1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58
|
.TH ZUNGR2 l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
ZUNGR2 - generate an m by n complex matrix Q with orthonormal rows,
.SH SYNOPSIS
.TP 19
SUBROUTINE ZUNGR2(
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
ZUNGR2 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
.br
Q = H(1)' H(2)' . . . H(k)'
.br
as returned by ZGERQF.
.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 (m-k+i)-th row must contain the vector which
defines the elementary reflector H(i), for i = 1,2,...,k, as
returned by ZGERQF in the last 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 ZGERQF.
.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
|