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RedHat 9 (Linux i386) - man page for chpr2 (redhat section l)

CHPR2(l)				   BLAS routine 				 CHPR2(l)

NAME
       CHPR2  -  perform the hermitian rank 2 operation   A := alpha*x*conjg( y' ) + conjg( alpha
       )*y*conjg( x' ) + A,

SYNOPSIS
       SUBROUTINE CHPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP )

	   COMPLEX	ALPHA

	   INTEGER	INCX, INCY, N

	   CHARACTER*1	UPLO

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

PURPOSE
       CHPR2  performs the hermitian rank 2 operation

       where alpha is a scalar, x and y are n element vectors and  A  is  an  n  by  n	hermitian
       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 	.
	      On entry, ALPHA specifies the scalar alpha.  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.

       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.  Unchanged on exit.

       INCY   - INTEGER.
	      On entry, INCY specifies the increment for the elements of  Y.  INCY  must  not  be
	      zero.  Unchanged on exit.

       AP     - COMPLEX 	 array of 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 hermitian 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. On exit, the array AP is  overwritten
	      by  the  upper triangular part of the updated matrix.  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. On  exit,  the
	      array  AP  is overwritten by the lower triangular part of the updated matrix.  Note
	      that the imaginary parts of the diagonal elements need not be set, they are assumed
	      to be zero, and on exit they are set to zero.

	      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				 CHPR2(l)


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