Convergence behavior for Newton-Steffensen's method under Lipschitz condition of second derivative (Q449582)
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scientific article; zbMATH DE number 6074776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence behavior for Newton-Steffensen's method under Lipschitz condition of second derivative |
scientific article; zbMATH DE number 6074776 |
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Convergence behavior for Newton-Steffensen's method under Lipschitz condition of second derivative (English)
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31 August 2012
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The paper under review deals with the local and semilocal convergence problems for the Newton-Steffensen method applied to nonlinear operator equations in Banach spaces. Under the hypothesis that the second derivative of the operator considered satisfies the Lipschitz condition, the authors obtain a convergence criterion for the Newton-Steffensen method.
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Newton-Steffensen's method
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majorizing function
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majorizing sequence
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Lipschitz condition
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convergence criterion
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convergence radius
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