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arXiv · 1202.1741

A criterion for detecting the identifiability of symmetric tensors of size three

Edoardo Ballico·Luca Chiantini
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Abstract

We prove a criterion for the identifiability of symmetric tensors $P$ of type $3\times ...\times 3$, $d$ times, whose rank $k$ is bounded by $(d^2+2d)/8$. The criterion is based on the study of the Hilbert function of a set of points $P_1,..., P_k$ which computes the rank of the tensor $P$.

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Edoardo Ballico, Luca Chiantini. 2012-02-08. A criterion for detecting the identifiability of symmetric tensors of size three. https://arxiv.org/abs/1202.1741

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