A counterexample to Comon's conjecture

Yaroslav Shitov

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arXiv · 1705.08740

A counterexample to Comon's conjecture

Yaroslav Shitov

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Abstract

We present an example of a symmetric tensor of size $800\times 800\times 800$ which can be written a sum of $903$ simple tensors with complex entries but not as a sum of $903$ symmetric simple tensors.

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Yaroslav Shitov. 2017-08-27. A counterexample to Comon's conjecture. https://arxiv.org/abs/1705.08740

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