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DORGQL(1)		 LAPACK routine (version 3.2)		     DORGQL(1)

NAME
       DORGQL - generates 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( * )

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 reflec‐
	       tor H(i), as returned by DGEQLF.

       WORK	 (workspace/output)   DOUBLE   PRECISION   array,    dimension
       (MAX(1,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 opti‐
	       mum performance LWORK >= N*NB, where NB is the  optimal	block‐
	       size.   If  LWORK  = -1, then a workspace query is assumed; the
	       routine only calculates the optimal size	 of  the  WORK	array,
	       returns this value as the first entry of the WORK array, and no
	       error message related to LWORK is issued by XERBLA.

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

 LAPACK routine (version 3.2)	 November 2008			     DORGQL(1)
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