zhpr (3p)

Name

zhpr - perform the hermitian rank 1 operation A := alpha*x*conjg( x' ) + A

Synopsis

SUBROUTINE ZHPR(UPLO, N, ALPHA, X, INCX, A)

CHARACTER*1 UPLO
DOUBLE COMPLEX X(*), A(*)
INTEGER N, INCX
DOUBLE PRECISION ALPHA

SUBROUTINE ZHPR_64(UPLO, N, ALPHA, X, INCX, A)

CHARACTER*1 UPLO
DOUBLE COMPLEX X(*), A(*)
INTEGER*8 N, INCX
DOUBLE PRECISION ALPHA




F95 INTERFACE
SUBROUTINE HPR(UPLO, N, ALPHA, X, INCX, A)

CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:) :: X, A
INTEGER :: N, INCX
REAL(8) :: ALPHA

SUBROUTINE HPR_64(UPLO, N, ALPHA, X, INCX, A)

CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:) :: X, A
INTEGER(8) :: N, INCX
REAL(8) :: ALPHA




C INTERFACE
#include <sunperf.h>

void zhpr(char uplo, int n, double alpha, doublecomplex *x,  int  incx,
doublecomplex *a);

void  zhpr_64(char  uplo,  long n, double alpha, doublecomplex *x, long
incx, doublecomplex *a);

Description

Oracle Solaris Studio Performance Library                             zhpr(3P)



NAME
       zhpr  - perform the hermitian rank 1 operation   A := alpha*x*conjg( x'
       ) + A


SYNOPSIS
       SUBROUTINE ZHPR(UPLO, N, ALPHA, X, INCX, A)

       CHARACTER*1 UPLO
       DOUBLE COMPLEX X(*), A(*)
       INTEGER N, INCX
       DOUBLE PRECISION ALPHA

       SUBROUTINE ZHPR_64(UPLO, N, ALPHA, X, INCX, A)

       CHARACTER*1 UPLO
       DOUBLE COMPLEX X(*), A(*)
       INTEGER*8 N, INCX
       DOUBLE PRECISION ALPHA




   F95 INTERFACE
       SUBROUTINE HPR(UPLO, N, ALPHA, X, INCX, A)

       CHARACTER(LEN=1) :: UPLO
       COMPLEX(8), DIMENSION(:) :: X, A
       INTEGER :: N, INCX
       REAL(8) :: ALPHA

       SUBROUTINE HPR_64(UPLO, N, ALPHA, X, INCX, A)

       CHARACTER(LEN=1) :: UPLO
       COMPLEX(8), DIMENSION(:) :: X, A
       INTEGER(8) :: N, INCX
       REAL(8) :: ALPHA




   C INTERFACE
       #include <sunperf.h>

       void zhpr(char uplo, int n, double alpha, doublecomplex *x,  int  incx,
                 doublecomplex *a);

       void  zhpr_64(char  uplo,  long n, double alpha, doublecomplex *x, long
                 incx, doublecomplex *a);



PURPOSE
       zhpr performs the hermitian rank 1 operation A := alpha*x*conjg( x' ) +
       A  where alpha is a real scalar, x is an n element vector 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 A as
                 follows:

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

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

                 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.


       A (input/output)
                 ( ( n*( n + 1 ) )/2 ).  Before entry with  UPLO = 'U' or 'u',
                 the array A must contain the upper  triangular  part  of  the
                 hermitian  matrix  packed  sequentially, column by column, so
                 that A( 1 ) contains a( 1, 1 ), A( 2 ) and A( 3 ) contain  a(
                 1,  2  )  and a( 2, 2 ) respectively, and so on. On exit, the
                 array A is overwritten by the upper triangular  part  of  the
                 updated  matrix.   Before  entry  with UPLO = 'L' or 'l', the
                 array A must contain the lower triangular part of the  hermi-
                 tian matrix packed sequentially, column by column, so that A(
                 1 ) contains a( 1, 1 ), A( 2 ) and A( 3 ) contain a( 2,  1  )
                 and  a(  3, 1 ) respectively, and so on. On exit, the array A
                 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                          zhpr(3P)