TY - JOUR T1 - $U$-Eigenvalues’ Inclusion Sets of Complex Tensors AU - Yang , Chunlin AU - Yao , Hongmei JO - Annals of Applied Mathematics VL - 1 SP - 79 EP - 98 PY - 2023 DA - 2023/04 SN - 39 DO - http://doi.org/10.4208/aam.OA-2023-0006 UR - https://global-sci.org/intro/article_detail/aam/21634.html KW - Complex tensor, $US$-eigenvalue, $U$-eigenvalue, inclusion set. AB -

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.