DORM2R(l)								 )								 DORM2R(l)

NAME

       DORM2R  - overwrite the general real m by n matrix C with  Q * C if SIDE = 'L' and TRANS = 'N', or  Q'* C if SIDE = 'L' and TRANS = 'T', or
       C * Q if SIDE = 'R' and TRANS = 'N', or	C * Q' if SIDE = 'R' and TRANS = 'T',

SYNOPSIS

       SUBROUTINE DORM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS

	   INTEGER	  INFO, K, LDA, LDC, M, N

	   DOUBLE	  PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       DORM2R overwrites the general real m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'T', or C *
       Q  if  SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'T', where Q is a real orthogonal matrix defined as the product of k
       elementary reflectors

	     Q = H(1) H(2) . . . H(k)

       as returned by DGEQRF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.

ARGUMENTS

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

       TRANS   (input) CHARACTER*1
	       = 'N': apply Q  (No transpose)
	       = 'T': apply Q' (Transpose)

       M       (input) INTEGER
	       The number of rows of the matrix C. M >= 0.

       N       (input) INTEGER
	       The number of columns of the matrix C. N >= 0.

       K       (input) INTEGER
	       The number of elementary reflectors whose product defines the matrix Q.	If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0.

       A       (input) DOUBLE PRECISION array, dimension (LDA,K)
	       The i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned  by	DGEQRF	in
	       the first k columns of its array argument A.  A is modified by the routine but restored on exit.

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

       TAU     (input) DOUBLE PRECISION array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGEQRF.

       C       (input/output) DOUBLE PRECISION array, dimension (LDC,N)
	       On entry, the m by n matrix C.  On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.

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

       WORK    (workspace) DOUBLE PRECISION array, dimension
	       (N) if SIDE = 'L', (M) if SIDE = 'R'

       INFO    (output) INTEGER
	       = 0: successful exit
	       < 0: if INFO = -i, the i-th argument had an illegal value

LAPACK version 3.0						   15 June 2000 							 DORM2R(l)