Upper Bounds on the Comon Rank Gap of Real Symmetric Third-Order Tensors

Jianze Li

Let $T$ be a nonzero real symmetric third-order tensor. Denote by $r(T)$ its CP rank, by $s(T)$ its symmetric rank, by $d(T)$ its essential dimension, and put $e(T)=r(T)-d(T)$. We…