Year: 2018
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 4 : pp. 810–826
Abstract
In this paper, we first propose a $Z_p$-eigenvalue of a tensor, which includes the $Z_1$- and $Z_2$-eigenvalue as its special case, and then present a $Z_p$-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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Optimal <i>Z</i><sub>1</sub>-eigenvalue inclusion intervals for tensors and their application
Saieedi, Fatemeh
Fathi, Javad
Zangiabadi, Mostafa
Mathematical Foundations of Computing, Vol. 0 (2024), Iss. 0 P.0
https://doi.org/10.3934/mfc.2024003 [Citations: 0]