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

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

Authors

  • Samundra REGMİ, Ioannis K. ARGYROS*, Santhosh GEORGE, Christopher ARGYROS

Keywords:

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

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.

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Published

2023-08-01

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Articles

How to Cite

An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations. (2023). Advances in the Theory of Nonlinear Analysis and Its Application, 6(3), 310-317. https://atnaea.org/index.php/journal/article/view/145