Title :
The construction of iterative methods with higher convergence
Author :
Yu, Cheng ; Cao, Qiang ; Hu, Xiao ; Xu, Yueliang
Author_Institution :
Dept. of Math., Southwest Jiaotong Univ., Chengdu, China
Abstract :
In this paper, we prove that iterative methods with higher convergence to solve nonlinear equations can be obtained either by using the higher derivatives or by using more iterative steps. Based on these theories we developed some new iterative methods which converge fast. The numerical tests also corroborate our results.
Keywords :
convergence of numerical methods; iterative methods; nonlinear equations; higher convergence; higher derivatives; iterative methods; nonlinear equations; Convergence; Iterative methods; Mathematical model; Nonlinear equations; Polynomials; convergence; iterative methods; nonlinear equations;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6001709
