Contents
cbcomm - block coordinate matrix-matrix multiply
SUBROUTINE CBCOMM( 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)
COMPLEX ALPHA, BETA
COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE CBCOMM_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)
COMPLEX ALPHA, BETA
COMPLEX 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
COMPLEX ALPHA, BETA
COMPLEX, DIMENSION(:) :: VAL
COMPLEX, 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
COMPLEX ALPHA, BETA
COMPLEX, DIMENSION(:) :: VAL
COMPLEX, DIMENSION(:, :) :: B, C
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)
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.
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