Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative (Q711293)
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scientific article; zbMATH DE number 5804917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative |
scientific article; zbMATH DE number 5804917 |
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Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative (English)
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25 October 2010
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Finding the zeros of a nonlinear equation on an interval is one of the most important problem in numerical analysis. A modified Newton method for multiple zeros studied in this paper. An estimate for the convergence radius of this method when the involved function satisfies a Hölder and center-Hölder continuity condition is obtained. Numerical examples illustrate these results.
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nonlinear equation
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zero-finding
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modified Newton method
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multiple zeros
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convergence radius
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Hölder condition
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divided differences
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numerical examples
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