Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls

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 co...

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Bibliographic Details
Main Authors: Jinsu He, Jinhua Wang, Jen-Chih Yao
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/367161