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sspr2.f(3) [centos man page]

sspr2.f(3)							      LAPACK								sspr2.f(3)

NAME

       sspr2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sspr2 (UPLO, N, ALPHA, X, INCX, Y, INCY, AP)
	   SSPR2

Function/Subroutine Documentation
   subroutine sspr2 (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(*)Y, integerINCY, real, dimension(*)AP)
       SSPR2 Purpose:

	    SSPR2  performs the symmetric rank 2 operation

	       A := alpha*x*y**T + alpha*y*x**T + A,

	    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

		     UPLO is 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.

	   N

		     N is INTEGER
		      On entry, N specifies the order of the matrix A.
		      N must be at least zero.

	   ALPHA

		     ALPHA is REAL
		      On entry, ALPHA specifies the scalar alpha.

	   X

		     X is REAL array of dimension at least
		      ( 1 + ( n - 1 )*abs( INCX ) ).
		      Before entry, the incremented array X must contain the n
		      element vector x.

	   INCX

		     INCX is INTEGER
		      On entry, INCX specifies the increment for the elements of
		      X. INCX must not be zero.

	   Y

		     Y is REAL array of dimension at least
		      ( 1 + ( n - 1 )*abs( INCY ) ).
		      Before entry, the incremented array Y must contain the n
		      element vector y.

	   INCY

		     INCY is INTEGER
		      On entry, INCY specifies the increment for the elements of
		      Y. INCY must not be zero.

	   AP

		     AP is 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, 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. 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Further Details:

	     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.

       Definition at line 143 of file sspr2.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012							sspr2.f(3)

Check Out this Related Man Page

SSPR2(3)							   BLAS routine 							  SSPR2(3)

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, 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. 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 Cen-
	      tral Office.  Richard Hanson, Sandia National Labs.

BLAS routine							  16 October 1992							  SSPR2(3)
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