Content area

Abstract

Translate

In this article, we present semilocal convergence of third order Newton-like method in Riemannian manifolds. We study convergence analysis with Lipschitz continuity condition and by using recurrence relations of the method. Finally, two numerical examples are given to illustrate the effectiveness of our results.

Details

Subject
Riemann manifold;
Convergence;
Newton methods;
Lipschitz condition;
Mathematical functions;
Applied mathematics;
Methods;
Banach spaces;
Iterative methods;
Topological manifolds
Title
CONVERGENCE OF THIRD ORDER NEWTON-LIKE METHOD IN RIEMANNIAN MANIFOLDS
Author
Parida, Pradip Kumar 1 ; Prasad, Chandresh 1 

1  Department of Mathematics, Central University of Jharkhand, Ranchi - 835222, India 
Publication title
Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III; Brasov
Volume
5
Issue
1
Pages
187-201
Publication year
2025
Publication date
2025
Publisher
Transilvania University of Brasov
Place of publication
Brasov
Country of publication
Romania
Publication subject
Mathematics
ISSN
20652151
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
DOI
https://doi.org/10.31926/but.mif.2025.5.67.1.14
ProQuest document ID
3173092965
Document URL
https://www.proquest.com/scholarly-journals/convergence-third-order-newton-like-method/docview/3173092965/se-2?accountid=208611
Copyright
Copyright Transilvania University of Brasov 2025
Last updated
2025-03-17
Database
ProQuest One Academic