Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models

Econometrica ◽  
1995 ◽  
Vol 63 (1) ◽  
pp. 195 ◽  
Author(s):  
George W. Evans ◽  
Seppo Honkapohja
Keyword(s):  
Local Convergence ◽  
Nonlinear Models ◽  
Steady States ◽  
Recursive Learning

scholarly journals Inverse Numerical Iterative Technique for Finding all Roots of Nonlinear Equations with Engineering Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Mudassir Shams ◽  
Naila Rafiq ◽  
Babar Ahmad ◽  
Nazir Ahmad Mir
Keyword(s):  
Lower Bound ◽  
Nonlinear Equation ◽  
Iterative Method ◽  
Local Convergence ◽  
Nonlinear Models ◽  
Numerical Test ◽  
Convergence Order ◽  
Iterative Technique ◽  
Simultaneous Methods ◽  
Engineering Sciences

We introduce here a new two-step derivate-free inverse simultaneous iterative method for estimating all roots of nonlinear equation. It is proved that convergence order of the newly constructed method is four. Lower bound of the convergence order is determined using Mathematica and verified with theoretical local convergence order of the method introduced. Some nonlinear models which are taken from physical and engineering sciences as numerical test examples to demonstrate the performance and efficiency of the newly constructed modified inverse simultaneous methods as compared to classical methods existing in literature are presented. Dynamical planes and residual graphs are drawn using MATLAB to elaborate efficiency, robustness, and authentication in its domain.

Sign in / Sign up

Export Citation Format

Share Document