New S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor with applications

Jun He, Yanmin Liu and Guangjun Xu

Applied Mathematics and Computation, 2021, vol. 398, issue C

Abstract: Two new S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor are established. These inclusion theorems provide upper bounds for the M-spectral radius of 4th-order partially symmetric tensors. Finally, the M-positive definiteness for 4th-order partially symmetric tensors are further studied and two sufficient conditions are also presented based on the two new S-type M-eigenvalue inclusion theorems.

Keywords: 4th-order partially symmetric tensor; M-positive definiteness; M-eigenvalue; S-type inclusion theorems (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:398:y:2021:i:c:s0096300321000400

DOI: 10.1016/j.amc.2021.125992

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