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LAPACK version 3.0
dorg2r(3)

PURPOSE
  DORG2R - generate an m by n real matrix Q with orthonormal columns,

SYNTAX
  SUBROUTINE DORG2R( M, N, K, A, LDA, TAU, WORK, INFO )

      INTEGER	     INFO, K, LDA, M, N

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

DESCRIPTION
  DORG2R 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 DGEQRF.

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 i-th column must contain the vector which defines the
	  elementary reflector H(i), for i = 1,2,...,k, as returned by DGEQRF
	  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) DOUBLE PRECISION array, dimension (K)
	  TAU(i) must contain the scalar factor of the elementary reflector
	  H(i), as returned by DGEQRF.

  WORK	  (workspace) DOUBLE PRECISION array, dimension (N)

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