$U$-Eigenvalues’ Inclusion Sets of Complex Tensors

$U$-Eigenvalues’ Inclusion Sets of Complex Tensors

Year:    2023

Author:    Chunlin Yang, Hongmei Yao

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 1 : pp. 79–98

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aam.OA-2023-0006

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 1 : pp. 79–98

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Complex tensor $US$-eigenvalue $U$-eigenvalue inclusion set.

Author Details

Chunlin Yang

Hongmei Yao