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zbcomm(3P)		    Sun Performance Library		    zbcomm(3P)

NAME
       zbcomm - block coordinate matrix-matrix multiply

SYNOPSIS
	SUBROUTINE ZBCOMM( 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)
	DOUBLE COMPLEX ALPHA, BETA
	DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK)

	SUBROUTINE ZBCOMM_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)
	DOUBLE COMPLEX ALPHA, BETA
	DOUBLE 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
	DOUBLE COMPLEX	  ALPHA, BETA
	DOUBLE COMPLEX, DIMENSION(:) :: VAL
	DOUBLE 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
	DOUBLE COMPLEX	  ALPHA, BETA
	DOUBLE COMPLEX, DIMENSION(:) :: VAL
	DOUBLE COMPLEX, DIMENSION(:, :) ::  B, C

   C INTERFACE
       #include <sunperf.h>

       void zbcomm (const int transa, const int mb, const int n, const int kb,
		 const doublecomplex* alpha, const int* descra, const double‐
		 complex* val, const int* bindx, const int* bjndx, const int
		 bnnz, const int lb, const doublecomplex* b, const int ldb,
		 const doublecomplex* beta, doublecomplex* c, const int ldc);

       void zbcomm_64 (const long transa, const long mb, const long n, const
		 long kb, const doublecomplex* alpha, const long* descra,
		 const doublecomplex* val, const long* bindx, const long*
		 bjndx, const long bnnz, const long lb, const doublecomplex*
		 b, const long ldb, const doublecomplex* beta, doublecomplex*
		 c, const long ldc);

DESCRIPTION
       cbcomm 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 (mb*lb) by (kb*lb) sparse matrix represented in the block
       coordinate 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.

       MB(input)       On entry,  MB  specifies the number of block rows
		       in matrix A. Unchanged on exit.

       N(input)	       On entry,  N specifies the number of columns in matrix C.
		       Unchanged on exit.

       KB(input)       On entry, KB specifies the number of block columns in
		       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,  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.
		       Unchanged on exit.

       BINDX(input)    On entry, integer array of length BNNZ consisting of the
		       block row indices of the non-zero block entries of A.
		       Unchanged on exit.

       BJNDX(input)    On entry, integer array of length BNNZ consisting of the
		       block column indices of the non-zero block entries of A.
		       Unchanged on exit.

       BNNZ (input)    On entry, BNNZ specifies the number of nonzero block
		       entries in A. 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			    zbcomm(3P)
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