SORG2L - generate an m by n real matrix Q with orthonormal
       columns,


SYNOPSIS

       SUBROUTINE SORG2L( M, N, K, A, LDA, TAU, WORK, INFO )

           INTEGER        INFO, K, LDA, M, N

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


PURPOSE

       SORG2L generates an m by n real matrix Q with  orthonormal
       columns, which is defined as the last n columns of a prod­
       uct of k elementary reflectors of order m

             Q  =  H(k) . . . H(2) H(1)

       as returned by SGEQLF.


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 (n-k+i)-th column must  contain  the
               vector  which  defines  the  elementary  reflector
               H(i), for i = 1,2,...,k, as returned by SGEQLF  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) REAL array, dimension (K)
               TAU(i)  must contain the scalar factor of the ele­
               mentary reflector H(i), as returned by SGEQLF.

       WORK    (workspace) REAL array, dimension (N)

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


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