Local convergence of a fast Steffensen-type method on Banach space under weak conditions (Q2224229)
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| English | Local convergence of a fast Steffensen-type method on Banach space under weak conditions |
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Local convergence of a fast Steffensen-type method on Banach space under weak conditions (English)
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3 February 2021
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Summary: 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.
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Steffensen-type method
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restricted convergence domain
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radius of convergence
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local convergence
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