A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative (Q5962631)
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scientific article; zbMATH DE number 6541590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative |
scientific article; zbMATH DE number 6541590 |
Statements
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative (English)
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15 February 2016
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A local convergence analysis for at least five-order variants of Chebyshev-Halley-type methods in order to approximate a solution of a nonlinear equation is conducted. Conditions which contain up to the first derivative are invented. The dynamical analyses of these methods are also given. Results of numerical experiments are exposed.
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Chebyshev-Halley-type methods
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local convergence
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order of convergence
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dynamics
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numerical experiment
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