TITLE:
A Monotone Semismooth Newton Method for a Kind of Tensor Complementarity Problem
AUTHORS:
Shuilian Xie
KEYWORDS:
Tensor Complementarity Problem, M-Like Tensor, Semismooth Newton Method, Monotone Convergence
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.4,
April
29,
2021
ABSTRACT: Tensor complementarity problem (TCP) is a special kind of nonlinear complementarity problem (NCP). In this paper, we introduce a new class of structure tensor and give some examples. By transforming the TCP to the system of nonsmooth equations, we develop a semismooth Newton method for the tensor complementarity problem. We prove the monotone convergence theorem for the proposed method under proper conditions.