Best rank one approximation of real symmetric tensors can be chosen symmetric

Shmuel Friedland

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arXiv · 1110.5689

Best rank one approximation of real symmetric tensors can be chosen symmetric

Shmuel Friedland

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Abstract

We show that a best rank one approximation to a real symmetric tensor, which in principle can be nonsymmetric, can be chosen symmetric. Furthermore, a symmetric best rank one approximation to a symmetric tensor is unique if the tensor does not lie on a certain real algebraic variety.

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Shmuel Friedland. 2012-11-25. Best rank one approximation of real symmetric tensors can be chosen symmetric. https://arxiv.org/abs/1110.5689

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