A new Brauer-type Z -eigenvalue inclusion set for even-order tensors
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY(2022)
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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关键词
Even-order tensors, Z-eigenvalues, Inclusion sets, Positive definiteness, Asymptotic stability
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