$U$-Eigenvalues’ Inclusion Sets of Complex Tensors

Abstract

In this paper, we study some inclusion sets of $US$-eigenvalues and $U$-eigenvalues based on quantum information. We give three inclusion sets theorems of $US$-eigenvalues and two inclusion sets theorems of $U$-eigenvalues. And we obtain the relationships among these inclusion sets. Some numerical examples are shown to illustrate the conclusions.