Associate professor
Supervisor of Master's Candidates
Hits:
Affiliation of Author(s):数学与统计学院
Teaching and Research Group:数学教研室
Journal:Journal of Applied Mathematics
Funded by:其他课题
Key Words:Newton’s method;Iterative Method;Nonlinear Equation;Exponential Model
Abstract:We present two new families of iterative methods for obtaining simple roots of nonlinear equations.The first family is developed by fitting the model to the function and its derivative at a point. In order to remove the second derivative of the first methods, we construct the second family of iterative methods by approximating the equation around the point by the quadratic equation. Analysis of convergence shows that the new methods have thirdorderor higher convergence. Numerical experiments show that new iterative methods are effective and comparable to those of the well-known existing methods.
First Author:liutianbao
Indexed by:Journal paper
Volume:2013
Issue:2013
Page Number:1
Number of Words:2
Translation or Not:no
Date of Publication:2013-11-02
