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zhpr.f(3)				      LAPACK					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
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012				zhpr.f(3)
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