Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2009.11.20
  • Published : 2011.05.01
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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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References

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