On a monotone Newton-like method (Q1092613)
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scientific article; zbMATH DE number 4020338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a monotone Newton-like method |
scientific article; zbMATH DE number 4020338 |
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On a monotone Newton-like method (English)
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1987
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We present an iterative algorithm for solving nonlinear systems of equations which is monotonically and superlinearly convergent for a large class of problems. In the construction of the algorithm we use some fixed bounds of the second derivatives. For convex mappings the algorithm reduces to the Newton-Fourier method.
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superlinear convergence
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Newton-like methods
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monotone convergence
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convex mappings
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Newton-Fourier method
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0.95151365
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0.9474947
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0.93999845
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0.9209056
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0.9204379
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