Identifying the Positive Definiteness of Even-Order Weakly Symmetric Tensors via <i>Z</i>-Eigenvalue Inclusion Sets

Identifying the Positive Definiteness of Even-Order Weakly Symmetric Tensors via <i>Z</i>-Eigenvalue Inclusion Sets

The positive definiteness of even-order weakly symmetric tensors plays important roles in asymptotic stability of time-invariant polynomial systems. In this paper, we establish two Brauer-type <i>Z</i>-eigenvalue inclusion sets with parameters by <i>Z</i>-identity tensors, an...

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Bibliographic Details
Main Authors: Feichao Shen, Ying Zhang, Gang Wang
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Symmetry
Subjects:
<i>Z</i>-eigenvalue inclusion set
positive definiteness
asymptotic stability
weakly symmetric tensor
Online Access:https://www.mdpi.com/2073-8994/13/7/1239

Internet

https://www.mdpi.com/2073-8994/13/7/1239

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