On the comparison of a weak variant of the Newton--Kantorovich and Miranda theorems. (Q1428479)
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scientific article; zbMATH DE number 2062755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the comparison of a weak variant of the Newton--Kantorovich and Miranda theorems. |
scientific article; zbMATH DE number 2062755 |
Statements
On the comparison of a weak variant of the Newton--Kantorovich and Miranda theorems. (English)
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29 March 2004
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The author [J. Comput. Appl. Math. 157, 169--185 (2003; Zbl 1030.65060)] has shown a semi-local convergence theorem under weaker assumptions than those of the Newton-Kantorovich theorem. Operators satisfying the weakened Newton-Kantorovich conditions are shown to satisfy the conditions of the weakened Miranda theorem.
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Newton-Kantorovich theorem
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Miranda theorem
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Center-Lipschitz condition
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Miranda partition/domain/conditions
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Newton-Kantrovich hypothesis
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semi-local convergence
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0.9094721
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0.8791006
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0.8705765
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0.8625729
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