Linearized method for solving the M-tensor complementarity problem

报告人简介：华南师范大学数学科学学院教授，博士生导师，先后访问京都大学，新南威尔士大学，香港理工大学，香港城市大学，台湾成功大学。连续主持国家自然科学基金6项，主持教育部重大项目1项，曾任中国运筹学会常务理事，数学规划分会常务理事，湖南省计算数学暨应用软件学会副理事长，广东省运筹学会副理事长。

报告内容：We propose a linearized method for solving the M-tensor complementarity problem where the subproblems are lsower dimensional linear equations. The coefficient matrices of the lower dimensional linear systems are independent of the iteration after finitely many iterations. We show that starting from zero or some nonnegative point, the method generates a sequence of iterates that converges to a solution of the problem monotonically. We then make an improvement to the method and establish its monotone convergence. At last, we do numerical experiments to test the proposed methods. The results positively support the proposed methods.