differential algebraic equation admissible projector widely orthogonal projector matrix sequence tractability index Computational linear algebra aspects of projector based treatment of DAEs René Lamour Lamour René Roswitha März März Roswitha Caren Tischendorf Tischendorf Caren Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),

Computational linear algebra aspects of projector based treatment of DAEs

René Lamour , Roswitha März , Caren Tischendorf

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

MSC 2000

34A09 Implicit equations, differential-algebraic equations
65L80 Methods for differential-algebraic equations

Abstract
The characterization of DAEs by the tractability index concept bases on the investigation of the related matrix sequence. The algorithmic steps of the implementation of the sequence consist of the computation of admissible nullspace projectors, including the widely orthogonal projectors, and ways to perform the differentiation of projectors, if neccessary. Different aspects to compute the required objects are discussed.


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