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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 9 | Download : 8

Publication Date : 2021-09-30

Article Type : Research Paper

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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