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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 2008

A Root-Finding Algorithm with Fifth Order Derivatives

,
and
1
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
2
Department of Mathematics, Georgetown University, Washington, DC, USA
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl.2008, 13(2), 123-128;https://doi.org/10.3390/mca13020123
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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.

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