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RedHat 9 (Linux i386) - man page for sspr2 (redhat section l)

SSPR2(l)				   BLAS routine 				 SSPR2(l)

NAME
       SSPR2 - perform the symmetric rank 2 operation	A := alpha*x*y' + alpha*y*x' + A,

SYNOPSIS
       SUBROUTINE SSPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP )

	   REAL 	ALPHA

	   INTEGER	INCX, INCY, N

	   CHARACTER*1	UPLO

	   REAL 	AP( * ), X( * ), Y( * )

PURPOSE
       SSPR2  performs the symmetric rank 2 operation

       where  alpha  is  a  scalar,  x	and  y are n element vectors and A is an n by n symmetric
       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  - REAL		.
	      On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

       X      - REAL		 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      - REAL		 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     - REAL		 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 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. 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 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. On exit, the
	      array AP is overwritten by the lower triangular part of the updated matrix.

	      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				 SSPR2(l)


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