Open Access
Translator Disclaimer
2013 Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls
Jinsu He, Jinhua Wang, Jen-Chih Yao
Abstr. Appl. Anal. 2013(SI45): 1-9 (2013). DOI: 10.1155/2013/367161

Abstract

An estimation of uniqueness ball of a zero point of a mapping on Lie group is established. Furthermore, we obtain a unified estimation of radius of convergence ball of Newton’s method on Lie groups under a generalized L-average Lipschitz condition. As applications, we get estimations of radius of convergence ball under the Kantorovich condition and the γ -condition, respectively. In particular, under the γ -condition, our results improve the corresponding results in (Li et al. 2009, Corollary 4.1) as showed in Remark 17. Finally, applications to analytical mappings are also given.

Citation

Download Citation

Jinsu He. Jinhua Wang. Jen-Chih Yao. "Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls." Abstr. Appl. Anal. 2013 (SI45) 1 - 9, 2013. https://doi.org/10.1155/2013/367161

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1307.65079
MathSciNet: MR3129324
Digital Object Identifier: 10.1155/2013/367161

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2013 • No. SI45 • 2013
Back to Top