A note on common quadratic Lyapunov functions for linear inclusions: Exact results and Open Problems
Leonid I Gurvits, Alex Samorodnitsky · 2006
We prove several exact results on approximability of joint spectral radius by matrix norms induced by Euclidean norms. We point out, perhaps for the first time in this context, a difference between complex and real cases. New connections of joint spectral radius to convex geometry and combinatorics are established. Several open problems are posed.