# Bounds for the Z-eigenpair of general nonnegative tensors

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 181-194
- ISSN: 2391-5455

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topQilong 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 -

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