On the stabilization of matrices and the convergence of linear iterative processes
Michael Ellis Fisher, A. T. FULLER · Mathematical Proceedings of the Cambridge Philosophical Society · 1958
In this note we show that if a real square matrix P fulfils certain rather general conditions then there exists a real diagonal matrix D such that the characteristic equation of DP is stable and, furthermore, aperiodic. (A characteristic equation is called stable if the real parts of its roots are all negative. If the roots are all real and simple the equation is said to be aperiodic; see Fuller(3).)