The global convergence theory of quasi-Newton methods for optimization problems has well been established. Related work to the globalization of quasi-Newton methods for nonlinear equations is relatively less. The major difficulty in globalizing quasi-Newton methods for nonlinear equations lies in the lack of efficient line search technique. Recently, there have been proposed some derivative-free line searches. The study in the global convergence of some quasi-Newton methods has taken good progress. In this paper, we summarize some recent progress in the global convergence of quasi-
Newton methods for solving nonlinear equations.
Publié le : 2007-11-15
Classification:
Nonlinear equation,
quasi-Newton method,
derivative-free line search,
global convergence,
90C53,
65H10
@article{1272848030,
author = {LI, Dong-Hui and CHENG, Wanyou},
title = {Recent progress in the global convergence of quasi-Newton methods for nonlinear equations},
journal = {Hokkaido Math. J.},
volume = {36},
number = {4},
year = {2007},
pages = { 729-743},
language = {en},
url = {http://dml.mathdoc.fr/item/1272848030}
}
LI, Dong-Hui; CHENG, Wanyou. Recent progress in the global convergence of quasi-Newton methods for nonlinear equations. Hokkaido Math. J., Tome 36 (2007) no. 4, pp. 729-743. http://gdmltest.u-ga.fr/item/1272848030/