Bounds for the Z-eigenpair of general nonnegative tensors

Qilong Liu, and Yaotang Li. "Bounds for the Z-eigenpair of general nonnegative tensors." Open Mathematics 14.1 (2016): 181-194. <http://eudml.org/doc/276952>.

@article{QilongLiu2016,
abstract = {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.},
author = {Qilong Liu, Yaotang Li},
journal = {Open Mathematics},
keywords = {Z-eigenvalues; Z-spectral radius; Weakly symmetric; weakly symmetric; Z-eigenpair; tensor; numerical example},
language = {eng},
number = {1},
pages = {181-194},
title = {Bounds for the Z-eigenpair of general nonnegative tensors},
url = {http://eudml.org/doc/276952},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Qilong Liu
AU - Yaotang Li
TI - Bounds for the Z-eigenpair of general nonnegative tensors
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 181
EP - 194
AB - 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.
LA - eng
KW - Z-eigenvalues; Z-spectral radius; Weakly symmetric; weakly symmetric; Z-eigenpair; tensor; numerical example
UR - http://eudml.org/doc/276952
ER -