ZUNGLQ(3F)ZUNGLQ(3F)NAMEZUNGLQ - 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 )
PURPOSEZUNGLQ 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.
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ZUNGLQ(3F)ZUNGLQ(3F)
INFO (output) INTEGER
= 0: successful exit;
< 0: if INFO = -i, the i-th argument has an illegal value
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