CUNGL2(3)      LAPACK routine of NEC Numeric Library Collection      CUNGL2(3)



NAME
       CUNGL2

SYNOPSIS
       SUBROUTINE CUNGL2 (M, N, K, A, LDA, TAU, WORK, INFO)



PURPOSE
            CUNGL2 generates an m-by-n complex matrix Q with orthonormal rows,
            which is defined as the first m rows of a product of k elementary
            reflectors of order n

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

            as returned by CGELQF.




ARGUMENTS
           M         (input)
                     M is INTEGER
                     The number of rows of the matrix Q. M >= 0.

           N         (input)
                     N is INTEGER
                     The number of columns of the matrix Q. N >= M.

           K         (input)
                     K is INTEGER
                     The number of elementary reflectors whose product defines the
                     matrix Q. M >= K >= 0.

           A         (input/output)
                     A is 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)
                     LDA is INTEGER
                     The first dimension of the array A. LDA >= max(1,M).

           TAU       (input)
                     TAU is COMPLEX array, dimension (K)
                     TAU(i) must contain the scalar factor of the elementary
                     reflector H(i), as returned by CGELQF.

           WORK      (output)
                     WORK is COMPLEX array, dimension (M)

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



LAPACK routine                  31 October 2017                      CUNGL2(3)