On the complex dynamics of continued and discrete Cauchy's method (Q1679938)
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scientific article; zbMATH DE number 6810931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complex dynamics of continued and discrete Cauchy's method |
scientific article; zbMATH DE number 6810931 |
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On the complex dynamics of continued and discrete Cauchy's method (English)
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22 November 2017
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Summary: Let \(p\) be a complex polynomial of fixed degree \(n\). In this paper we show that Cauchy's method may fail to find all zeros of \(p\) for any initial guess \(z_0\) lying in the complex plane and we propose several ways to find all zeros of a given polynomial using scaled Cauchy's methods.
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0.8803021
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0.8552773
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0.8548423
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0.85104406
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