SRC/dsfrk.f(3)             Library Functions Manual             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
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                  SRC/dsfrk.f(3)