zhpr.f(3)

NAME
zhpr.f -

SYNOPSIS

  Functions/Subroutines
subroutine ZHPR (UPLO, N, ALPHA, X, INCX, AP)
ZHPR

Function/Subroutine Documentation

  subroutine ZHPR (CHARACTERUPLO, INTEGERN, DOUBLE PRECISIONALPHA, COMPLEX*16, dimension(*)X, INTEGERINCX, COMPLEX*16, dimension(*)AP)

ZHPR Purpose:

     ZHPR    performs the hermitian rank 1 operation
        A := alpha*x*x**H + 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

              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.

    N

              N is INTEGER
               On entry, N specifies the order of the matrix A.
               N must be at least zero.

    ALPHA

              ALPHA is DOUBLE PRECISION.
               On entry, ALPHA specifies the scalar alpha.

    X

              X is 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.

    INCX

              INCX is INTEGER
               On entry, INCX specifies the increment for the elements of
               X. INCX must not be zero.

    AP

              AP is 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 elements need
               not be set, they are assumed to be zero, and on exit they
               are set to zero.

Author:
    Univ'. of Tennessee

    Univ'. of California Berkeley

    Univ'. of Colorado Denver

    NAG Ltd'.

Date:
    November 2011

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.

Definition at line 131 of file zhpr.f'.

Author

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