A GENERAL FORM OF MULTI-STEP ITERATIVE METHODS FOR NONLINEAR EQUATIONS

  • Oh, Se-Young (Department of Mathematics, Chungnam National University) ;
  • Yun, Jae-Heon (Department of Mathematics, College of Natural Sciences, Chungbuk National University)
  • Received : 2009.10.08
  • Accepted : 2010.01.16
  • Published : 2010.05.30

Abstract

Recently, Yun [8] proposed a new three-step iterative method with the fourth-order convergence for solving nonlinear equations. By using his ideas, we develop a general form of multi-step iterative methods with higher order convergence for solving nonlinear equations, and then we study convergence analysis of the multi-step iterative methods. Lastly, some numerical experiments are given to illustrate the performance of the multi-step iterative methods.

Acknowledgement

Supported by : Chungbuk National University

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