zungl2(3F)

NAME
     ZUNGL2 - generate an m-by-n complex matrix Q with orthonormal rows,

SYNOPSIS
     SUBROUTINE ZUNGL2( M, N, K, A, LDA, TAU, WORK, INFO )

         INTEGER        INFO, K, LDA, M, N

         COMPLEX*16     A( LDA, * ), TAU( * ), WORK( * )

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(2)' H(1)'

     as returned by ZGELQF.


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

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

     WORK    (workspace) COMPLEX*16 array, dimension (M)

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