Weak sufficient convergence conditions and applications for Newton methods (Q1885064)
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scientific article; zbMATH DE number 2111236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak sufficient convergence conditions and applications for Newton methods |
scientific article; zbMATH DE number 2111236 |
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Weak sufficient convergence conditions and applications for Newton methods (English)
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28 October 2004
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For Newton-like methods applied to a nonlinear operator equation on a Banach space the author proves a semilocal convergence result under slightly weakened Newton Kantorovich hypotheses involving Lipschitz as well as center-Lipschitz conditions. Some numerical examples show a modest improvement of the error bounds.
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Newton-like methods
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Banach space
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semilocal convergence
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error bounds
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Newton-Kantorovich hypothesis
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nonlinear operator equation
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numerical examples
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