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CHEMM(1)			 BLAS routine			      CHEMM(1)

NAME
       CHEMM - performs one of the matrix-matrix operations   C := alpha*A*B +
       beta*C,

SYNOPSIS
       SUBROUTINE CHEMM(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,BETA,C,LDC)

	   COMPLEX						    ALPHA,BETA

	   INTEGER						    LDA,LDB,LDC,M,N

	   CHARACTER						    SIDE,UPLO

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

PURPOSE
       CHEMM  performs one of the matrix-matrix operations

       or

	  C := alpha*B*A + beta*C,

       where alpha and beta are scalars, A is an hermitian matrix and  B and C
       are m by n matrices.

ARGUMENTS
       SIDE   - CHARACTER*1.
	      On  entry,   SIDE	  specifies  whether  the  hermitian matrix  A
	      appears on the  left or right  in the  operation as follows:

	      SIDE = 'L' or 'l'	  C := alpha*A*B + beta*C,

	      SIDE = 'R' or 'r'	  C := alpha*B*A + beta*C,

	      Unchanged on exit.

       UPLO   - CHARACTER*1.
	      On  entry,   UPLO	 specifies  whether   the   upper   or	 lower
	      triangular   part	  of   the   hermitian	matrix	 A  is	to  be
	      referenced as follows:

	      UPLO = 'U' or 'u'	  Only the upper triangular part of  the  her‐
	      mitian matrix is to be referenced.

	      UPLO  =  'L' or 'l'   Only the lower triangular part of the her‐
	      mitian matrix is to be referenced.

	      Unchanged on exit.

       M      - INTEGER.
	      On entry,	 M  specifies the number of rows 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 C.  N
	      must be at least zero.  Unchanged on exit.

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

       A      - COMPLEX		 array of DIMENSION ( LDA, ka ), where ka is
	      m	 when  SIDE = 'L' or 'l'  and is n  otherwise.	 Before	 entry
	      with   SIDE  =  'L'  or  'l',  the  m by m  part of the array  A
	      must contain the	hermitian matrix,  such that when  UPLO =  'U'
	      or 'u', the leading m by m upper triangular part of the array  A
	      must contain the upper triangular part of the  hermitian	matrix
	      and  the	 strictly   lower triangular part of  A	 is not refer‐
	      enced,  and when	UPLO = 'L' or 'l', the leading	m by m	 lower
	      triangular part  of the  array  A must  contain  the  lower tri‐
	      angular part  of the  hermitian matrix and the   strictly	 upper
	      triangular  part	of   A	is not referenced.  Before entry  with
	      SIDE = 'R' or 'r',  the  n by n  part of the array  A  must con‐
	      tain  the	 hermitian matrix,  such that when  UPLO = 'U' or 'u',
	      the leading n by n upper triangular part of the array   A	  must
	      contain  the  upper triangular part of the  hermitian matrix and
	      the  strictly  lower triangular part of  A  is  not  referenced,
	      and when	UPLO = 'L' or 'l', the leading	n by n	lower triangu‐
	      lar part	of the	array  A must  contain	the  lower  triangular
	      part   of the  hermitian matrix and the  strictly upper triangu‐
	      lar part of  A  is not  referenced.   Note  that	the  imaginary
	      parts   of  the  diagonal	 elements  need	 not  be set, they are
	      assumed to be zero.  Unchanged on exit.

       LDA    - INTEGER.
	      On entry, LDA specifies the first dimension of A as declared  in
	      the   calling  (sub)  program. When  SIDE = 'L' or 'l'  then LDA
	      must be at least	max( 1, m ), otherwise	LDA must be  at	 least
	      max( 1, n ).  Unchanged on exit.

       B      - COMPLEX		 array of DIMENSION ( LDB, n ).
	      Before  entry,  the  leading   m by n 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.   LDB  must	 be  at	 least max( 1,
	      m ).  Unchanged on exit.

       BETA   - COMPLEX		.
	      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		 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 updated matrix.

       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.

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.

BLAS routine			 November 2008			      CHEMM(1)
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