Year: 2018
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 4 : pp. 810–826
Abstract
In this paper, we first propose a Zp-eigenvalue of a tensor, which includes the Z1- and Z2-eigenvalue as its special case, and then present a Zp-eigenvalue bound. In particular, we give a Z-spectral radius bound for an irreducible nonnegative tensor via the spectral radius of a nonnegative matrix. The proposed bounds improve some existing ones. Some numerical examples are given to show the validity of the proposed bounds.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2018.s08
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 4 : pp. 810–826
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
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Bounds for Zp-eigenpairs of a tensor with application to geometric measure of entanglement
Zhao, Jianxing
Shi, Qiuhua
Computational and Applied Mathematics, Vol. 44 (2025), Iss. 4
https://doi.org/10.1007/s40314-025-03126-w [Citations: 0]