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cbelmm(3P)		    Sun Performance Library		    cbelmm(3P)

NAME
       cbelmm - block Ellpack format matrix-matrix multiply

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

	SUBROUTINE CBELMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA,
       *	   VAL, BINDX, BLDA, MAXBNZ, LB,
       *	   B, LDB, BETA, C, LDC, WORK, LWORK )
	INTEGER*8  TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
       *	   LDB, LDC, LWORK
	INTEGER*8  BINDX(BLDA,MAXBNZ)
	COMPLEX	   ALPHA, BETA
	COMPLEX	   VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

   F95 INTERFACE
	SUBROUTINE BELMM( TRANSA, MB, [N], KB, ALPHA, DESCRA, VAL, BINDX,
       *	   BLDA, MAXBNZ, LB, B, [LDB], BETA, C,[LDC], [WORK], [LWORK])
	INTEGER	   TRANSA, MB, KB, BLDA, MAXBNZ, LB
	INTEGER, DIMENSION(:) ::    DESCRA, BINDX
	COMPLEX	   ALPHA, BETA
	COMPLEX, DIMENSION(:) :: VAL
	COMPLEX, DIMENSION(:, :) ::  B, C

	SUBROUTINE BELMM_64( TRANSA, MB, [N], KB, ALPHA, DESCRA, VAL, BINDX,
       *	   BLDA, MAXBNZ, LB, B, [LDB], BETA, C,[LDC], [WORK], [LWORK])
	INTEGER*8    TRANSA, MB, KB, BLDA, MAXBNZ, LB
	INTEGER*8, DIMENSION(:) ::    DESCRA, BINDX
	COMPLEX	   ALPHA, BETA
	COMPLEX, DIMENSION(:) :: VAL
	COMPLEX, DIMENSION(:, :) ::  B, C

   C INTERFACE
       #include <sunperf.h>

       void cbelmm (const int transa, const int mb, const int n, const int kb,
		 const floatcomplex* alpha, const int* descra, const floatcom‐
		 plex* val, const int* bindx, const int blda, const int
		 maxbnz, const int lb, const floatcomplex* b, const int ldb,
		 const floatcomplex* beta, floatcomplex* c, const int ldc);

       void cbelmm_64 (const long transa, const long mb, const long n, const
		 long kb, const floatcomplex* alpha, const long* descra, const
		 floatcomplex* val, const long* bindx, const long blda, const
		 long maxbnz, const long lb, const floatcomplex* b, const long
		 ldb, const floatcomplex* beta, floatcomplex* c, const long
		 ldc);

DESCRIPTION
       cbelmm performs one of the matrix-matrix operations

		C <- alpha op(A) B + beta C

       where alpha and beta are scalars, C and B are dense matrices,
       A is an (mb*lb) by (kb*lb) sparse matrix represented in the
       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(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.

       MB(input)       On entry,  MB  specifies the number of block 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.

       KB(input)       On entry, KB specifies the number of block 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 block 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 LB*LB*BLDA-by-MAXBNZ
		       array consisting of the non-zero blocks, stored
		       column-major within each dense block. Unchanged on exit.

       BINDX(input)    On entry, BINDX is an integer two-dimensional BLDA-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. Unchanged on exit.

       BLDA(input)     On entry, BLDA specifies the leading dimension of BINDX(:,:).
		       Unchanged on exit.

       MAXBNZ (input)  On entry, MAXBNZ specifies the max number of nonzeros
		       blocks per row. Unchanged on exit.

       LB (input)      On entry, LB specifies the dimension of dense blocks
		       composing A.  Unchanged on exit.

       B (input)       Array of DIMENSION ( LDB, N ).
		       Before entry with  TRANSA = 0,  the leading  kb*lb by n
		       part of the array  B  must contain the matrix  B,  otherwise
		       the leading  mb*lb 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  mb*lb by n
		       part of the array  C  must contain the matrix C,	 otherwise
		       the leading  kb*lb 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 complex matrix A for com‐
       puting matrix-matrix multiply for another sparse matrix composed by
       block triangles and/or the main block diagonal of A. The full descrip‐
       tion of the feature for block entry formats is given in section
       NOTES/BUGS for the cbcomm manpage.

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