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Song, Y. and Qi, L. (2017) Properties of Tensor Complemenatiry Problem and Some Classes of Structured Tensors. Annals of Applied Mathematics, 33, 308-323.

has been cited by the following article:

• 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.