On the monotone convergence of a Chebysheff-Halley method in partially ordered topological spaces (Q2747463)
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scientific article; zbMATH DE number 1657783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the monotone convergence of a Chebysheff-Halley method in partially ordered topological spaces |
scientific article; zbMATH DE number 1657783 |
Statements
2 July 2002
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partially ordered topological space
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Chebyshev-Halley method
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nonlinear operator equation
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monotone convergence
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method of tangent hyperbolas
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0.9960009
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0.92046547
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0.8747332
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0.87271494
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0.86818653
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0.8660001
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On the monotone convergence of a Chebysheff-Halley method in partially ordered topological spaces (English)
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This paper is concerned with the problem of approximating a solution \(x^{\ast}\) of the nonlinear operator equation \(F(x)=0\) in a regular partially ordered topological space \(E_1\), where \(F\) is defined on a convex subset \(D\) of a partially ordered topological space \(E_2\). The author provides sufficient conditions for the monotone convergence of a Chebyshev-Halley-type method (the method of tangent hyperbolas).
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