CLASSES OF STABLE COMPLEX MATRICES DEFINED VIA THE THEOREMS OF GERŠGORIN AND LYAPUNOV

Abstract. We consider (and characterize) mainly classes of (positively) stable complex matrices defined via methods of Geršgorin and Lyapunov. Although the real matrices in most of these classes have already been studied, we some-times improve upon (and even correct) what has been previously published. Many of the classes turn out quite naturally to be products of common sets of matrices. A Venn diagram shows how the classes are related