An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations

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Date

2022

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DergiPark

Abstract

In this paper we compare the radius of convergence of two sixth convergence order methods for solving nonlinear equation. We present the local convergence analysis not given before, which is based on the first Frechet derivative that only appears on the method. Numerical examples where the theoretical results are tested complete the paper. © 2022, DergiPark. All rights reserved.

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Keywords

Banach Space, Local/semi-local Convergence, Newton/Chebyshev method

Citation

Advances in the Theory of Nonlinear Analysis and its Applications, 2022, 6, 3, pp. 310-317

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