2022/12/02 by Liming Li, Li, Li-Ming, Shi-Liang Wu +1
Mathematics · Engineering · #Tensor decomposition and applications #Elasticity and Material Modeling
paper · pdf · doi:10.48550/arxiv.2212.01115
In this paper, we mainly focus on the existence and uniqueness of the vertical tensor complementarity problem. Firstly, combining the generalized-order linear complementarity problem with the tensor complementarity problem, the vertical tensor complementarity problem is introduced. Secondly, we define some sets of special tensors, and illustrate the inclusion relationships. Finally, we show that the solution set of the vertical tensor complementarity problem is bounded under certain conditions, and some sufficient conditions for the existence and uniqueness of the solution of the vertical tensor complementarity problem are obtained from the view of the degree theory and the equal form of the minimum function.