A root-finding algorithm with fifth order derivatives (Q938553)
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scientific article; zbMATH DE number 5316123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A root-finding algorithm with fifth order derivatives |
scientific article; zbMATH DE number 5316123 |
Statements
A root-finding algorithm with fifth order derivatives (English)
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26 August 2008
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Perturbation theory is used to generate a root finding algorithm with fifth order derivatives. The algorithm is called quintuple-correction-term algorithm. The new algorithm is contrasted with the previous quadruple-correction-term and triple-correction-term algorithms in the literature. It is found that adding a fifth correction term in the algorithm does not improve the performance.
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numerical examples
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nonlinear equation
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root finding algorithms
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perturbation theory
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