NAME

       zungl2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zungl2 (M, N, K, A, LDA, TAU, WORK, INFO)
           ZUNGL2 generates all or part of the unitary matrix Q from an LQ factorization
           determined by cgelqf (unblocked algorithm).

Function/Subroutine Documentation

   subroutine zungl2 (integer M, integer N, integer K, complex*16, dimension( lda, * ) A, integer
       LDA, complex*16, dimension( * ) TAU, complex*16, dimension( * ) WORK, integer INFO)
       ZUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined
       by cgelqf (unblocked algorithm).

       Purpose:

            ZUNGL2 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 ZGELQF.

       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*16 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 ZGELQF 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*16 array, dimension (K)
                     TAU(i) must contain the scalar factor of the elementary
                     reflector H(i), as returned by ZGELQF.

           WORK

                     WORK is COMPLEX*16 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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