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


SYNOPSIS

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

           INTEGER        INFO, K, LDA, M, N

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


PURPOSE

       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 vec­
               tor 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  ele­
               mentary 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 ille­
               gal value


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