A one-parameter fourth-order family of iterative methods for nonlinear equations

作者：Chun Changbum^*; Ham YoonMee

来源：Applied Mathematics and Computation, 2007, 189(1): 610-614.

DOI：10.1016/j.amc.2006.11.113

• Newton's method
• iterative methods
• nonlinear equations
• order of convergence

In this paper, we present a new one-parameter fourth-order family of iterative methods for solving nonlinear equations. The new family requires two evaluations of the given function and one of its first derivative per iteration. The well-known Traub-Ostrowski's fourth-order method is shown to be part of the family. Several numerical examples are given to illustrate the efficiency and performance of the presented methods.

• 出版日期2007-6-1