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DLARZB(l)			       )			     DLARZB(l)

NAME
       DLARZB  -  applie  a  real block reflector H or its transpose H**T to a
       real distributed M-by-N C from the left or the right

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

	   CHARACTER	  DIRECT, SIDE, STOREV, TRANS

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

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

PURPOSE
       DLARZB applies a real block reflector H or its transpose H**T to a real
       distributed  M-by-N  C  from  the  left	or the right.  Currently, only
       STOREV = 'R' and DIRECT = 'B' are supported.

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' (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, not supported
	       yet)
	       = '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			(not supported yet)
	       = '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).

       L       (input) INTEGER
	       The number of columns of the matrix V containing the meaningful
	       part  of	 the Householder reflectors.  If SIDE = 'L', M >= L >=
	       0, if SIDE = 'R', N >= L >= 0.

       V       (input) DOUBLE PRECISION array, dimension (LDV,NV).
	       If STOREV = 'C', NV = K; if STOREV = 'R', NV = L.

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

       T       (input) DOUBLE PRECISION 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) DOUBLE PRECISION 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) DOUBLE PRECISION 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).

FURTHER DETAILS
       Based on contributions by
	 A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

LAPACK version 3.0		 15 June 2000			     DLARZB(l)
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