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RedHat 9 (Linux i386) - man page for zspmv (redhat section l)

ZSPMV(l)					)					 ZSPMV(l)

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

SYNOPSIS
       SUBROUTINE ZSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )

	   CHARACTER	 UPLO

	   INTEGER	 INCX, INCY, N

	   COMPLEX*16	 ALPHA, BETA

	   COMPLEX*16	 AP( * ), X( * ), Y( * )

PURPOSE
       ZSPMV  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 follows:

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

       AP     - COMPLEX*16 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 symmetric matrix packed sequentially, col-
	      umn  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 column, 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*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.

LAPACK version 3.0			   15 June 2000 				 ZSPMV(l)


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