DORGRQ(l)		LAPACK routine (version	1.1)		    DORGRQ(l)

NAME
  DORGRQ - generate an M-by-N real matrix Q with orthonormal rows,

SYNOPSIS

  SUBROUTINE DORGRQ( M,	N, K, A, LDA, TAU, WORK, LWORK,	INFO )

      INTEGER	     INFO, K, LDA, LWORK, M, N

      DOUBLE	     PRECISION A( LDA, * ), TAU( * ), WORK( LWORK )

PURPOSE
  DORGRQ generates an M-by-N real matrix Q with	orthonormal rows, which	is
  defined as the last M	rows of	a product of K elementary reflectors of	order
  N

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

  as returned by DGERQF.

ARGUMENTS

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

  N	  (input) INTEGER
	  The number of	columns	of the matrix Q. N >= M.

  K	  (input) INTEGER
	  The number of	elementary reflectors whose product defines the
	  matrix Q. M >= K >= 0.

  A	  (input/output) DOUBLE	PRECISION array, dimension (LDA,N)
	  On entry, the	(m-k+i)-th row must contain the	vector which defines
	  the elementary reflector H(i), for i = 1,2,...,k, as returned	by
	  DGERQF in the	last k rows of its array argument A.  On exit, the
	  M-by-N matrix	Q.

  LDA	  (input) INTEGER
	  The first dimension of the array A. LDA >= max(1,M).

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

  WORK	  (workspace) DOUBLE PRECISION array, dimension	(LWORK)
	  On exit, if INFO = 0,	WORK(1)	returns	the optimal LWORK.

  LWORK	  (input) INTEGER
	  The dimension	of the array WORK. LWORK >= max(1,M).  For optimum
	  performance LWORK >= M*NB, where NB is the optimal blocksize.

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