zsp_blas3.c File Reference

Sparse BLAS3, using some dense BLAS3 operations. More...

`#include "slu_zdefs.h"`
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## Functions

int | sp_zgemm (char *transa, char *transb, int m, int n, int k, doublecomplex alpha, SuperMatrix *A, doublecomplex *b, int ldb, doublecomplex beta, doublecomplex *c, int ldc)

## Detailed Description

Copyright (c) 2003, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from U.S. Dept. of Energy)

All rights reserved.

The source code is distributed under BSD license, see the file License.txt at the top-level directory.

    – SuperLU routine (version 2.0) –
    Univ. of California Berkeley, Xerox Palo Alto Research Center,
    and Lawrence Berkeley National Lab.
    November 15, 1997

## Function Documentation

int sp_zgemm | ( | char * | transa,
|  | char * | transb,
|  | int | m,
|  | int | n,
|  | int | k,
|  | doublecomplex | alpha,
|  | SuperMatrix * | A,
|  | doublecomplex * | b,
|  | int | ldb,
|  | doublecomplex | beta,
|  | doublecomplex * | c,
|  | int | ldc
| ) |  |

#

    Purpose

      sp_z performs one of the matrix-matrix operations

         C := alpha*op( A )*op( B ) + beta*C,

      where  op( X ) is one of

         op( X ) = X   or   op( X ) = X'   or   op( X ) = conjg( X' ),

      alpha and beta are scalars, and A, B and C are matrices, with op( A )
      an m by k matrix,  op( B )  a  k by n matrix and  C an m by n matrix.

#

    Parameters

      TRANSA - (input) char*
               On entry, TRANSA specifies the form of op( A ) to be used in
               the matrix multiplication as follows:
                  TRANSA = 'N' or 'n',  op( A ) = A.
                  TRANSA = 'T' or 't',  op( A ) = A'.
                  TRANSA = 'C' or 'c',  op( A ) = conjg( A' ).
               Unchanged on exit.

      TRANSB - (input) char*
               On entry, TRANSB specifies the form of op( B ) to be used in
               the matrix multiplication as follows:
                  TRANSB = 'N' or 'n',  op( B ) = B.
                  TRANSB = 'T' or 't',  op( B ) = B'.
                  TRANSB = 'C' or 'c',  op( B ) = conjg( B' ).
               Unchanged on exit.

      M      - (input) int
               On entry,  M  specifies  the number of rows of the matrix
              op( A ) and of the matrix C.  M must be at least zero.
              Unchanged on exit.

      N      - (input) int
               On entry,  N specifies the number of columns of the matrix
              op( B ) and the number of columns of the matrix C. N must be
              at least zero.
              Unchanged on exit.

      K      - (input) int
               On entry, K specifies the number of columns of the matrix
              op( A ) and the number of rows of the matrix op( B ). K must
              be at least  zero.
              Unchanged on exit.

      ALPHA  - (input) doublecomplex
               On entry, ALPHA specifies the scalar alpha.

      A      - (input) SuperMatrix*
               Matrix A with a sparse format, of dimension (A->nrow, A->ncol).
               Currently, the type of A can be:
                   Stype = NC or NCP; Dtype = SLU_Z; Mtype = GE.
               In the future, more general A can be handled.

      B      - DOUBLE COMPLEX PRECISION array of DIMENSION ( LDB, kb ), where kb is
               n when TRANSB = 'N' or 'n',  and is  k otherwise.
               Before entry with  TRANSB = 'N' or 'n',  the leading k by n
               part of the array B must contain the matrix B, otherwise
               the leading n by k part of the array B must contain the
               matrix B.
               Unchanged on exit.

      LDB    - (input) int
               On entry, LDB specifies the first dimension of B as declared
               in the calling (sub) program. LDB must be at least max( 1, n ).
               Unchanged on exit.

      BETA   - (input) doublecomplex
               On entry, BETA specifies the scalar beta. When BETA is
               supplied as zero then C need not be set on input.

      C      - DOUBLE COMPLEX PRECISION array of DIMENSION ( LDC, n ).
               Before entry, the leading m by n part of the array C must
               contain the matrix C,  except when beta is zero, in which
               case C need not be set on entry.
               On exit, the array C is overwritten by the m by n matrix
              ( alpha*op( A )*B + beta*C ).

      LDC    - (input) int
               On entry, LDC specifies the first dimension of C as declared
               in the calling (sub)program. LDC must be at least max(1,m).
               Unchanged on exit.

      ==== Sparse Level 3 Blas routine.

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