Open AccessTwo-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems
Author(s) -
Lü Jia,
Xiang Wang,
Xuan-Sheng Wang
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2007171j
Subject(s) - complementarity (molecular biology) , mathematics , linear complementarity problem , modulus , mixed complementarity problem , convergence (economics) , matrix (chemical analysis) , complementarity theory , matrix splitting , mathematical optimization , iterative method , algorithm , mathematical analysis , state transition matrix , symmetric matrix , geometry , nonlinear system , eigenvalues and eigenvectors , genetics , physics , materials science , quantum mechanics , economics , composite material , biology , economic growth
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.