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DLARFB(1)	    LAPACK auxiliary routine (version 3.2)	     DLARFB(1)

NAME
       DLARFB - applies a real block reflector H or its transpose H' to a real
       m by n matrix C, from either the left or the right

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

	   IMPLICIT	  NONE

	   CHARACTER	  DIRECT, SIDE, STOREV, TRANS

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

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

PURPOSE
       DLARFB applies a real block reflector H or its transpose H' to a real 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)
	       = 'T': 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)
	       = '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) DOUBLE PRECISION 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) 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. LDA >= 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).

 LAPACK auxiliary routine (versioNovember 2008			     DLARFB(1)
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