Contents


NAME

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

SYNOPSIS

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

     CHARACTER * 1 TRANSA, TRANSB
     COMPLEX ALPHA, BETA
     COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
     INTEGER M, N, K, LDA, LDB, LDC

     SUBROUTINE CGEMM_64(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB,
           BETA, C, LDC)

     CHARACTER * 1 TRANSA, TRANSB
     COMPLEX ALPHA, BETA
     COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)
     INTEGER*8 M, N, K, LDA, LDB, LDC

  F95 INTERFACE
     SUBROUTINE GEMM([TRANSA], [TRANSB], [M], [N], [K], ALPHA, A, [LDA],
            B, [LDB], BETA, C, [LDC])

     CHARACTER(LEN=1) :: TRANSA, TRANSB
     COMPLEX :: ALPHA, BETA
     COMPLEX, DIMENSION(:,:) :: A, B, C
     INTEGER :: M, N, K, LDA, LDB, LDC

     SUBROUTINE GEMM_64([TRANSA], [TRANSB], [M], [N], [K], ALPHA, A, [LDA],
            B, [LDB], BETA, C, [LDC])

     CHARACTER(LEN=1) :: TRANSA, TRANSB
     COMPLEX :: ALPHA, BETA
     COMPLEX, DIMENSION(:,:) :: A, B, C
     INTEGER(8) :: M, N, K, LDA, LDB, LDC

  C INTERFACE
     #include <sunperf.h>

     void cgemm(char transa, char transb, int m, int  n,  int  k,
               complex  *alpha,  complex *a, int lda, complex *b,
               int ldb, complex *beta, complex *c, int ldc);

     void cgemm_64(char transa, char transb, long m, long n, long
               k,  complex  *alpha, complex *a, long lda, complex
               *b, long ldb,  complex  *beta,  complex  *c,  long
               ldc);

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'   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.

ARGUMENTS

     TRANSA (input)
               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.

               TRANSA is defaulted to 'N' for F95 INTERFACE.

     TRANSB (input)
               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.

               TRANSB is defaulted to 'N' for F95 INTERFACE.

     M (input)
               On entry,  M  specifies  the number  of  rows   of
               the   matrix op( A )  and of the  matrix  C.  M >=
               0.  Unchanged on exit.

     N (input)
               On entry,  N  specifies the number  of columns  of
               the  matrix  op(  B ) and the number of columns of
               the matrix C. N >= 0.  Unchanged on exit.

     K (input)
               On entry,  K  specifies  the number of columns  of
               the  matrix  op( A ) and the number of rows of the
               matrix op( B ). K >= 0.  Unchanged on exit.

     ALPHA (input)
               On  entry,  ALPHA  specifies  the  scalar   alpha.
               Unchanged on exit.

     A (input)
               COMPLEX array of 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.  Unchanged on exit.

     LDA (input)
               On entry, LDA specifies the first dimension  of  A
               as  declared  in  the  calling (sub) program. When
               TRANSA = 'N' or 'n' then LDA >= max(1, M),  other-
               wise LDA >= max(1, K).  Unchanged on exit.

     B (input)
               COMPLEX array of DIMENSION ( LDB, kb ),  where  kb
               is  n  when  TRANSB = 'N' or 'n',  and is  k  oth-
               erwise.  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)
               On entry, LDB specifies the first dimension  of  B
               as  declared  in  the  calling (sub) program. When
               TRANSB = 'N' or 'n' then LDB >= max( 1, k ),  oth-
               erwise  LDB >= max( 1, n ).  Unchanged on exit.
     BETA (input)
               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 (input/output)
               COMPLEX 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 (input)
               On entry, LDC specifies the first dimension  of  C
               as  declared  in   the   calling   (sub)  program.
               LDC >= max( 1, m ).  Unchanged on exit.