Three dimensional strongly symmetric circulant tensors

Liqun Qi; Qun Wang; Yannan Chen

doi:10.1016/j.laa.2015.05.024

Three dimensional strongly symmetric circulant tensors

Liqun Qi
, Qun Wang
, Yannan Chen

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

Allrightsreserved. In this paper, we give a necessary and sufficient condition for an even order three dimensional strongly symmetric circulant tensor to be positive semi-definite. We show that this condition can be a sufficient condition for such a tensor to be sum-of-squares in some cases. There are no PNS strongly symmetric circulant tensors to be found in numerical tests.

Original language	English
Pages (from-to)	207-220
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	482
DOIs	https://doi.org/10.1016/j.laa.2015.05.024
Publication status	Published - 22 Jul 2015

Keywords

15A69
MSC 15A18

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

More information

10.1016/j.laa.2015.05.024

Cite this

@article{a96605ab5fc64022afecd03a5bfecd79,

title = "Three dimensional strongly symmetric circulant tensors",

abstract = "Allrightsreserved. In this paper, we give a necessary and sufficient condition for an even order three dimensional strongly symmetric circulant tensor to be positive semi-definite. We show that this condition can be a sufficient condition for such a tensor to be sum-of-squares in some cases. There are no PNS strongly symmetric circulant tensors to be found in numerical tests.",

keywords = "15A69, MSC 15A18",

author = "Liqun Qi and Qun Wang and Yannan Chen",

year = "2015",

month = jul,

day = "22",

doi = "10.1016/j.laa.2015.05.024",

language = "English",

volume = "482",

pages = "207--220",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Three dimensional strongly symmetric circulant tensors

AU - Qi, Liqun

AU - Wang, Qun

AU - Chen, Yannan

PY - 2015/7/22

Y1 - 2015/7/22

N2 - Allrightsreserved. In this paper, we give a necessary and sufficient condition for an even order three dimensional strongly symmetric circulant tensor to be positive semi-definite. We show that this condition can be a sufficient condition for such a tensor to be sum-of-squares in some cases. There are no PNS strongly symmetric circulant tensors to be found in numerical tests.

AB - Allrightsreserved. In this paper, we give a necessary and sufficient condition for an even order three dimensional strongly symmetric circulant tensor to be positive semi-definite. We show that this condition can be a sufficient condition for such a tensor to be sum-of-squares in some cases. There are no PNS strongly symmetric circulant tensors to be found in numerical tests.

KW - 15A69

KW - MSC 15A18

UR - https://www.scopus.com/pages/publications/84937597300

U2 - 10.1016/j.laa.2015.05.024

DO - 10.1016/j.laa.2015.05.024

M3 - Journal article

SN - 0024-3795

VL - 482

SP - 207

EP - 220

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Three dimensional strongly symmetric circulant tensors

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this