SRC/dsfrk.f(3)

NAME
SRC/dsfrk.f

SYNOPSIS

  Functions/Subroutines
subroutine dsfrk (transr, uplo, trans, n, k, alpha, a, lda, beta, c)
DSFRK performs a symmetric rank-k operation for matrix in RFP format.

Function/Subroutine Documentation

  subroutine dsfrk (character transr, character uplo, character trans, integer n, integer k, double precision alpha, double precision, dimension( lda, * ) a, integer lda, double precision beta, double precision, dimension( * ) c)

DSFRK performs a symmetric rank-k operation for matrix in RFP format.

Purpose:

     Level 3 BLAS like routine for C in RFP Format.
     DSFRK performs one of the symmetric rank--k operations
        C := alpha*A*A**T + beta*C,
     or
        C := alpha*A**T*A + beta*C,
     where alpha and beta are real scalars, C is an n--by--n symmetric
     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;
              = 'T':  The 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**T + beta*C.
                  TRANS = 'T' or 't'   C := alpha*A**T*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 = 'T'
               or 't', 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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (NT)
               NT = N*(N+1)/2. On entry, the symmetric matrix C in RFP
               Format. RFP Format is described by TRANSR, UPLO and N.

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 164 of file dsfrk.f.

Author

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