CUNGLQ   -  generate  an  M-by-N  complex  matrix  Q  with
       orthonormal rows,


SYNOPSIS

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

           INTEGER        INFO, K, LDA, LWORK, M, N

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


PURPOSE

       CUNGLQ generates an M-by-N complex matrix Q with orthonor­
       mal rows, which is defined as the first M rows of a  prod­
       uct of K elementary reflectors of order N

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

       as returned by CGELQF.


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) COMPLEX array, dimension (LDA,N)
               On entry, the i-th row  must  contain  the  vector
               which defines the elementary reflector H(i), for i
               = 1,2,...,k, as returned by CGELQF in the first  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) COMPLEX array, dimension (K)
               TAU(i)  must contain the scalar factor of the ele­
               mentary reflector H(i), as returned by CGELQF.

       WORK    (workspace/output) COMPLEX array, dimension
               (LWORK)
               On  exit, if INFO = 0, WORK(1) returns the optimal
               LWORK.

               The  dimension  of  the  array  WORK.   LWORK   >=
               max(1,M).   For optimum performance LWORK >= M*NB,
               where NB is the optimal blocksize.

               If LWORK = -1, then a workspace query is  assumed;
               the  routine  only  calculates the optimal size of
               the WORK array, returns this value  as  the  first
               entry  of  the  WORK  array,  and no error message
               related to LWORK is issued by XERBLA.

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


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