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L. Fang and G. He, “Some Modifications of Newton’s Method with Higher-Order Convergence for Solving Nonlinear Equations,” Journal of Computational and Applied Mathematics, Vol. 228, No. 1, 2009, pp. 296-303. doi:10.1016/j.cam.2008.09.023

has been cited by the following article:

• TITLE: A New Family of Nonlinear Fifth-Order Solvers for Finding Simple Roots

  AUTHORS: Behzad Ghanbari

  KEYWORDS: Iterative Methods; Simple-Root of Nonlinear Equations; Newton’s Method

  JOURNAL NAME: Applied Mathematics, Vol.3 No.6, June 26, 2012

  ABSTRACT: In this paper, we present a new family of iterative methods for solving nonlinear equations. It is proved that the order of convergence of this family is five. Two functions and two derivative evaluations should be computed per iteration. To demonstrate convergence properties of the proposed family of methods, some numerical examples are given. Further numerical comparisons are made with several other existing fifth-order methods.