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Math. Comput. Appl. 2008, 13(2), 123-128; doi:10.3390/mca13020123

A Root-Finding Algorithm with Fifth Order Derivatives

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.
Published: 1 August 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.
Keywords: Root finding algorithms; perturbation theory Root finding algorithms; perturbation theory
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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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.

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