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zhpr (3)
  • >> zhpr (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zhpr  -  perform  the  hermitian  rank  1  operation  A   :=
         alpha*x*conjg( x' ) + A
    
    SYNOPSIS
         SUBROUTINE ZHPR ( UPLO, N, ALPHA, X, INCX, AP )
    
         DOUBLE PRECISION ALPHA
    
         INTEGER INCX, N
    
         CHARACTER*1 UPLO
    
         COMPLEX*16 AP( * ), X( * )
    
    
    
         #include <sunperf.h>
    
         void zhpr(char uplo, int n,  double  *dalpha,  doublecomplex
                   *zx, int incx, doublecomplex *ap) ;
    
    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.
    
    
    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     - DOUBLE PRECISION.
                   On  entry,  ALPHA  specifies  the  scalar   alpha.
                   Unchanged on exit.
    
         X         - COMPLEX*16       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        - COMPLEX*16       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  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 hermitian
                   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.
    
    
    
    


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