BLAS/SRC/cgemm.f(3)        Library Functions Manual        BLAS/SRC/cgemm.f(3)

NAME
       BLAS/SRC/cgemm.f

SYNOPSIS
   Functions/Subroutines
       subroutine cgemm (transa, transb, m, n, k, alpha, a, lda, b, ldb, beta,
           c, ldc)
           CGEMM

Function/Subroutine Documentation
   subroutine cgemm (character transa, character transb, integer m, integer n,
       integer k, complex alpha, complex, dimension(lda,*) a, integer lda,
       complex, dimension(ldb,*) b, integer ldb, complex beta, complex,
       dimension(ldc,*) c, integer ldc)
       CGEMM

       Purpose:


            CGEMM  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**T   or   op( X ) = X**H,

            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

                     TRANSA is CHARACTER*1
                      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**T.

                         TRANSA = 'C' or 'c',  op( A ) = A**H.

           TRANSB

                     TRANSB is CHARACTER*1
                      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**T.

                         TRANSB = 'C' or 'c',  op( B ) = B**H.

           M

                     M is INTEGER
                      On entry,  M  specifies  the number  of rows  of the  matrix
                      op( A )  and of the  matrix  C.  M  must  be at least  zero.

           N

                     N is INTEGER
                      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.

           K

                     K is INTEGER
                      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.

           ALPHA

                     ALPHA is COMPLEX
                      On entry, ALPHA specifies the scalar alpha.

           A

                     A is COMPLEX array, dimension ( LDA, ka ), where ka is
                      k  when  TRANSA = 'N' or 'n',  and is  m  otherwise.
                      Before entry with  TRANSA = 'N' or 'n',  the leading  m by k
                      part of the array  A  must contain the matrix  A,  otherwise
                      the leading  k by m  part of the array  A  must contain  the
                      matrix A.

           LDA

                     LDA is INTEGER
                      On entry, LDA specifies the first dimension of A as declared
                      in the calling (sub) program. When  TRANSA = 'N' or 'n' then
                      LDA must be at least  max( 1, m ), otherwise  LDA must be at
                      least  max( 1, k ).

           B

                     B is COMPLEX array, 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.

           LDB

                     LDB is INTEGER
                      On entry, LDB specifies the first dimension of B as declared
                      in the calling (sub) program. When  TRANSB = 'N' or 'n' then
                      LDB must be at least  max( 1, k ), otherwise  LDB must be at
                      least  max( 1, n ).

           BETA

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

           C

                     C is COMPLEX array, 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 )*op( B ) + beta*C ).

           LDC

                     LDC is INTEGER
                      On entry, LDC specifies the first dimension of C as declared
                      in  the  calling  (sub)  program.   LDC  must  be  at  least
                      max( 1, m ).

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Further Details:


             Level 3 Blas routine.

             -- Written on 8-February-1989.
                Jack Dongarra, Argonne National Laboratory.
                Iain Duff, AERE Harwell.
                Jeremy Du Croz, Numerical Algorithms Group Ltd.
                Sven Hammarling, Numerical Algorithms Group Ltd.

       Definition at line 186 of file cgemm.f.

Author
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LAPACK                          Version 3.12.0             BLAS/SRC/cgemm.f(3)