The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems

2016 ◽  
Vol 23 (3) ◽  
pp. 558-569 ◽  
Author(s):  
Na Huang ◽  
Changfeng Ma
Keyword(s):  
Complementarity Problems ◽  
Nonlinear Complementarity Problems ◽  
Matrix Splitting ◽  
Weakly Nonlinear ◽  
Splitting Algorithms ◽  
Nonlinear Complementarity

scholarly journals An Efficient Class of Modulus-Based Matrix Splitting Methods for Nonlinear Complementarity Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Shui-Lian Xie ◽  
Hong-Ru Xu
Keyword(s):  
Fixed Point ◽  
Efficient Method ◽  
Iteration Method ◽  
Complementarity Problems ◽  
Splitting Methods ◽  
Nonlinear Complementarity Problems ◽  
Matrix Splitting ◽  
Equivalent System ◽  
Nonlinear Complementarity ◽  
Splitting Iteration Method

In this paper, we present an efficient method for finding a numerical solution for nonlinear complementarity problems (NCPs). We first reformulate an NCP as an equivalent system of fixed-point equations and then present a modulus-based matrix splitting iteration method. We prove the convergence of the proposed method with theorems with the relevant conditions. Our preliminary numerical results show that the method is feasible and effective.

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