CUNGRQ(l) LAPACK routine (version 1.1) CUNGRQ(l)
NAME
CUNGRQ - generate an M-by-N complex matrix Q with orthonormal rows,
SYNOPSIS
SUBROUTINE CUNGRQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
INTEGER INFO, K, LDA, LWORK, M, N
COMPLEX A( LDA, * ), TAU( * ), WORK( LWORK )
PURPOSE
CUNGRQ generates an M-by-N complex matrix Q with orthonormal rows, which is
defined as the last M rows of a product of K elementary reflectors of order
N
Q = H(1)' H(2)' . . . H(k)'
as returned by CGERQF.
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 array, dimension (LDA,N)
On entry, the (m-k+i)-th row must contain the vector which defines
the elementary reflector H(i), for i = 1,2,...,k, as returned by
CGERQF in the last 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 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary reflector
H(i), as returned by CGERQF.
WORK (workspace) COMPLEX 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
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