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

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

2011-10-26

arxiv.org/abs/1110.5689v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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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