Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls
Joint Authors
Wang, Jinhua
Yao, Jen-Chih
He, Jinsu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
He, Jinsu& Wang, Jinhua& Yao, Jen-Chih. 2013. Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-466324
Modern Language Association (MLA)
He, Jinsu…[et al.]. Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-466324
American Medical Association (AMA)
He, Jinsu& Wang, Jinhua& Yao, Jen-Chih. Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-466324
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466324