Shadowing orbits and Kantorovich's theorem (Q1923329)
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scientific article; zbMATH DE number 932050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shadowing orbits and Kantorovich's theorem |
scientific article; zbMATH DE number 932050 |
Statements
Shadowing orbits and Kantorovich's theorem (English)
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25 May 1997
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The author points out the close connection between Kantorovich's theorem on convergence of Newton's method and the existence of a finite shadowing orbit of a given pseudo-orbit. This paper clarifies some results that are already known and simplifies their proofs.
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pseudo-orbits
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shadowing lemma
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Newton's method
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