DORGQL(l)		LAPACK routine (version	1.1)		    DORGQL(l)

NAME
  DORGQL - generate an M-by-N real matrix Q with orthonormal columns,

SYNOPSIS

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

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

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

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

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

  as returned by DGEQLF.

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. M >= N	>= 0.

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

  A	  (input/output) DOUBLE	PRECISION array, dimension (LDA,N)
	  On entry, the	(n-k+i)-th column must contain the vector which
	  defines the elementary reflector H(i), for i = 1,2,...,k, as
	  returned by DGEQLF in	the last k columns 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 DGEQLF.

  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,N).  For optimum
	  performance LWORK >= N*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