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CLARFB(3F)							    CLARFB(3F)

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 reflectors
	     = '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 reflectors
	     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 reflectors
	     whose product defines the block reflector).

									Page 1

CLARFB(3F)							    CLARFB(3F)

     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 further
	     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).

									Page 2

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