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arxiv: 1504.03066 · v2 · pith:UDCXSHYKnew · submitted 2015-04-13 · 🧮 math.SP

Three Dimensional Strongly Symmetric Circulant Tensors

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keywords casescirculantconditiondimensionalstronglysufficientsymmetrictensor
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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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