Efficient families of Newton's method and its variants suitable for non-convergent cases (Q337957)
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scientific article; zbMATH DE number 6647418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Efficient families of Newton's method and its variants suitable for non-convergent cases |
scientific article; zbMATH DE number 6647418 |
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Efficient families of Newton's method and its variants suitable for non-convergent cases (English)
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3 November 2016
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This paper represents several formulas of second-, third- and fourth-order methods, respectively for numerically solving nonlinear equations. The proposed methods offer a particular advantage for the cases where the traditional Newton's method and its variants of various order may not converge. Further, this approach is also extended to solve a system of nonlinear equations.
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system of nonlinear equations
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simple zeros
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Newton's method
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Schröder's method
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Traub-Ostrowski's method
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Jarratt's method
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