Numerische Simulation Auf Massiv Parallelen Rechnern on a Criterion for Asymptotic Stability of Diierential-algebraic Equations Preprint-reihe Des Chemnitzer Sfb 393

This paper discusses Lyapunov stability of the trivial solution of linear di erentialalgebraic equations. As a criterion for the asymptotic stability we propose a numerical parameter (A;B) characterizing the property of a regular matrix pencil A B to have all nite eigenvalues in the open left half-plane. Numerical aspects for computing this parameter are discussed.