Sylvester equations and projection-based model reduction

  • Authors:
  • K. Gallivan;A. Vandendorpe;P. Van Dooren

  • Affiliations:
  • Florida State University, FL;Université catholique de Louvain, CESAME, Avenue G. Lemaitre 4, 1348 Louvain-la-Neuve, Belgium;Université catholique de Louvain, CESAME, Avenue G. Lemaitre 4, 1348 Louvain-la-Neuve, Belgium

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on linear algebra and arithmetic, Rabat, Morocco, 28-31 May 2001
  • Year:
  • 2004

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Abstract

In this paper, we establish a connection between Krylov subspace techniques for Multipoint Padé interpolation, and the use of Sylvester equations for constructing reduced-order models. We also briefly point Out that this connection partly extends to ADI-type techniques and to the Smith iteration for computing approximate solutions of Lyapunov equations.