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NAME
     zgemm - perform one of the matrix-matrix operations    C  :=
     alpha*op( A )*op( B ) + beta*C

SYNOPSIS
     SUBROUTINE ZGEMM ( TRANSA, TRANSB, M, N, K, ALPHA,  A,  LDA,
               B, LDB, BETA, C, LDC )

     CHARACTER*1 TRANSA, TRANSB

     INTEGER M, N, K, LDA, LDB, LDC

     COMPLEX*16 ALPHA, BETA

     COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )



     #include <sunperf.h>

     void zgemm(char transa, char transb, int m, int  n,  int  k,
               doublecomplex *zalpha, doublecomplex *za, int lda,
               doublecomplex *zb, int ldb, doublecomplex  *zbeta,
               doublecomplex *zc, int ldc);

PURPOSE
     ZGEMM  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 - CHARACTER*1.  On entry, TRANSA specifies  the  form
     of  op(  A ) to be used in the matrix multiplication as fol-
     lows:

     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 - 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'.

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

     Unchanged on exit.

     M         - 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.  Unchanged on exit.

     N         - 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.   Unchanged
               on exit.

     K         - 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.
               Unchanged on exit.

     ALPHA     - COMPLEX*16      .
               On  entry,  ALPHA  specifies  the  scalar   alpha.
               Unchanged on exit.

     A         - COMPLEX*16       array of DIMENSION ( LDA, ka ),
               where ka is
               k  when  TRANSA = 'N' or 'n',  and is   m   other-
               wise.   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.  Unchanged on exit.

     LDA       - 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 ).  Unchanged on exit.

     B         - COMPLEX*16       array of DIMENSION ( LDB, kb ),
               where kb is
               n  when  TRANSB = 'N' or 'n',  and is   k   other-
               wise.   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       - 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 ).  Unchanged on exit.

     BETA      - COMPLEX*16      .
               On entry,  BETA  specifies the scalar  beta.  When
               BETA   is  supplied as zero then C need not be set
               on input.  Unchanged on exit.

     C         - COMPLEX*16       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  )*op(  B  )  +
               beta*C ).

     LDC       - 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  ).   Unchanged
               on exit.

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