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A new sixth-order scheme for nonlinear equations
Authors:Changbum Chun  Beny Neta
Institution:
  • a Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
  • b Naval Postgraduate School, Department of Applied Mathematics, Monterey, CA 93943, United States
  • 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.
    Keywords:Newton&rsquo  s method  Iterative methods  Nonlinear equations  Order of convergence  Root-finding methods
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