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Linear constant coefficient DAEs

  • René Lamour
  • Roswitha März
  • Caren Tischendorf
Part of the Differential-Algebraic Equations Forum book series (DAEF)

Abstract

This chapter represents an introduction into the projector based framework by means of well-understood constant coefficient DAEs. In particular, we demonstrate that all components of the Kronecker structure of a regular matrix pencil can be described by so-called admissible matrix sequences and their associated projectors. We provide a complete decoupling of the DAE into its slow and fast subsystems by this technique. Thereby we do not transform the DAE itself, instead we express all system coefficients and characteristics in terms of the matrix sequence which is directly computed from the original matrix pencil. The spectral projector of the matrix pencil, for instance, results as a product of completely decoupling projectors.

Keywords

Jordan Block Matrix Pencil Matrix Pair Matrix Sequence Drazin Inverse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • René Lamour
    • 1
  • Roswitha März
    • 1
  • Caren Tischendorf
    • 2
  1. 1.Department of MathematicsHumboldt-University of BerlinBerlinGermany
  2. 2.Mathematical InstituteUniversity of CologneCologneGermany

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