Three Dimensional Strongly Symmetric Circulant Tensors

2015/04/13 by Qi, Liqun, Wang, Qun, Chen, Yannan
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1504.03066

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.

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