Brualdi-type eigenvalue inclusion sets of tensors

By using digraphs of tensors, we give Brualdi-type eigenvalue inclusion sets of tensors. We also give some applications of our result to nonsingularity and positive definiteness of tensors.

Saved in:

Bibliographic Details
Published in:	Linear algebra and its applications Vol. 480; pp. 168 - 175
Main Authors:	Bu, Changjiang, Wei, Yuanpeng, Sun, Lizhu, Zhou, Jiang
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-09-2015
Subjects:	Digraph Eigenvalue Tensor Eigenvalue Tensor 15A69 Digraph 15A18
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	By using digraphs of tensors, we give Brualdi-type eigenvalue inclusion sets of tensors. We also give some applications of our result to nonsingularity and positive definiteness of tensors.
ISSN:	0024-3795 1873-1856
DOI:	10.1016/j.laa.2015.04.034