NAME

       cungl2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine cungl2 (M, N, K, A, LDA, TAU, WORK, INFO)
           CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization
           determined by cgelqf (unblocked algorithm).

Function/Subroutine Documentation

   subroutine cungl2 (integer M, integer N, integer K, complex, dimension( lda, * ) A, integer
       LDA, complex, dimension( * ) TAU, complex, dimension( * ) WORK, integer INFO)
       CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined
       by cgelqf (unblocked algorithm).

       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.

       Parameters:
           M

                     M is INTEGER
                     The number of rows of the matrix Q. M >= 0.

           N

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

           K

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

           A

                     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

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

           TAU

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

           WORK

                     WORK is COMPLEX array, dimension (M)

           INFO

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

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

Author

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