Two-step iterative methods for nonlinear equations

doi:10.1016/j.amc.2006.01.065

2006-10-01

PRE

Muhammad Aslam Noor *

Faizan Ahmad

Shumaila Javeed

DOI：10.1016/j.amc.2006.01.065

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摘要

En 中文

In recent years several iterative methods have been suggested and analyzed for solving nonlinear equation f(x) = 0. All these methods can be classified as one-step and two-step methods. In this paper, we consider and analyze two-step iterative methods for solving nonlinear equations. It is shown that two-step iterative methods are more efficient than one-step methods including Newton method. Several numerical examples are given to illustrate this comparison. Our results can be viewed as important refinement and improvement of the previously known results. (c) 2006 Elsevier Inc. All rights reserved.

Keyword:

nonlinear equations

Newton method

predictor-corrector methods

one-step methods

two-step methods

numerical examples