A new Brauer-type Z-eigenvalue inclusion set for even-order tensors

被引：0
|
作者：
Shunjie Bai
机构：
[1] Guizhou Minzu University,School of Data Science and Information Engineering
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2023年 / 46卷
关键词：
Even-order tensors; -eigenvalues; Inclusion sets; Positive definiteness; Asymptotic stability; 15A18; 15A42; 15A69;
D O I：
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学科分类号：
摘要：
A new Brauer-type Z-eigenvalue inclusion set for an even-order real tensor is presented. It is proved that it is tighter than the existing inclusion sets. As an application, a sufficient condition for the positive definiteness of an even-order real symmetric tensor (also a homogeneous polynomial form) and asymptotically stability of time-invariant polynomial systems is given.
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