Geodesic
Determining the positive definiteness of even-order weakly symmetric tensors via Brauer-type Z-eigenvalue inclusion sets
Filomat, Tome 37 (2023) no. 17, p. 5641

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DOI

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.
DOI : 10.2298/FIL2317641Z
Classification : 15A18, 15A69, 15A42
Keywords: Z-eigenvalue inclusion set, Z-identity tensors, Weakly symmetric tensor, Positive definiteness 
Mostafa Zangiabadi; Mohsen Tourang; Abbas Askarizadeh; Jun He. Determining the positive definiteness of even-order weakly symmetric tensors via Brauer-type Z-eigenvalue inclusion sets. Filomat, Tome 37 (2023) no. 17, p. 5641 . doi: 10.2298/FIL2317641Z
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     author = {Mostafa Zangiabadi and Mohsen Tourang and Abbas Askarizadeh and Jun He},
     title = {Determining the positive definiteness of even-order weakly symmetric tensors via {Brauer-type} {Z-eigenvalue} inclusion sets},
     journal = {Filomat},
     pages = {5641 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317641Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317641Z/}
}
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