dsfrk.f(3)

NAME
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 (characterTRANSR, characterUPLO, characterTRANS, integerN, integerK, double precisionALPHA, double precision, dimension( lda, * )A, integerLDA, double precisionBETA, 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.

Date:
    September 2012

Definition at line 166 of file dsfrk.f.

Author

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