NAME

       zhfrk.f -

SYNOPSIS

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

Function/Subroutine Documentation

   subroutine zhfrk (characterTRANSR, characterUPLO, characterTRANS, integerN, integerK, double
       precisionALPHA, complex*16, dimension( lda, * )A, integerLDA, double precisionBETA,
       complex*16, dimension( * )C)
       ZHFRK performs a Hermitian rank-k operation for matrix in RFP format.

       Purpose:

            Level 3 BLAS like routine for C in RFP Format.

            ZHFRK 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 DOUBLE PRECISION
                      On entry, ALPHA specifies the scalar alpha.
                      Unchanged on exit.

           A

                     A is COMPLEX*16 array of 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 DOUBLE PRECISION
                      On entry, BETA specifies the scalar beta.
                      Unchanged on exit.

           C

                     C is COMPLEX*16 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 zhfrk.f.

Author

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