- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 3
- Ball analysis for an efficient sixth convergence order scheme under weaker conditions
Ball analysis for an efficient sixth convergence order scheme under weaker conditions
Authors : Ioannis K ARGYROS, Santhosh GEORGE
Pages : 445-453
Doi:10.31197/atnaa.746959
View : 6 | Download : 1
Publication Date : 2021-09-30
Article Type : Research
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