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CLARFB(l)			       )			     CLARFB(l)

NAME
       CLARFB  -  applie  a complex block reflector H or its transpose H' to a
       complex M-by-N matrix C, from either the left or the right

SYNOPSIS
       SUBROUTINE CLARFB( SIDE, TRANS, DIRECT, STOREV, M, N,  K,  V,  LDV,  T,
			  LDT, C, LDC, WORK, LDWORK )

	   CHARACTER	  DIRECT, SIDE, STOREV, TRANS

	   INTEGER	  K, LDC, LDT, LDV, LDWORK, M, N

	   COMPLEX	  C( LDC, * ), T( LDT, * ), V( LDV, * ), WORK( LDWORK,
			  * )

PURPOSE
       CLARFB applies a complex block reflector H or its  transpose  H'	 to  a
       complex M-by-N matrix C, from either the left or the right.

ARGUMENTS
       SIDE    (input) CHARACTER*1
	       = 'L': apply H or H' from the Left
	       = 'R': apply H or H' from the Right

       TRANS   (input) CHARACTER*1
	       = 'N': apply H (No transpose)
	       = 'C': apply H' (Conjugate transpose)

       DIRECT  (input) CHARACTER*1
	       Indicates  how H is formed from a product of elementary reflec‐
	       tors = 'F': H = H(1) H(2) . . . H(k) (Forward)
	       = 'B': H = H(k) . . . H(2) H(1) (Backward)

       STOREV  (input) CHARACTER*1
	       Indicates how the vectors which define the  elementary  reflec‐
	       tors are stored:
	       = 'C': Columnwise
	       = 'R': Rowwise

       M       (input) INTEGER
	       The number of rows of the matrix C.

       N       (input) INTEGER
	       The number of columns of the matrix C.

       K       (input) INTEGER
	       The  order  of the matrix T (= the number of elementary reflec‐
	       tors whose product defines the block reflector).

       V       (input) COMPLEX array, dimension
	       (LDV,K) if STOREV = 'C' (LDV,M) if STOREV = 'R' and SIDE =  'L'
	       (LDV,N)	if  STOREV = 'R' and SIDE = 'R' The matrix V. See fur‐
	       ther details.

       LDV     (input) INTEGER
	       The leading dimension of the array V.  If STOREV = 'C' and SIDE
	       =  'L', LDV >= max(1,M); if STOREV = 'C' and SIDE = 'R', LDV >=
	       max(1,N); if STOREV = 'R', LDV >= K.

       T       (input) COMPLEX array, dimension (LDT,K)
	       The triangular K-by-K matrix T in  the  representation  of  the
	       block reflector.

       LDT     (input) INTEGER
	       The leading dimension of the array T. LDT >= K.

       C       (input/output) COMPLEX array, dimension (LDC,N)
	       On  entry,  the	M-by-N matrix C.  On exit, C is overwritten by
	       H*C or H'*C or C*H or C*H'.

       LDC     (input) INTEGER
	       The leading dimension of the array C. LDC >= max(1,M).

       WORK    (workspace) COMPLEX array, dimension (LDWORK,K)

       LDWORK  (input) INTEGER
	       The leading dimension of the array WORK.	 If SIDE = 'L', LDWORK
	       >= max(1,N); if SIDE = 'R', LDWORK >= max(1,M).

LAPACK version 3.0		 15 June 2000			     CLARFB(l)
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