chpr2 (3p)

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)

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

SUBROUTINE CHPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

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




F95 INTERFACE
SUBROUTINE HPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

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

SUBROUTINE HPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

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




C INTERFACE
#include <sunperf.h>

void chpr2(char uplo, int n, complex *alpha, complex *x, int incx, com-
plex *y, int incy, complex *ap);

void chpr2_64(char uplo, long n, complex *alpha, complex *x, long incx,
complex *y, long incy, complex *ap);

Description

Oracle Solaris Studio Performance Library                            chpr2(3P)



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)

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

       SUBROUTINE CHPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

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




   F95 INTERFACE
       SUBROUTINE HPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

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

       SUBROUTINE HPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP)

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




   C INTERFACE
       #include <sunperf.h>

       void chpr2(char uplo, int n, complex *alpha, complex *x, int incx, com-
                 plex *y, int incy, complex *ap);

       void chpr2_64(char uplo, long n, complex *alpha, complex *x, long incx,
                 complex *y, long incy, complex *ap);



PURPOSE
       chpr2 performs the Hermitian rank 2 operation A := alpha*x*conjg( y'  )
       + conjg( alpha )*y*conjg( x' ) + A 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.


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  AP
                 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)
                 ( 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)
                 ( 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)
                 ( ( 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, 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 hermi-
                 tian  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 ele-
                 ments need not be set, they are assumed to be  zero,  and  on
                 exit they are set to zero.




                                  7 Nov 2015                         chpr2(3P)