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chfrk.f(3)				      LAPACK				       chfrk.f(3)

NAME
       chfrk.f -

SYNOPSIS
   Functions/Subroutines
       subroutine chfrk (TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
	   CHFRK performs a Hermitian rank-k operation for matrix in RFP format.

Function/Subroutine Documentation
   subroutine chfrk (characterTRANSR, characterUPLO, characterTRANS, integerN, integerK,
       realALPHA, complex, dimension( lda, * )A, integerLDA, realBETA, complex, dimension( * )C)
       CHFRK performs a Hermitian rank-k operation for matrix in RFP format.

       Purpose:

	    Level 3 BLAS like routine for C in RFP Format.

	    CHFRK performs one of the Hermitian rank--k operations

	       C := alpha*A*A**H + beta*C,

	    or

	       C := alpha*A**H*A + beta*C,

	    where alpha and beta are real scalars, C is an n--by--n Hermitian
	    matrix and A is an n--by--k matrix in the first case and a k--by--n
	    matrix in the second case.

       Parameters:
	   TRANSR

		     TRANSR is CHARACTER*1
		     = 'N':  The Normal Form of RFP A is stored;
		     = 'C':  The Conjugate-transpose Form of RFP A is stored.

	   UPLO

		     UPLO is CHARACTER*1
		      On  entry,   UPLO  specifies  whether  the  upper  or  lower
		      triangular  part	of the	array  C  is to be  referenced	as
		      follows:

			 UPLO = 'U' or 'u'   Only the  upper triangular part of  C
					     is to be referenced.

			 UPLO = 'L' or 'l'   Only the  lower triangular part of  C
					     is to be referenced.

		      Unchanged on exit.

	   TRANS

		     TRANS is CHARACTER*1
		      On entry,  TRANS	specifies the operation to be performed as
		      follows:

			 TRANS = 'N' or 'n'   C := alpha*A*A**H + beta*C.

			 TRANS = 'C' or 'c'   C := alpha*A**H*A + beta*C.

		      Unchanged on exit.

	   N

		     N is INTEGER
		      On entry,  N specifies the order of the matrix C.  N must be
		      at least zero.
		      Unchanged on exit.

	   K

		     K is INTEGER
		      On entry with  TRANS = 'N' or 'n',  K  specifies	the number
		      of  columns   of	the   matrix   A,   and  on   entry   with
		      TRANS = 'C' or 'c',  K  specifies  the number of rows of the
		      matrix A.  K must be at least zero.
		      Unchanged on exit.

	   ALPHA

		     ALPHA is REAL
		      On entry, ALPHA specifies the scalar alpha.
		      Unchanged on exit.

	   A

		     A is COMPLEX array, dimension (LDA,ka)
		      where KA
		      is K  when TRANS = 'N' or 'n', and is N otherwise. Before
		      entry with TRANS = 'N' or 'n', the leading N--by--K part of
		      the array A must contain the matrix A, otherwise the leading
		      K--by--N part of the array A must contain the matrix A.
		      Unchanged on exit.

	   LDA

		     LDA is INTEGER
		      On entry, LDA specifies the first dimension of A as declared
		      in  the  calling	(sub)  program.   When	TRANS = 'N' or 'n'
		      then  LDA must be at least  max( 1, n ), otherwise  LDA must
		      be at least  max( 1, k ).
		      Unchanged on exit.

	   BETA

		     BETA is REAL
		      On entry, BETA specifies the scalar beta.
		      Unchanged on exit.

	   C

		     C is COMPLEX array, dimension (N*(N+1)/2)
		      On entry, the matrix A in RFP Format. RFP Format is
		      described by TRANSR, UPLO and N. 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:
	   September 2012

       Definition at line 168 of file chfrk.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

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