On Halley iteration (Q1282367)
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scientific article; zbMATH DE number 1271908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Halley iteration |
scientific article; zbMATH DE number 1271908 |
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On Halley iteration (English)
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10 October 1999
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In contrast to the Newton iteration, the Halley iteration formula contains an additional term in the denominator which increases the order by 1. There is also a modification for multiple roots. The investigations center around an analogy to the Newton-Kantorovich theorem. Moreover, the modification for \(m\)-fold roots does not shoot over \(m\) zeros in the real case.
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Halley iteration
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multiple roots
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0.8456562
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0.8430388
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0.83987665
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