题 目：Properties of the Nonnegative Solution Set of Multi-linear Equations
报 告 人：黄正海 教授 (邀请人：李董辉)
时 间：2018-05-17 10:30--11:30
Multi-linear equations and tensor complementarity problems are two hot topics in recent years. It is known that the nonnegative solution set of multi-linear equations is a subset of the solution set of the corresponding tensor complementarity problem. We first investigate the existence and uniqueness of nonnegative (positive) solution to multi-linear equations induced by some triangular tensors; and then, we discuss the non-existence of nonnegative solution to multi-linear equations induced by B (B0) tensors or strictly diagonally dominant tensors. In addition, we also investigate the boundedness of the nonnegative solution set of multi-linear equations with some structured tensors. The obtained properties of the nonnegative solution set of multi-linear equations give some characteristics on the solution set of tensor complementarity problems.