SORGRQ(l)		LAPACK routine (version	1.1)		    SORGRQ(l)

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

SYNOPSIS

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

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

      REAL	     A(	LDA, * ), TAU( * ), WORK( LWORK	)

PURPOSE
  SORGRQ 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 SGERQF.

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) REAL 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
	  SGERQF 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) REAL array, dimension	(K)
	  TAU(i) must contain the scalar factor	of the elementary reflector
	  H(i),	as returned by SGERQF.

  WORK	  (workspace) REAL 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