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LAPACK version 3.0
sorgr2(3)

PURPOSE
  SORGR2 - generate an m by n real matrix Q with orthonormal rows,

SYNTAX
  SUBROUTINE SORGR2( M, N, K, A, LDA, TAU, WORK, INFO )

      INTEGER	     INFO, K, LDA, M, N

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

DESCRIPTION
  SORGR2 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 (M)

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