3 problems

Definiteness conjecture. Then $\mathcal{A}$ is neither a positive semidefinite tensor nor a negative semidefinite tensor.

Let $\mathcal{A}\in\mathbb{R}_{cps}^{n^4}\backslash\mathbb{R}_s^{n^4}$ be a real fourth-order conjugate partial-symmetric tensor that is not symmetric. A CPS rank decomposition is…

Let $\mathcal{B}=(b_{i_1\cdots i_m})$ be a tensor of order $m$ and dimension $n$. For $i,j\in N$ with $i\neq j$, suppose that … Here, $\mathcal{B}$ is a quasi-double $B_0$-tensor w…