SRC/zhfrk.f(3)

NAME
SRC/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 (character transr, character uplo, character trans, integer n, integer k, double precision alpha, complex*16, dimension( lda, * ) a, integer lda, double precision beta, 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, 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.

Definition at line 166 of file zhfrk.f.

Author

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