Contents
zellmm - Ellpack format matrix-matrix multiply
SUBROUTINE ZELLMM( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, INDX, LDA, MAXNZ,
* B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER TRANSA, M, N, K, DESCRA(5), LDA, MAXNZ,
* LDB, LDC, LWORK
INTEGER INDX(LDA,MAXNZ)
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE ZELLMM_64( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, INDX, LDA, MAXNZ,
* B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER*8 TRANSA, M, N, K, DESCRA(5), LDA, MAXNZ,
* LDB, LDC, LWORK
INTEGER*8 INDX(LDA,MAXNZ)
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE ELLMM( TRANSA, M, [N], K, ALPHA, DESCRA, VAL, INDX,
* [LDA], MAXNZ, B, [LDB], BETA, C, [LDC], [WORK], [LWORK])
INTEGER TRANSA, M, K, MAXNZ
INTEGER, DIMENSION(:) :: DESCRA
INTEGER, DIMENSION(:, :) :: INDX
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX, DIMENSION(:, :) :: VAL, B, C
SUBROUTINE ELLMM_64( TRANSA, M, [N], K, ALPHA, DESCRA, VAL, INDX,
* [LDA], MAXNZ, B, [LDB], BETA, C, [LDC], [WORK], [LWORK])
INTEGER*8 TRANSA, M, K, MAXNZ
INTEGER*8, DIMENSION(:) :: DESCRA
INTEGER*8, DIMENSION(:, :) :: INDX
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX, DIMENSION(:, :) :: VAL, B, C
C INTERFACE
#include <sunperf.h>
void zellmm (int transa, int m, int n, int k, doublecomplex
*alpha, int *descra, doublecomplex *val, int *indx, int lda,
int maxnz, doublecomplex *b, int ldb, doublecomplex *beta,
doublecomplex *c, int ldc);
void zellmm_64 (long transa, long m, long n, long k,
doublecomplex *alpha, long *descra, doublecomplex *val, long
*indx, long lda, long maxnz, doublecomplex *b, long ldb,
doublecomplex *beta, doublecomplex *c, long ldc);
zellmm performs one of the matrix-matrix operations
C <- alpha op(A) B + beta C
where op( A ) is one of
op( A ) = A or op( A ) = A' or op( A ) = conjg( A' )
( ' indicates matrix transpose),
A is an M-by-K sparse matrix represented in the ellpack format,
alpha and beta are scalars, C and B are dense matrices.
TRANSA(input) TRANSA specifies the form of op( A ) to be used in
the matrix multiplication as follows:
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.
Unchanged on exit.
M(input) On entry, M specifies the number of rows in
the matrix A. Unchanged on exit.
N(input) On entry, N specifies the number of columns in
the matrix C. Unchanged on exit.
K(input) On entry, K specifies the number of columns
in the matrix A. Unchanged on exit.
ALPHA(input) On entry, ALPHA specifies the scalar alpha. Unchanged on exit.
DESCRA (input) 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(input) On entry, VAL is a two-dimensional LDA-by-MAXNZ array
such that VAL(I,:) consists of non-zero elements
in row I of A, padded by zero values if the row
contains less than MAXNZ. Unchanged on exit.
INDX(input) On entry, INDX is an integer two-dimensional
LDA-by-MAXNZ array such that INDX(I,:)
consists of the column indices of the
nonzero elements in row I, padded by the integer
value I if the number of nonzeros is less than
MAXNZ. Unchanged on exit.
LDA(input) On entry, LDA specifies the leading dimension of VAL
and INDX. Unchanged on exit.
MAXNZ(input) On entry, MAXNZ specifies the max number of
nonzeros elements per row. Unchanged on exit.
B (input) Array of DIMENSION ( LDB, N ).
Before entry with TRANSA = 0, the leading k by n
part of the array B must contain the matrix B, otherwise
the leading m by n part of the array B must contain the
matrix B. Unchanged on exit.
LDB (input) On entry, LDB specifies the first dimension of B as declared
in the calling (sub) program. Unchanged on exit.
BETA (input) On entry, BETA specifies the scalar beta. Unchanged on exit.
C(input/output) Array of DIMENSION ( LDC, N ).
Before entry with TRANSA = 0, the leading m by n
part of the array C must contain the matrix C, otherwise
the leading k by n part of the array C must contain the
matrix C. On exit, the array C is overwritten by the matrix
( alpha*op( A )* B + beta*C ).
LDC (input) On entry, LDC specifies the first dimension of C as declared
in the calling (sub) program. Unchanged on exit.
WORK (is not referenced in the current version)
LWORK (is not referenced in the current version)
Libsunperf SPARSE BLAS is fully parallel and compatible
with NIST FORTRAN Sparse Blas but the sources are different.
Libsunperf SPARSE BLAS is free of bugs found in NIST FORTRAN
Sparse Blas. Besides several new features and routines are
implemented.
NIST FORTRAN Sparse Blas User's Guide available at:
http://math.nist.gov/mcsd/Staff/KRemington/fspblas/
Based on the standard proposed in
"Document for the Basic Linear Algebra Subprograms (BLAS)
Standard", University of Tennessee, Knoxville, Tennessee,
1996:
http://www.netlib.org/utk/papers/sparse.ps
The routine is designed so that it provides a possibility to
use just one sparse matrix representation of a general
matrix A for computing matrix-matrix multiply for another
sparse matrix composed by triangles and/or the main
diagonal of A. The full description of the feature for point
entry formats in the case of complex matrices is given in
section NOTES/BUGS for the ccoomm manpage.