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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)
Publication Information
Journal of applied mathematics & informatics / v.28, no.3_4, 2010 , pp. 773-781 More about this Journal
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.
Keywords
Nonlinear equation; three-step iterative method; multi-step iterative method;
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