Projector based treatment of linear constant coefficient DAEs

René Lamour , Roswitha März , Caren Tischendorf

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 15

MSC 2000

15A22 Matrix pencils

34A09 Implicit equations, differential-algebraic equations

Abstract
Linear DAEs with constant coefficients have been well understood by way of the theory of matrix pencils for quite a long time, and this is the reason why they are only briefly discussed in monographs. We want to consider them in detail here, not because we believe that the related linear algebra has to be invented anew, but as we intend to give a sort of guide for the extensive discussion on linear DAEs with time-varying coefficients and on nonlinear DAEs.