A one-parameter family of third-order methods to solve nonlinear equations

In this paper we present a new one-parameter family of iterative methods to solve nonlinear equations which includes some well-known third-order methods as particular ones. The convergence analysis shows that the order of convergence of each method of the family is three. Numerical examples are given to illustrate the efficiency and performance of the presented methods. Ó 2006 Elsevier Inc. All rights reserved.

• Type: Journal
• Year: 2007
• Where: AMC
• Authors: Changbum Chun
• Keywords: AMC 2007, Convergence Analysis, Iterative Methods, Well-known Third-order Methods