sspr2 (3p)

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)

CHARACTER*1 UPLO
INTEGER N, INCX, INCY
REAL ALPHA
REAL X(*), Y(*), AP(*)

SUBROUTINE SSPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

CHARACTER*1 UPLO
INTEGER*8 N, INCX, INCY
REAL ALPHA
REAL X(*), Y(*), AP(*)




F95 INTERFACE
SUBROUTINE SPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

CHARACTER(LEN=1) :: UPLO
INTEGER :: N, INCX, INCY
REAL :: ALPHA
REAL, DIMENSION(:) :: X, Y, AP

SUBROUTINE SPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

CHARACTER(LEN=1) :: UPLO
INTEGER(8) :: N, INCX, INCY
REAL :: ALPHA
REAL, DIMENSION(:) :: X, Y, AP




C INTERFACE
#include <sunperf.h>

void sspr2(char uplo, int n, float alpha, float *x, int incx, float *y,
int incy, float *ap);

void  sspr2_64(char  uplo,  long  n,  float alpha, float *x, long incx,
float *y, long incy, float *ap);

Description

Oracle Solaris Studio Performance Library                            sspr2(3P)



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)

       CHARACTER*1 UPLO
       INTEGER N, INCX, INCY
       REAL ALPHA
       REAL X(*), Y(*), AP(*)

       SUBROUTINE SSPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

       CHARACTER*1 UPLO
       INTEGER*8 N, INCX, INCY
       REAL ALPHA
       REAL X(*), Y(*), AP(*)




   F95 INTERFACE
       SUBROUTINE SPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: N, INCX, INCY
       REAL :: ALPHA
       REAL, DIMENSION(:) :: X, Y, AP

       SUBROUTINE SPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: N, INCX, INCY
       REAL :: ALPHA
       REAL, DIMENSION(:) :: X, Y, AP




   C INTERFACE
       #include <sunperf.h>

       void sspr2(char uplo, int n, float alpha, float *x, int incx, float *y,
                 int incy, float *ap);

       void  sspr2_64(char  uplo,  long  n,  float alpha, float *x, long incx,
                 float *y, long incy, float *ap);



PURPOSE
       sspr2 performs the  symmetric  rank  2  operation  A  :=  alpha*x*y'  +
       alpha*y*x'  + 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.


ARGUMENTS
       UPLO (input)
                 On entry, UPLO specifies whether the upper or lower  triangu-
                 lar part of the matrix A is supplied in the packed array A as
                 follows:

                 UPLO = 'U' or 'u'   The upper triangular part of  A  is  sup-
                 plied in AP.

                 UPLO  =  'L'  or 'l'   The lower triangular part of A is sup-
                 plied in AP.

                 Unchanged on exit.


       N (input)
                 On entry, N specifies the order of the matrix  A.   N  >=  0.
                 Unchanged on exit.


       ALPHA (input)
                 On  entry,  ALPHA  specifies  the scalar alpha.  Unchanged on
                 exit.


       X (input)
                 Real array, dimension (1 + (n - 1)*abs(INCX))  Before  entry,
                 the  incremented array X must contain the n element vector x.
                 Unchanged on exit.


       INCX (input)
                 On entry, INCX specifies the increment for the elements of X.
                 INCX <> 0.  Unchanged on exit.


       Y (input)
                 Real  array,  dimension (1 + (n - 1)*abs(INCY)) Before entry,
                 the incremented array Y must contain the n element vector  y.
                 Unchanged on exit.


       INCY (input)
                 On entry, INCY specifies the increment for the elements of Y.
                 INCY <> 0.  Unchanged on exit.


       AP (input/output)
                 Real array, dimension (( n*(n  +  1))/2)  Before  entry  with
                 UPLO = 'U' or 'u', the array AP must contain the upper trian-
                 gular 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 A is overwritten by the upper tri-
                 angular 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.




                                  7 Nov 2015                         sspr2(3P)