3 problems

Let $\mathbf{w}_1,\ldots,\mathbf{w}_{n+1}\in\mathbb{R}^n$ be the vectors of a regular simplex frame, and let … be the associated symmetric tensor of order $m$ and dimension $n$, wh…

Let $\mathcal{T}$ be an equiangular tight frame decomposable tensor, meaning a symmetric tensor admitting a decomposition into powers of vectors from an equiangular tight frame. Th…

Let $r=n+1<d$, and let … where $\lambda_1,\ldots,\lambda_{n+1}>0$ and the vectors ${\bf v}_i$ are the vectors occurring in the decomposition. A robust eigenvector is an eigenvector…