An optimal $ Z $-eigenvalue inclusion interval for a sixth-order tensor and its an application

An optimal $ Z $-eigenvalue inclusion interval for a sixth-order tensor is presented. As an application, a sufficient condition for the positive definiteness of a sixth-order real symmetric tensor (also a homogeneous polynomial form) is obtained, which is used to judge the asymptotically stability o...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 1; pp. 967 - 985
Main Author Yao, Tinglan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
inclusion intervals
positive definiteness
sixth-order tensors
z-eigenvalues
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Summary:An optimal $ Z $-eigenvalue inclusion interval for a sixth-order tensor is presented. As an application, a sufficient condition for the positive definiteness of a sixth-order real symmetric tensor (also a homogeneous polynomial form) is obtained, which is used to judge the asymptotically stability of time-invariant polynomial systems.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022058