Abstract
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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Acknowledgements
This work is supported by Guizhou Provincial Science and Technology Projects (Grant Nos. QKHJC-ZK[2021]YB013; QKHJC-ZK[2022]YB215).
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Communicated by Rosihan M. Ali.
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Bai, S. A new Brauer-type Z-eigenvalue inclusion set for even-order tensors. Bull. Malays. Math. Sci. Soc. 46, 13 (2023). https://doi.org/10.1007/s40840-022-01402-0
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DOI: https://doi.org/10.1007/s40840-022-01402-0