referenced.  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, 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, 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.