A Two-Parameter Family of Combined Iterative Methods for Solving Nonlinear Equations

Author

Zheng, Xueliang ; Chen, Shuping

Author_Institution

Coll. of Math. & Inf. Eng., Taizhou Univ., Linhai, China

Volume

1

fYear

2010

fDate

28-31 May 2010

Firstpage

209

Lastpage

212

Abstract

In this paper, a new two-parameter family of combined iterative methods for solving nonlinear equations is presented. The new methods require two evaluations of the function and two evaluations of its first derivative. Numerical tests show that the number of iterations of the new methods is less than that of the Newton´s method and some methods with third-order convergence. It is found that it only adds the evaluation of the function at another point, but its convergence order can be increased above the original level.

Keywords

Newton method; nonlinear equations; Newton method; combined iterative methods; nonlinear equations; third-order convergence; Concrete; Convergence of numerical methods; Educational institutions; Information analysis; Iterative methods; Mathematics; Newton method; Nonlinear equations; Optimization methods; Testing; Combined iterative methods; Newton´s method; Nonlinear equations; Order of convergence; Simple root;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Science and Optimization (CSO), 2010 Third International Joint Conference on

Conference_Location

Huangshan, Anhui

Print_ISBN

978-1-4244-6812-6

Electronic_ISBN

978-1-4244-6813-3

Type

conf

DOI

10.1109/CSO.2010.207

Filename

5533142