Extended Local Convergence for the Chebyshev Method under the Majorant Condition

Argyros, Ioannis K. and John, Jinny Ann and Jayaraman, Jayakumar and Regmi, Samundra (2022) Extended Local Convergence for the Chebyshev Method under the Majorant Condition. Asian Research Journal of Mathematics, 18 (12). pp. 102-109. ISSN 2456-477X

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Abstract

In this article, we present the study on local convergence behaviour of Chebyshev's method, which is a third order iterative method used to solve a non-linear system in Banach space locale. In contrast to the earlier works, we establish the convergence using restricted-majorant conditions. As a result, we get better
convergence radius and more tighter error estimates in comparison to the previous researches. Suitable numerical examples complement the theory.

Item Type: Article
Subjects: Science Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 24 Dec 2022 09:01
Last Modified: 12 Jul 2024 09:28
URI: http://research.manuscritpub.com/id/eprint/1158

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