Convergence of directional methods under mild differentiability and applications (Q546052)
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scientific article; zbMATH DE number 5912680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of directional methods under mild differentiability and applications |
scientific article; zbMATH DE number 5912680 |
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Convergence of directional methods under mild differentiability and applications (English)
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24 June 2011
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This paper deals with the convergence analysis of the directional Newton method (DNM) for approximating a zero of a differentiable function defined on a convex set. A semilocal convergence analysis for DNM is provided. Some sufficient conditions on convergence as well as the corresponding error bounds are provided. Several previous results are extended or improved.
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directional Newton method
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systems of nonlinear equations
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convergence
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error bounds
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Hilbert space
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Banach space
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zero of a differentiable function
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semilocal convergence
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