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DORMR2(3F)							    DORMR2(3F)

NAME
     DORMR2 - 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 DORMR2( 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
     DORMR2 overwrites the general real m by n matrix C with

     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 DGERQF. 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,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must
	     contain the vector which defines the elementary reflector H(i),

									Page 1

DORMR2(3F)							    DORMR2(3F)

	     for i = 1,2,...,k, as returned by DGERQF in the last k rows 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. LDA >= max(1,K).

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

     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

									Page 2

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