2 problems

Let $H\foral R^{n\times n}$ be symmetric and entrywise nonnegative, with geometrically simple spectral-radius eigenvalue $\rho(H)$. Let $v,w\in\mathbb R^n$ satisfy $v>0$ and $w>0$.…

Let $\Gamma(t)$ be the matrix defined in the paper's Lemma. Asymptotic positive-stability conjecture. There exists $t_1>0$ such that, for every $t>t_1$, the matrix $\Gamma(t)$ is s…