The Quasi-Weierstraß form for regular matrix pencils

@inproceedings{Berger2009TheQF,
  title={The Quasi-Weierstra\ss form for regular matrix pencils},
  author={Thomas Berger and Achim Ilchmann and Stephan Trenn},
  year={2009}
}
Regular linear matrix pencils A − E∂ ∈ K[∂], where K = Q, R or C, and the associated differential algebraic equation (DAE) Eẋ = Ax are studied. The Wong sequences of subspaces are investigate and invoked to decompose the Kn into V⊕W, where any bases of the linear spaces V and W transform the matrix pencil into the Quasi-Weierstraß form. The Quasi-Weierstraß form of the matrix pencil decouples the original DAE into the underlying ODE and the pure DAE or, in other words, decouples the set of… CONTINUE READING
Highly Cited
This paper has 77 citations. REVIEW CITATIONS
50 Citations
25 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 50 extracted citations

78 Citations

01020'10'12'14'16'18
Citations per Year
Semantic Scholar estimates that this publication has 78 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 25 references

Differential Equations with constraints

  • Olivier Verdier
  • PhD thesis,
  • 2009
1 Excerpt

Differential-Algebraic Equations. Analysis and Numerical Solution

  • Peter Kunkel, Volker Mehrmann
  • EMS Publishing House, Zürich, Switzerland,
  • 2006
1 Excerpt

Lineare Algebra

  • Gerd Fischer
  • Vieweg, Wiesbaden, 15. edition,
  • 2005

The structure of linear relations in Euclidean spaces

  • Adrian Sandovici, Henk De Snoo, Henrik Winkler
  • Lin. Alg. Appl.,
  • 2005
2 Excerpts

Linear operator pencils A−λB with discrete spectrum

  • Christiane Tretter
  • Integr. Eq. Oper. Th.,
  • 2000

Canonical projectors for linear differential algebraic equations

  • R. März
  • Computers Math. Appl.,
  • 1996

Similar Papers

Loading similar papers…