@article{Zhou2022, 
author = {Chen-Can Zhou and Qin-Qin Shen and Geng-Chen Yang and Quan Shi},
title = {A general modulus-based matrix splitting method for quasi-complementarity problem},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10994-11014},
keywords = {quasi-complementarity problem, modulus-based iteration method, matrix splitting, convergence},
url = {https://www.sciopen.com/article/10.3934/math.2022614},
doi = {10.3934/math.2022614},
abstract = {For large sparse quasi-complementarity problem (QCP), Wu and Guo [35] recently studied a modulus-based matrix splitting (MMS) iteration method, which belongs to a class of inner-outer iteration methods. In order to improve the convergence rate of the inner iteration so as to get fast convergence rate of the outer iteration, a general MMS (GMMS) iteration method is proposed in this paper. Convergence analyses on the GMMS method are studied in detail when the system matrix is either an        H          +      -matrix or a positive definite matrix. In the case of        H          +      -matrix, weaker convergence condition of the GMMS iteration method is obtained. Finally, two numerical experiments are conducted and the results indicate that the new proposed GMMS method achieves a better performance than the MMS iteration method.}
}