Three dimensional strongly symmetric circulant tensors

Liqun Qi, Qun Wang, Yannan Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 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 languageEnglish
Pages (from-to)207-220
Number of pages14
JournalLinear Algebra and Its Applications
Volume482
DOIs
Publication statusPublished - 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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