bdimm, sbdimm, dbdimm, cbdimm, zbdimm - block diagonal format matrix-matrix multiply
SUBROUTINE SBDIMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BLDA, IBDIAG, NBDIAG, LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*4 TRANSA, MB, N, KB, DESCRA(5), BLDA, NBDIAG, LB, * LDB, LDC, LWORK INTEGER*4 IBDIAG(NBDIAG) REAL*4 ALPHA, BETA REAL*4 VAL(LB*LB*BLDA*NBDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE DBDIMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BLDA, IBDIAG, NBDIAG, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*4 TRANSA, MB, N, KB, DESCRA(5), BLDA, NBDIAG, LB, * LDB, LDC, LWORK INTEGER*4 IBDIAG(NBDIAG) REAL*8 ALPHA, BETA REAL*8 VAL(LB*LB*BLDA*NBDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE CBDIMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BLDA, IBDIAG, NBDIAG, LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*4 TRANSA, MB, N, KB, DESCRA(5), BLDA, NBDIAG, LB, * LDB, LDC, LWORK INTEGER*4 IBDIAG(NBDIAG) COMPLEX*8 ALPHA, BETA COMPLEX*8 VAL(LB*LB*BLDA*NBDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE ZBDIMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BLDA, IBDIAG, NBDIAG, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*4 TRANSA, MB, N, KB, DESCRA(5), BLDA, NBDIAG, LB, * LDB, LDC, LWORK INTEGER*4 IBDIAG(NBDIAG) COMPLEX*16 ALPHA, BETA COMPLEX*16 VAL(LB*LB*BLDA*NBDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
=head1 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 diagonal 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 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() two-dimensional LB*LB*BLDA-by-NBDIAG scalar array
consisting of the NBDIAG nonzero block diagonal in
any order. Each dense block is stored in standard
column-major form.
BLDA leading block dimension of VAL().
IBDIAG() integer array of length NBDIAG consisting of the
corresponding diagonal offsets of the non-zero
block diagonals of A in VAL. Lower triangular
block diagonals have negative offsets, the main
block diagonal has offset 0, and upper triangular
block diagonals have positive offset.
NBDIAG the number of non-zero block diagonals in A.
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: