Ball analysis for an efficient sixth convergence order scheme under weaker conditions

Year 2021, Volume: 5 Issue: 3, 445 - 453, 30.09.2021

Ioannis K Argyros Santhosh George

https://doi.org/10.31197/atnaa.746959

Cited By: 1

Abstract

In this study we consider an efficient sixth order scheme for solving Banach space-valued equations. The convergence criteria in earlier studies involve higher-order derivatives limiting the applicability of these methods. In this study, we use the first derivative only in our analysis to expand the usage of these schemes. The technique we use can be used on other schemes to obtain the same advantages. Numerical experiments compare favorably our results to earlier ones.

Keywords

Semi-local convergence, Banach Space, High convergence order

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