[BACK]Return to dspr.f CVS log [TXT] [DIR] Up to [local] / rpl / lapack / blas

Diff for /rpl/lapack/blas/dspr.f between versions 1.4 and 1.14

version 1.4, 2010/08/07 13:22:09 version 1.14, 2018/05/29 06:55:14
Line 1 Line 1
   *> \brief \b DSPR
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at
   *            http://www.netlib.org/lapack/explore-html/
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE DSPR(UPLO,N,ALPHA,X,INCX,AP)
   *
   *       .. Scalar Arguments ..
   *       DOUBLE PRECISION ALPHA
   *       INTEGER INCX,N
   *       CHARACTER UPLO
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION AP(*),X(*)
   *       ..
   *
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> DSPR    performs the symmetric rank 1 operation
   *>
   *>    A := alpha*x*x**T + A,
   *>
   *> where alpha is a real scalar, x is an n element vector and A is an
   *> n by n symmetric matrix, supplied in packed form.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          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.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>           On entry, N specifies the order of the matrix A.
   *>           N must be at least zero.
   *> \endverbatim
   *>
   *> \param[in] ALPHA
   *> \verbatim
   *>          ALPHA is DOUBLE PRECISION.
   *>           On entry, ALPHA specifies the scalar alpha.
   *> \endverbatim
   *>
   *> \param[in] X
   *> \verbatim
   *>          X is DOUBLE PRECISION array, dimension at least
   *>           ( 1 + ( n - 1 )*abs( INCX ) ).
   *>           Before entry, the incremented array X must contain the n
   *>           element vector x.
   *> \endverbatim
   *>
   *> \param[in] INCX
   *> \verbatim
   *>          INCX is INTEGER
   *>           On entry, INCX specifies the increment for the elements of
   *>           X. INCX must not be zero.
   *> \endverbatim
   *>
   *> \param[in,out] AP
   *> \verbatim
   *>          AP is DOUBLE PRECISION 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, 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.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee
   *> \author Univ. of California Berkeley
   *> \author Univ. of Colorado Denver
   *> \author NAG Ltd.
   *
   *> \date December 2016
   *
   *> \ingroup double_blas_level2
   *
   *> \par Further Details:
   *  =====================
   *>
   *> \verbatim
   *>
   *>  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.
   *> \endverbatim
   *>
   *  =====================================================================
       SUBROUTINE DSPR(UPLO,N,ALPHA,X,INCX,AP)        SUBROUTINE DSPR(UPLO,N,ALPHA,X,INCX,AP)
   *
   *  -- Reference BLAS level2 routine (version 3.7.0) --
   *  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
   *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
   *     December 2016
   *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       DOUBLE PRECISION ALPHA        DOUBLE PRECISION ALPHA
       INTEGER INCX,N        INTEGER INCX,N
Line 8 Line 141
       DOUBLE PRECISION AP(*),X(*)        DOUBLE PRECISION AP(*),X(*)
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  DSPR    performs the symmetric rank 1 operation  
 *  
 *     A := alpha*x*x' + A,  
 *  
 *  where alpha is a real scalar, x is an n element vector 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  - DOUBLE PRECISION.  
 *           On entry, ALPHA specifies the scalar alpha.  
 *           Unchanged on exit.  
 *  
 *  X      - DOUBLE PRECISION 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.  
 *  
 *  AP     - DOUBLE PRECISION 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.  
 *  
 *  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.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.4  
changed lines
  Added in v.1.14

CVSweb interface <joel.bertrand@systella.fr>