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RedHat 9 (Linux i386) - man page for sgemm (redhat section l)

SGEMM(l)				   BLAS routine 				 SGEMM(l)

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

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

	   CHARACTER*1	TRANSA, TRANSB

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

	   REAL 	ALPHA, BETA

	   REAL 	A( LDA, * ), B( LDB, * ), C( LDC, * )

PURPOSE
       SGEMM  performs one of the matrix-matrix operations

       where  op( X ) is one of

	  op( X ) = X	or   op( X ) = 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 follows:

       TRANSA = 'N' or 'n',  op( A ) = A.

       TRANSA = 'T' or 't',  op( A ) = A'.

       TRANSA = 'C' or 'c',  op( A ) = 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 ) = 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  - REAL		.
	      On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

       A      - REAL		 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    - 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 ), other-
	      wise  LDA must be at least  max( 1, k ).	Unchanged on exit.

       B      - REAL		 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    - 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  ),  other-
	      wise  LDB must be at least  max( 1, n ).	Unchanged on exit.

       BETA   - REAL		.
	      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      - REAL		 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.

	      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  Hammar-
	      ling, Numerical Algorithms Group Ltd.

BLAS routine				 16 October 1992				 SGEMM(l)


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