$U$-Eigenvalues’ Inclusion Sets of Complex Tensors
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@Article{AAM-39-79,
author = {Yang , Chunlin and Yao , Hongmei},
title = {$U$-Eigenvalues’ Inclusion Sets of Complex Tensors},
journal = {Annals of Applied Mathematics},
year = {2023},
volume = {39},
number = {1},
pages = {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.
}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2023-0006}, url = {http://global-sci.org/intro/article_detail/aam/21634.html} }
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.
Chunlin Yang & Hongmei Yao. (2023). $U$-Eigenvalues’ Inclusion Sets of Complex Tensors.
Annals of Applied Mathematics. 39 (1).
79-98.
doi:10.4208/aam.OA-2023-0006
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