New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors

Jun He, Yanmin Liu, Junkang Tian and Zhuanzhou Zhang
Additional contact information
Jun He: School of mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, China
Yanmin Liu: School of mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, China
Junkang Tian: School of mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, China
Zhuanzhou Zhang: School of mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, China

Mathematics, 2018, vol. 6, issue 12, 1-10

Abstract: In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the Z -spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-eigenvalue based sufficient condition for the positive definiteness of fourth order tensors is also presented. Finally, numerical examples are given to verify the efficiency of our results.

Keywords: fourth order tensor; bound; nonnegative tensor; Z-eigenvalue; positive definiteness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/12/303/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/12/303/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:12:p:303-:d:187938

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().