Modified Jarratt method for computing multiple roots (Q711336)
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scientific article; zbMATH DE number 5804947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modified Jarratt method for computing multiple roots |
scientific article; zbMATH DE number 5804947 |
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Modified Jarratt method for computing multiple roots (English)
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25 October 2010
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Construction of iterative methods of optimal order for multiple roots is a difficult problem in numerical analysis. A fourth order method for computing multiple roots of nonlinear equations \((f(x)=0)\) is presented. The method is based on the Jarratt scheme for simple roots. The method is optimal, since it requires three evaluations per step. The efficacy is tested on the a number of relevant numerical problems.
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root finding
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Jarratt method
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multiple roots
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order of convergence
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efficiency
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