SORGQR(l)		LAPACK routine (version	1.1)		    SORGQR(l)

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

SYNOPSIS

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

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

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

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

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

  as returned by SGEQRF.

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) REAL array, dimension (LDA,N)
	  On entry, the	i-th column must contain the vector which defines the
	  elementary reflector H(i), for i = 1,2,...,k,	as returned by SGEQRF
	  in the first 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) REAL array, dimension	(K)
	  TAU(i) must contain the scalar factor	of the elementary reflector
	  H(i),	as returned by SGEQRF.

  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,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