Solving tensor complementarity problems with Z -tensors via a weighted fixed point method.

Tian, Liyuan; Wang, Yong

In this paper, we focus on solving the tensor complementarity problems with $ Z $-tensors. To this end, a weighted fixed point method is proposed for solving such tensor complementarity problems. Then, it is showed that the iterative sequence generated by the algorithm is monotonically decreasing with the help of $ Z $-tensors. Moreover, the limit point of the iterative sequence is a solution of the corresponding tensor complementarity problem. Finally numerical experiments show the effectiveness of the algorithm and testify the theoretical conclusions.

COMPLEMENTARITY constraints (Mathematics); LINEAR complementarity problem

Journal of Industrial & Management Optimization, 2023, Vol 19, Issue 5, p1

1547-5816

Academic Journal

10.3934/jimo.2022093