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

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10.1016/j.laa.2015.05.024

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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.",

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AU - Qi, Liqun

AU - Wang, Qun

AU - Chen, Yannan

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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

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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

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