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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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Article

A Root-Finding Algorithm with Fifth Order Derivatives

by
M. Pakdemirli
1,*,
H. Boyacı
1,* and
H. A. Yurtsever
2
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
Published: 1 August 2008
Versions Notes

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.
Keywords: Root finding algorithms; perturbation theory Root finding algorithms; perturbation theory

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MDPI and ACS Style

Pakdemirli, M.; Boyacı, H.; Yurtsever, H.A. A Root-Finding Algorithm with Fifth Order Derivatives. Math. Comput. Appl. 2008, 13, 123-128. https://doi.org/10.3390/mca13020123

AMA Style

Pakdemirli M, Boyacı H, Yurtsever HA. A Root-Finding Algorithm with Fifth Order Derivatives. Mathematical and Computational Applications. 2008; 13(2):123-128. https://doi.org/10.3390/mca13020123

Chicago/Turabian Style

Pakdemirli, M., H. Boyacı, and H. A. Yurtsever. 2008. "A Root-Finding Algorithm with Fifth Order Derivatives" Mathematical and Computational Applications 13, no. 2: 123-128. https://doi.org/10.3390/mca13020123

APA Style

Pakdemirli, M., Boyacı, H., & Yurtsever, H. A. (2008). A Root-Finding Algorithm with Fifth Order Derivatives. Mathematical and Computational Applications, 13(2), 123-128. https://doi.org/10.3390/mca13020123

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