# 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)
• Published : 2011.05.01

#### 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.

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#### Cited by

1. Solving nonlinear equations by a new derivative free iterative method vol.217, pp.12, 2011, https://doi.org/10.1016/j.amc.2010.12.055