Two novel classes of two-step optimal methods for all the zeros in an interval (Q467975)
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scientific article; zbMATH DE number 6366060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two novel classes of two-step optimal methods for all the zeros in an interval |
scientific article; zbMATH DE number 6366060 |
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Two novel classes of two-step optimal methods for all the zeros in an interval (English)
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5 November 2014
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The author deals with the problem of solving nonlinear equations with finitely many roots in an interval. In particular, two general classes of two-step derivative-involved methods for solving it are studied. More precisely, it is shown that each member of the developed classes includes two evaluations of the function and one evaluation of the first derivative to achieve fourth order of convergence. In addition, an algorithm is provided using Mathematica to capture all the zeros of a nonlinear equation in a given interval.
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optimal order
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many roots
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convergence
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King's family
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Ostrowski's method
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basins of attraction
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nonlinear equations
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algorithm
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