Ball convergence theorems for eighth-order variants of Newton's method under weak conditions (Q889497)
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scientific article; zbMATH DE number 6505709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ball convergence theorems for eighth-order variants of Newton's method under weak conditions |
scientific article; zbMATH DE number 6505709 |
Statements
Ball convergence theorems for eighth-order variants of Newton's method under weak conditions (English)
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6 November 2015
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New local convergence analysis for an eighth-order method for solving equations based on contractive techniques and Lipschitz constants under hypotheses only on the first derivative is presented. A computable radius of convergence as well as error estimates are provided.
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ball convergence
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Newton method
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Lipschitz constants
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error estimates
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error bounds
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local convergence
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eighth-order method
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