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

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.

14 pages

References in corpus (1)

• The number of singular vector tuples and uniqueness of best rank one approximation of tensors

Cited by in corpus (1)

• On best rank one approximation of tensors