Title : 
Superlinear convergence order of the simple iterative method
         
        
        
            Author_Institution : 
Sch. of Math., Beihua Univ., Jilin, China
         
        
        
        
        
        
            Abstract : 
Iterative method is an important technique to solve the approximate root for nonlinear equations. This paper gives a perfect solution of convergence rate problem. Some examples are given and numerical tests are done by Matlab. Numerical results support our theoretical result.
         
        
            Keywords : 
approximation theory; convergence of numerical methods; iterative methods; mathematics computing; nonlinear equations; Matlab; approximate root; convergence rate problem; iterative method; nonlinear equations; superlinear convergence order; Convergence; Educational institutions; Estimation; Iterative methods; Nonlinear equations; Superlinear; convergence order; iterative method;
         
        
        
        
            Conference_Titel : 
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
         
        
            Conference_Location : 
Jilin
         
        
            Print_ISBN : 
978-1-61284-719-1
         
        
        
            DOI : 
10.1109/MEC.2011.6025697