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dellmm(3P)		    Sun Performance Library		    dellmm(3P)

NAME
       dellmm - Ellpack format matrix-matrix multiply

SYNOPSIS
	SUBROUTINE DELLMM( 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 PRECISION ALPHA, BETA
	DOUBLE PRECISION VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

	SUBROUTINE DELLMM_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 PRECISION ALPHA, BETA
	DOUBLE PRECISION 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 PRECISION    ALPHA, BETA
	DOUBLE PRECISION, 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 PRECISION    ALPHA, BETA
	DOUBLE PRECISION, DIMENSION(:, :) ::  VAL, B, C

   C INTERFACE
       #include <sunperf.h>

       void dellmm (const int transa, const int m, const int n, const int k,
		 const double alpha, const int* descra, const double* val,
		 const int* indx, const int lda, const int maxnz, const dou‐
		 ble* b, const int ldb, const double beta, double* c, const
		 int ldc);

       void dellmm_64 (const long transa, const long m, const long n, const
		 long k, const double alpha, const long* descra, const double*
		 val, const long* indx, const long lda, const long maxnz,
		 const double* b, const long ldb, const double beta, double*
		 c, const long ldc);

DESCRIPTION
       dellmm 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.

ARGUMENTS
       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)

SEE ALSO
       Libsunperf  SPARSE BLAS is fully parallel and compatible with NIST FOR‐
       TRAN 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  trian‐
       gles and/or the main diagonal of A. The full description of the feature
       for point entry formats is given in section NOTES/BUGS for the scoomm
       manpage.

3rd Berkeley Distribution	  6 Mar 2009			    dellmm(3P)
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