M -Matrices whose Inverses are Stochastic
Ronald L. Smith · SIAM Journal on Algebraic and Discrete Methods · 1981
This paper characterizes M-matrices whose inverses are stochastic. Such matrices can be used to model physical systems which return to equilibrium after minor disturbances. All solutions to linear systems defined by these models return to equilibrium as $t \to \infty $ at a common uniform rate.