AIMS Mathematics (Jan 2022)
An optimal Z-eigenvalue inclusion interval for a sixth-order tensor and its an application
Abstract
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.
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