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

Ioannis K ARGYROS; Santhosh GEORGE

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

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摘要

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.

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《Advances in the Theory of Nonlinear Analysis and its Applications》 |2021年第3期|445-453|共9页
作者
Ioannis K ARGYROS; Santhosh GEORGE;
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作者单位

Cameron University;

National Institute of Technology Karnataka;

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正文语种土耳其语
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Semi-local convergence; Banach Space; High convergence order;

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

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