English

Three Dimensional Strongly Symmetric Circulant Tensors

Spectral Theory 2015-04-16 v2

Abstract

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. In some cases, we show that this condition is also sufficient for this tensor to be sum-of-squares. Numerical tests indicate that this is also true in the other cases.

Keywords

Cite

@article{arxiv.1504.03066,
  title  = {Three Dimensional Strongly Symmetric Circulant Tensors},
  author = {Liqun Qi and Qun Wang and Yannan Chen},
  journal= {arXiv preprint arXiv:1504.03066},
  year   = {2015}
}
R2 v1 2026-06-22T09:14:53.143Z