Semilocal convergence of a class of modified super-Halley methods in Banach spaces (Q438773)
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scientific article; zbMATH DE number 6062504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semilocal convergence of a class of modified super-Halley methods in Banach spaces |
scientific article; zbMATH DE number 6062504 |
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Semilocal convergence of a class of modified super-Halley methods in Banach spaces (English)
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31 July 2012
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The authors consider the semilocal convergence of a class of modified super-Halley methods for solving nonlinear equations in Banach spaces. The semilocal convergence of this class of methods is established by using recurrence relations. A system of recurrence relations for the methods is constructed, and based on it, an existence-uniqueness theorem that shows the \(R\)-order of the methods is proved.
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nonlinear equations in Banach spaces
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semilocal convergence
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recurrence relations
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super-Halley method
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iterative method
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