Local convergence of a fast Steffensen-type method on Banach space under weak conditions
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Date
2017
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Publisher
Inderscience Publishers
Abstract
This paper is devoted to the study of the seventh-order Steffensen-type methods for solving nonlinear equations in Banach spaces. Using the idea of a restricted convergence domain, we extended the applicability of the seventh-order Steffensen-type methods. Our convergence conditions are weaker than the conditions used in the earlier studies. Numerical examples are also given in this study. © © 2017 Inderscience Enterprises Ltd.
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Keywords
Banach spaces, Convergence conditions, Convergence domains, Local Convergence, Radius of convergence, Solving nonlinear equations, Type methods, Nonlinear equations
Citation
International Journal of Computing Science and Mathematics, 2017, 8, 6, pp. 495-505