Title :
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
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;
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
DOI :
10.1109/CSO.2010.207