The Open Numerical Methods Journal

2010, 2 : 6-11
Published online 2010 April 14. DOI: 10.2174/1876389801002010006
Publisher ID: TONUMJ-2-6

Wei Li and Hong Chen
Institute of Operational Research & Cybernetics Hangzhou Dianzi University, Hangzhou, 310018, P.R. China

ABSTRACT

In this paper, a unified framework is proposed for constructing higher-order modifications of Newton’s method based on the existing iteration formulas. Some recently developed iterative methods are special cases of our approach. Also, many new iterative methods can be developed by using the proposed unified framework.

Keywords:

Nonlinear equations, Iterative method, Newton’s method, Order of convergence.