Extended Local Convergence for the Chebyshev Method under the Majorant Condition
Ioannis K. Argyros, Jinny Ann John, Jayakumar Jayaraman, Samundra Regmi
Asian Research Journal of Mathematics · pp. 102–109 · Published 21 Dec 2022
10.9734/arjom/2022/v18i12629Abstract
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.
Cited by 3
Ioannis K. Argyros, Jinny Ann John, Jayakumar Jayaraman · Contemporary Mathematics · 2024
Oannis K. Argyros, S. Regmi, J. John · European Journal of Mathematical Analysis · 2023
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