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http://dx.doi.org/10.4134/JKMS.2011.48.3.487

A QUADRATICALLY CONVERGENT ITERATIVE METHOD FOR NONLINEAR EQUATIONS  

Yun, Beong-In (Department of Informatics and Statistics Kunsan National University)
Petkovic, Miodrag S. (Department of Mathematics Faculty of Electronic Engineering University of Nis)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.3, 2011 , pp. 487-497 More about this Journal
Abstract
In this paper we propose a simple iterative method for finding a root of a nonlinear equation. It is shown that the new method, which does not require any derivatives, has a quadratic convergence order. In addition, one can find that a hybrid method combined with the non-iterative method can further improve the convergence rate. To show the efficiency of the presented method we give some numerical examples.
Keywords
nonlinear equation; iterative method; quadratic convergence; hybrid method;
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