Local convergence of deformed Jarratt-type methods in Banach space without inverses (Q2806096)
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scientific article; zbMATH DE number 6580722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local convergence of deformed Jarratt-type methods in Banach space without inverses |
scientific article; zbMATH DE number 6580722 |
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Local convergence of deformed Jarratt-type methods in Banach space without inverses (English)
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13 May 2016
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nonlinear operator equations
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Banach spaces
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local convergence
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Jarratt-type method
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Fréchet-derivative
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numerical example
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This paper presents a local convergence analysis for high-order Jarratt-type methods for approximating a solution of a nonlinear equation in a Banach space. The analysis requires only certain conditions on the first Fréchet derivative. The paper concludes with one numerical example in \(\mathbb{R}^3\).
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