CUNG2R  -  generate  an  m  by  n  complex  matrix  Q with
       orthonormal columns,


SYNOPSIS

       SUBROUTINE CUNG2R( M, N, K, A, LDA, TAU, WORK, INFO )

           INTEGER        INFO, K, LDA, M, N

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


PURPOSE

       CUNG2R generates an m by n complex matrix Q with orthonor­
       mal  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 CGEQRF.


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) COMPLEX 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 CGEQRF 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) COMPLEX array, dimension (K)
               TAU(i)  must contain the scalar factor of the ele­
               mentary reflector H(i), as returned by CGEQRF.

       WORK    (workspace) COMPLEX 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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