Contents


NAME

     sbcomm - block coordinate matrix-matrix multiply

SYNOPSIS

       SUBROUTINE SBCOMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
      *           VAL, BINDX, BJNDX, BNNZ, LB,
      *           B, LDB, BETA, C, LDC, WORK, LWORK )
       INTEGER    TRANSA, MB, N, KB, DESCRA(5), BNNZ, LB,
      *           LDB, LDC, LWORK
       INTEGER    BINDX(BNNZ), BJNDX(BNNZ)
       REAL       ALPHA, BETA
       REAL       VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

       SUBROUTINE SBCOMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA,
      *           VAL, BINDX, BJNDX, BNNZ, LB,
      *           B, LDB, BETA, C, LDC, WORK, LWORK )
       INTEGER*8  TRANSA, MB, N, KB, DESCRA(5), BNNZ, LB,
      *           LDB, LDC, LWORK
       INTEGER*8  BINDX(BNNZ), BJNDX(BNNZ)
       REAL       ALPHA, BETA
       REAL       VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

     F95 INTERFACE

        SUBROUTINE BCOMM(TRANSA,MB,N,KB,ALPHA,DESCRA,VAL,BINDX, BJNDX,
      *   BNNZ, LB, B, [LDB], BETA, C,[LDC], [WORK], [LWORK])
       INTEGER    TRANSA, MB, N, KB, BNNZ, LB
       INTEGER, DIMENSION(:) ::   DESCRA, BINDX, BJNDX
       REAL    ALPHA, BETA
       REAL, DIMENSION(:) :: VAL
       REAL, DIMENSION(:, :) ::  B, C

        SUBROUTINE BCOMM_64(TRANSA,MB,N,KB,ALPHA,DESCRA,VAL,BINDX, BJNDX,
      *   BNNZ, LB, B, [LDB], BETA, C,[LDC], [WORK], [LWORK])
       INTEGER*8    TRANSA, MB, N, KB, BNNZ, LB
       INTEGER*8, DIMENSION(:) ::  DESCRA,  BINDX, BJNDX
       REAL    ALPHA, BETA
       REAL, DIMENSION(:) :: VAL
       REAL, DIMENSION(:, :) ::  B, C

DESCRIPTION

               C <- alpha op(A) B + beta C

      where ALPHA and BETA are scalar, C and B are dense matrices,
      A is a matrix represented in block coordinate format and
      op( A )  is one  of

      op( A ) = A   or   op( A ) = A'   or   op( A ) = conjg( A' ).
                                         ( ' indicates matrix transpose)

ARGUMENTS

      TRANSA        Indicates how to operate with the sparse matrix
                      0 : operate with matrix
                      1 : operate with transpose matrix
                      2 : operate with the conjugate transpose of matrix.
                          2 is equivalent to 1 if the matrix is real.

      MB            Number of block rows in matrix A

      N             Number of columns in matrix C

      KB            Number of block columns in matrix A

      ALPHA         Scalar parameter

      DESCRA()      Descriptor argument.  Five element integer array
                    DESCRA(1) matrix structure
                      0 : general
                      1 : symmetric (A=A')
                      2 : Hermitian (A= CONJG(A'))
                      3 : Triangular
                      4 : Skew(Anti)-Symmetric (A=-A')
                      5 : Diagonal
                      6 : Skew-Hermitian (A= -CONJG(A'))
                    DESCRA(2) upper/lower triangular indicator
                      1 : lower
                      2 : upper
                    DESCRA(3) main diagonal type
                      0 : non-unit
                      1 : unit
                    DESCRA(4) Array base  (NOT IMPLEMENTED)
                      0 : C/C++ compatible
                      1 : Fortran compatible
                    DESCRA(5) repeated indices? (NOT IMPLEMENTED)
                      0 : unknown
                      1 : no repeated indices

      VAL()         scalar array of length LB*LB*BNNZ consisting of
                    the non-zero block entries of A, in any order.
                    Each block is stored in standard column-major form.

      BINDX()       integer array of length BNNZ consisting of the
                    block row indices of the block entries of A.

      BJNDX()       integer array of length BNNZ consisting of the
                    block column indices of the block entries of A.

      BNNZ          number of block entries

      LB            dimension of dense blocks composing A.

      B()           rectangular array with first dimension LDB.
      LDB           leading dimension of B

      BETA          Scalar parameter

      C()           rectangular array with first dimension LDC.

      LDC           leading dimension of C

      WORK()        scratch array of length LWORK. WORK is not
                    referenced in the current version.

      LWORK         length of WORK array. LWORK is not referenced
                    in the current version.

SEE ALSO

     NIST FORTRAN Sparse Blas User's Guide available at:

     http://math.nist.gov/mcsd/Staff/KRemington/fspblas/

     "Document for the Basic Linear Algebra Subprograms (BLAS)
     Standard", University of Tennessee, Knoxville, Tennessee,
     1996:

     http://www.netlib.org/utk/papers/sparse.ps