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

Pages : 310-317

Doi:10.31197/atnaa.1056652

View : 12 | Download : 9

Publication Date : 2022-09-30

Article Type : Research Paper

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