A high-order Chebyshev-type method for solving nonlinear equations: local convergence and applications

In this paper, the local convergence of a high-order Chebyshev-type method without the second derivative is studied. We study the convergence under $ \omega $-continuity conditions based on the first derivative. The uniqueness of the solution and the radii of convergence domains are obtained. In con...

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Bibliographic Details
Main Authors: Dongdong Ruan, Xiaofeng Wang
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2025065
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