Maximal and typical nonnegative ranks of nonnegative tensors

Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

Let $N_1,\dots ,N_d$ be positive integers with $N_1\le \cdots \le N_d$. Set $N=N_1\cdots N_{d-1}$. We show in this paper that an integer $r$ is a typical nonnegative rank of nonn…