2 problems

Let $\mathcal{A}$ be a symmetric $\mathrm{B}_{0}$-biquadratic tensor, meaning a symmetric biquadratic tensor satisfying the $\mathrm{B}_{0}$ conditions specified in the source. An…

Let $m$ and $n$ be positive integers, let $\boldsymbol{q}in\boldsymbol{R}^{n}$, and let $\mathcal{A}in ST_{m,n}$ be a structured tensor. The tensor $\mathcal{A}$ is positive defini…