NAME

belmm, sbelmm, dbelmm, cbelmm, zbelmm - block Ellpack format matrix-matrix multiply

SYNOPSIS

  SUBROUTINE SBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
 *           VAL, BINDX, BLDA, MAXBNZ, LB,
 *           B, LDB, BETA, C, LDC, WORK, LWORK )
  INTEGER*4  TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
 *           LDB, LDC, LWORK
  INTEGER*4  BINDX(BLDA,MAXBNZ)
  REAL*4     ALPHA, BETA
  REAL*4     VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

  SUBROUTINE DBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
 *           VAL, BINDX, BLDA, MAXBNZ, LB,
 *           B, LDB, BETA, C, LDC, WORK, LWORK)
  INTEGER*4  TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
 *           LDB, LDC, LWORK
  INTEGER*4  BINDX(BLDA,MAXBNZ)
  REAL*8     ALPHA, BETA
  REAL*8     VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

  SUBROUTINE CBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
 *           VAL, BINDX, BLDA, MAXBNZ, LB,
 *           B, LDB, BETA, C, LDC, WORK, LWORK )
  INTEGER*4  TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
 *           LDB, LDC, LWORK
  INTEGER*4  BINDX(BLDA,MAXBNZ)
  COMPLEX*8  ALPHA, BETA
  COMPLEX*8  VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

  SUBROUTINE ZBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
 *           VAL, BINDX, BLDA, MAXBNZ, LB,
 *           B, LDB, BETA, C, LDC, WORK, LWORK)
  INTEGER*4  TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
 *           LDB, LDC, LWORK
  INTEGER*4  BINDX(BLDA,MAXBNZ)
  COMPLEX*16 ALPHA, BETA
  COMPLEX*16 VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

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 Ellpack 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 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*BLDA*MAXBNZ containing 
               matrix entries, stored column-major within each dense 
               block.

 BINDX()       two-dimensional integer BLDA-by-MAXBNZ array such 
               BINDX(i,:) consists of the block column indices of the 
               nonzero blocks in block row i, padded by the integer 
               value i if the number of nonzero blocks is less than 
               MAXBNZ.

 BLDA          leading dimension of BINDX(:,:).

 MAXBNZ        max number of nonzeros blocks per row.

 LB            row and column dimension of the dense blocks composing 
               VAL.

 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.

NAME

SYNOPSIS

DESCRIPTION

ARGUMENTS

SEE ALSO