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

ZHPMV(l)				   BLAS routine 				 ZHPMV(l)

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

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

	   COMPLEX*16	ALPHA, BETA

	   INTEGER	INCX, INCY, N

	   CHARACTER*1	UPLO

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

PURPOSE
       ZHPMV  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 hermit-
       ian matrix, supplied in packed form.

PARAMETERS
       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 of DIMENSION at least
	      ( ( n*( n + 1 ) )/2 ).  Before entry with UPLO = 'U' or 'u', the array AP must con-
	      tain  the upper triangular part of the hermitian 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	hermitian  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.  Note that the  imagi-
	      nary  parts  of  the  diagonal elements need not be set and are assumed to be zero.
	      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.

	      Level 2 Blas routine.

	      --  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.

BLAS routine				 16 October 1992				 ZHPMV(l)


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