Asymptotic positive-stability conjecture for the matrix family Gamma(t)

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 strictly positive stable. This conjecture is proposed as a potentially significant step toward understanding the general, possibly nonsymmetric, case; its status is not resolved in the supplied text.