man zungr2 (Fonctions bibliothèques) - generate an m by n complex matrix Q with orthonormal rows,

NAME

ZUNGR2 - generate an m by n complex matrix Q with orthonormal rows,

SYNOPSIS

SUBROUTINE ZUNGR2(
M, N, K, A, LDA, TAU, WORK, INFO )
INTEGER INFO, K, LDA, M, N
COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )

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

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

as returned by ZGERQF.

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 (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.
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 ZGERQF.
WORK (workspace) COMPLEX*16 array, dimension (M)
INFO (output) INTEGER
= 0: successful exit

< 0: if INFO = -i, the i-th argument has an illegal value