A lower dimensional linear equation approach to the M-tensor complementarity problem

We are interested in finding a solution to the tensor complementarity problem with strong M-tensor, which we call M-tensor problem. propose lower dimensional linear equation approach solve that At each iteration, only system of needs be solved. The coefficient matrices systems independent iteration after finitely many iterations. show starting from zero or some nonnegative point, method generates sequence iterates converges monotonically. then make an improvement and establish its monotone convergence. last, do numerical experiments test proposed methods. results positively support