@Article{JICS-9-113, author = {Yanyan Zhu, Zhengshen Yu and Lina Zhang}, title = {A Fliter Method for Sloving LCP Based on Nonmonotone Line Search}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {9}, number = {2}, pages = {113--122}, abstract = {In this paper, we propose a filter method to solve the linear complementarity problem(LCP). By using the Fisher-Burmeister function, we convert the LCP to an equivalent optimization problem with linear equality constraints. A filter approach is employed to tackle the optimization problem and the proposed mechanism for accepting the trial step is obtained by a nonmonotone filter technique. Under some conditions, we establish the global convergence of the algorithm. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22588.html} }