A new sixth-order scheme for nonlinear equations |
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Authors: | Changbum Chun Beny Neta |
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Institution: | a Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Koreab Naval Postgraduate School, Department of Applied Mathematics, Monterey, CA 93943, United States |
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Abstract: | In this paper we present a new efficient sixth-order scheme for nonlinear equations. The method is compared to several members of the family of methods developed by Neta (1979) B. Neta, A sixth-order family of methods for nonlinear equations, Int. J. Comput. Math. 7 (1979) 157-161]. It is shown that the new method is an improvement over this well known scheme. |
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Keywords: | Newton&rsquo s method Iterative methods Nonlinear equations Order of convergence Root-finding methods |
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