A root-finding algorithm with fifth order derivatives
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Date
2008
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Abstract
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.