On iterates of Möbius transformations on fields (Q2719082)
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scientific article; zbMATH DE number 1597969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On iterates of Möbius transformations on fields |
scientific article; zbMATH DE number 1597969 |
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On iterates of Möbius transformations on fields (English)
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14 May 2001
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Fibonacci numbers
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Newton's method
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secant method
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Aitken acceleration
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Möbius transformation
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splitting field
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order of convergence
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0.89108264
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0.8840939
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0.88394403
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0.8810414
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0.8789123
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A new and easy proof of Aitken acceleration as well as generalizations of know results concerning Newton's method, the secant method, Halley method, and higher order methods are established. The main idea is to consider a certain commutative binary relation.
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