Bounds for the Z-eigenpair of general nonnegative tensors

• Autorzy: Qilong Liu , Yaotang Li
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Z-eigenvalues; Z-spectral radius; Weakly symmetric

Kategorie tematyczne

• 15A15: Determinants, permanents, other special matrix functions
• 65F25: Orthogonalization
• 15A69: Multilinear algebra, tensor products

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 181-194

Daty

wydano

2016-01-01

otrzymano

2015-09-02

zaakceptowano

2016-03-07

online

2016-04-06

Twórcy

autor

Qilong Liu

• School of Mathematics and Statistics, Yunnan University, Kunming, 650091,

autor

Yaotang Li

• School of Mathematics and Statistics, Yunnan University, Kunming, 650091,

Identyfikatory

DOI

10.1515/math-2016-0017