定义在锥K上的张量互补问题解集的性质研究

Study on properties of solutions of the tensor complementarity problem defined on the cone K

本文将张量互补问题由非负锥R_(+)^(n)推广到更为一般的尖闭凸锥K上,并定义了新的结构张量.进一步证明了其相应的张量互补问题解集的唯一性、有界性以及紧性等性质.

This paper extend the tensor complementarity problem from the nonnegative cone R_(+)^(n) to a more general pointed closed convex cone K.This paper also introduces some new structured tensors,also proves the uniqueness,boundedness and compactness of solutions of the corresponding tensor complementarity problem.