Ostrowski-like method with corrections for the inclusion of polynomial zeros (Q701959)
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scientific article; zbMATH DE number 2128432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ostrowski-like method with corrections for the inclusion of polynomial zeros |
scientific article; zbMATH DE number 2128432 |
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Ostrowski-like method with corrections for the inclusion of polynomial zeros (English)
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17 January 2005
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The authors present an Ostrowski-like algorithm for simultaneous inclusion of polynomial zeros implemented in circular complex arithmetic. The resulting full-step method is proved to be of the \(R\)-order of convergence 5 for Newton's correction and 6 for Halley's correction.
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circular complex arithmetic
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Ostrowski-like algorithm
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inclusion of polynomial zeros
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full-step method
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convergence
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Newton's correction
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Halley's correction
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