New optimal iterative methods in solving nonlinear equations (Q2896995)
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scientific article; zbMATH DE number 6053412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New optimal iterative methods in solving nonlinear equations |
scientific article; zbMATH DE number 6053412 |
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5 July 2012
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multi-point iterations
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order
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optimality
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without memory iterations
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efficiency
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New optimal iterative methods in solving nonlinear equations (English)
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This article is concerned with a numerical solution of nonlinear scalar equations by multi-point iterations. A general three-step eighth-order class of second derivative-order methods is presented, which is in fact a generalization of the three-point family of methods given by \textit{Y. H. Geum} and \textit{Y. I. Kim} [Appl. Math. Lett. 24, No. 6, 929--935 (2011; Zbl 1215.65092)]. Analysis of convergence is studied and numerical examples are taken into account to support the new results of the paper.
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