3 problems

Let $A=A_s+A_d\varepsilon$ be an $n\times n$ dual number matrix and let $k\in\mathbb{N}$. Here $O$ denotes the zero matrix, and $\rho(A_s)$ denotes the spectral radius of the stand…

Let $CE_n$ denote the critical exponent for $n$-by-$n$ generalized doubly nonnegative matrices, and let $MIP_n$ be the maximum index of primitivity among primitive $n$-by-$n$ gener…

Critical exponent conjecture. For all integers $n\geq 2$,