Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations (Q890783)
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scientific article; zbMATH DE number 6508593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations |
scientific article; zbMATH DE number 6508593 |
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Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations (English)
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13 November 2015
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The local convergence of a method presented by Cordero et al. (see references [10, 12-14] in the paper under review) of convergence order at least five to approximate a locally unique solution of a nonlinear equation is studied. The convergence in this study is shown under hypotheses on the first derivative. The applicability of the method is expanded. Numerical examples are provided.
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ball convergence
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local convergence
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order of convergence
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convergence planes and nonlinear equations
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