Title :
An Efficient Fifth Order Method for Systems of Nonlinear Equations
Author :
Qing Liu ; Jieqing Tan ; Lei He
Author_Institution :
Sch. of Math., Hefei Univ. of Technol., Hefei, China
Abstract :
In this paper, we derive a new iterative method of order five to solve the system of nonlinear equations. The new method is based on the two-step iterative method of order three proposed by Sharma and Gupta in [5]. The efficiency index is used to compare the efficiency of the new method with those of other ones. Numerical examples are given to show that the proposed method has higher efficiency than others.
Keywords :
iterative methods; nonlinear equations; efficiency index; fifth order method; nonlinear equations; order five iterative method; two-step iterative method; Convergence; Educational institutions; Indexes; Iterative methods; Newton method; Nonlinear equations;
Conference_Titel :
Digital Home (ICDH), 2014 5th International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4799-4285-5
DOI :
10.1109/ICDH.2014.70
