File: zungl2.l

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.TH ZUNGL2 l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
ZUNGL2 - generate an m-by-n complex matrix Q with orthonormal rows,
.SH SYNOPSIS
.TP 19
SUBROUTINE ZUNGL2(
M, N, K, A, LDA, TAU, WORK, INFO )
.TP 19
.ti +4
INTEGER
INFO, K, LDA, M, N
.TP 19
.ti +4
COMPLEX*16
A( LDA, * ), TAU( * ), WORK( * )
.SH 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
.br

      Q  =  H(k)' . . . H(2)' H(1)'
.br

as returned by ZGELQF.
.br

.SH ARGUMENTS
.TP 8
M       (input) INTEGER
The number of rows of the matrix Q. M >= 0.
.TP 8
N       (input) INTEGER
The number of columns of the matrix Q. N >= M.
.TP 8
K       (input) INTEGER
The number of elementary reflectors whose product defines the
matrix Q. M >= K >= 0.
.TP 8
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.
.TP 8
LDA     (input) INTEGER
The first dimension of the array A. LDA >= max(1,M).
.TP 8
TAU     (input) COMPLEX*16 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZGELQF.
.TP 8
WORK    (workspace) COMPLEX*16 array, dimension (M)
.TP 8
INFO    (output) INTEGER
= 0: successful exit
.br
< 0: if INFO = -i, the i-th argument has an illegal value