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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