The Quasi-Weierstraß form for regular matrix pencils

  title={The Quasi-Weierstra\ss form for regular matrix pencils},
  author={Thomas Berger and Achim Ilchmann and Stephan Trenn},
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
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