Determining the positive definiteness of even-order weakly symmetric tensors via Brauer-type ‎Z‎-‎eigenvalue inclusion ‎sets

Mostafa Zangiabadi, Mohsen Tourang, Abbas Askarizadeh, Jun He

Abstract


‎This article presents sufficient conditions for the positive definiteness of even-order weakly symmetric tensors, based on some new Brauer-type Z-eigenvalue inclusion sets. ‎In ‎fact‎, ‎these‎ inclusion sets are obtained using the partitions of the index set‎, which improves some of the existing results.‎

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