An optimal eighth-order derivative-free family of Potra-Pták's method (Q1736660)
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scientific article; zbMATH DE number 7042253
| Language | Label | Description | Also known as |
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| English | An optimal eighth-order derivative-free family of Potra-Pták's method |
scientific article; zbMATH DE number 7042253 |
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An optimal eighth-order derivative-free family of Potra-Pták's method (English)
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26 March 2019
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Summary: In this paper, we present a new three-step derivative-free family based on Potra-Pták's method for solving nonlinear equations numerically. In terms of computational cost, each member of the proposed family requires only four functional evaluations per full iteration to achieve optimal eighth-order convergence. Further, computational results demonstrate that the proposed methods are highly efficient as compared with many well-known methods.
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Steffensen-type methods
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Kung-Traub conjecture
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optimal order of convergence
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efficiency index
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