Upper bounds for eigenvalues of Cauchy-Hankel tensors

Mei, Wei; Yang, Qingzhi

doi:10.1007/s11464-021-0890-0

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2024

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Cited by 1 publication

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“…Solving ρ (A) in inequality (17) gives 2,13]) Consider the symmetric tensor A = (a ijkl ) ∈ R [4,2] , with entries defined as follows:…”

Section: Thusmentioning

confidence: 99%

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Optimal Z1-eigenvalue inclusion intervals for tensors and their application

Saieedi,

Fathi,

Zangiabadi

2024

MFC

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Z 1 -eigenvalue problem plays an important role in the transition probability tensors. In this paper, a new Brauer-type Z 1 -eigenvalue localization set with parameters by Z 1 -identity tensors is given. Based on this set, a sharper bound for the Z 1 -spectral radius of weakly symmetric nonnegative tensors is obtained. Furthermore, by estimating the ratio of the largest component and the smallest component of a positive Z 1 -eigenvector, we provide some other bounds for the Z 1 -spectral radius of weakly symmetric nonnegative tensors, which improves the existing results. To verify our theoretical results and show their effectiveness, some numerical examples are given.

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“…Solving ρ (A) in inequality (17) gives 2,13]) Consider the symmetric tensor A = (a ijkl ) ∈ R [4,2] , with entries defined as follows:…”

Section: Thusmentioning

confidence: 99%

“…Some bounds of Z 1 -spectral radius of tensors can be found in [17,18,23]. The well-known Brauer's eigenvalue inclusion set of matrices was given in [1], which is always contained in the Gershgorin set.…”

mentioning

confidence: 99%