A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index (Q540281)
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scientific article; zbMATH DE number 5903395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index |
scientific article; zbMATH DE number 5903395 |
Statements
A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index (English)
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1 June 2011
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A biparametric family of four-step multipoint iterative methods to solve nonlinear equations is given. Convergence of sixteenth order is established, and the efficiency index is found to be the optimal one \(16^{1/5}\approx 1.741101\). Numerical experiments compare the new method with existing methods.
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optimal order
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biparametric family
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asymptotic error constant
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efficiency index
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four-step multipoint iterative methods
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nonlinear equations
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convergence of sixteenth order
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numerical experiments
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