Ball convergence of the Newton-Gauss method in Banach space (Q1689255)
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scientific article; zbMATH DE number 6825222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ball convergence of the Newton-Gauss method in Banach space |
scientific article; zbMATH DE number 6825222 |
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Ball convergence of the Newton-Gauss method in Banach space (English)
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12 January 2018
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This paper is about the convergence of a fifth-order Newton method for solving nonlinear equations, based on the conditions on the first dervative. Some examples are given to illustrate the theory.
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Newton-Gauss method
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local convergence
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Banach space
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Fréchet-derivative
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generalized Lipschitz-Hölder-type conditions
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nonlinear operator equation
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0.96674293
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0.96588933
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0.9586809
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0.92952657
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0.9272251
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