NAME

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

SYNOPSIS

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

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

COMPLEX∗16 A( LDA, ∗ ), TAU( ∗ ), WORK( LWORK )

PURPOSE

ZUNGLQ 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/output) COMPLEX∗16 array, dimension (LWORK)
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

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

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

  —  LAPACK version 2.0  —  08 October 1994