In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented. Furthermore, upper bounds of Z-spectral radius of nonnegative tensors and general tensors are given. The proposed bounds improve some existing ones. Numerical examples are reported to show the effectiveness of the proposed bounds.
@article{bwmeta1.element.doi-10_1515_math-2016-0017,
author = {Qilong Liu and Yaotang Li},
title = {Bounds for the Z-eigenpair of general nonnegative tensors},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {181-194},
zbl = {1350.15004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0017}
}
Qilong Liu; Yaotang Li. Bounds for the Z-eigenpair of general nonnegative tensors. Open Mathematics, Tome 14 (2016) pp. 181-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0017/