The relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems of positive definite matrices

2018 ◽  
Vol 321 ◽  
pp. 349-357 ◽  
Author(s):  
Baolian Wen ◽  
Hua Zheng ◽  
Wen Li ◽  
Xiaofei Peng
Keyword(s):  
Iteration Method ◽  
Complementarity Problems ◽  
Linear Complementarity Problems ◽  
Relaxation Modulus ◽  
Linear Complementarity ◽  
Positive Definite ◽  
Matrix Splitting ◽  
Positive Definite Matrices ◽  
Splitting Iteration Method

scholarly journals Two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems

Filomat ◽  
2020 ◽  
Vol 34 (7) ◽  
pp. 2171-2184
Author(s):  
Lu Jia ◽  
Xiang Wang ◽  
Xuan-Sheng Wang
Keyword(s):  
Theoretical Analysis ◽  
Linear Complementarity Problem ◽  
Iteration Method ◽  
Complementarity Problem ◽  
Numerical Experiments ◽  
Complementarity Problems ◽  
Linear Complementarity Problems ◽  
Linear Complementarity ◽  
Matrix Splitting ◽  
Splitting Iteration Method

The modulus-based matrix splitting iteration has received substantial attention as a momentous tool for complementarity problems. For the purpose of solving the horizontal linear complementarity problem, we introduce the two-step modulus-based matrix splitting iteration method. We also show the theoretical analysis of the convergence. Numerical experiments illustrate the effectiveness of the proposed approach.

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