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arXiv · 2206.12553

Dehomogenization for Completely Positive Tensors

Jiawang Nie·Xindong Tang·Zi Yang·Suhan Zhong
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Abstract

A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors. This gives new Moment-SOS relaxations for CP tensors. Detection for CP tensors and the linear conic optimization with CP tensor cones can be solved more efficiently by the dehomogenization approach.

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Jiawang Nie, Xindong Tang, Zi Yang, Suhan Zhong. 2022-06-25. Dehomogenization for Completely Positive Tensors. https://arxiv.org/abs/2206.12553

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