CXML
        	    
LAPACK version 3.0
sorg2r(3)

PURPOSE
  SORG2R - generate an m by n real matrix Q with orthonormal columns,

SYNTAX
  SUBROUTINE SORG2R( M, N, K, A, LDA, TAU, WORK, INFO )

      INTEGER	     INFO, K, LDA, M, N

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

DESCRIPTION
  SORG2R 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 (N)

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