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

Year 2022, Volume: 6 Issue: 3, 310 - 317, 30.09.2022

Samundra Regmi Ioannis K. Argyros Santhosh George Christopher Argyros

https://doi.org/10.31197/atnaa.1056652

Abstract

In this paper, we compare the radii of convergence of two sixth convergence order methods for solving the nonlinear equations. We present the local convergence analysis not given before, which is based on the first Fréchet derivative that only appears on the method. Numerical examples where the theoretical results are tested complete the paper.

Keywords

Newton/Chebyshev method, Banach space, Local Convergence, Semi-local Convergence

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