Model reduction of large-scale systems: rational Krylov versus balancing techniques

Gallivan, Kyle;Grimme, E.;Van Dooren, Paul
(1999) Error Control and Adaptivity in Scientific Computing — ISBN: [0-7923-5808-2], p. 177-190, published

Files

No attached file found for this publication.

Details

Authors
  • Gallivan, KyleFSU
    Author
  • Grimme, E.UIUC
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
In this paper, we describe some recent developments in the use of projection methods to produce a reduced-order model for a linear timeinvariant dynamical system which approximates its frequency response. We give an overview of the family of Rational Krylov methods and compare them with "near-optimal" approximation methods based on balancing transformations.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Gallivan, K., Grimme, E., & Van Dooren, P. (1999). Model reduction of large-scale systems: rational Krylov versus balancing techniques. In Bulgak & Zenger (ed.), Error Control and Adaptivity in Scientific Computing (p. p. 177-190). Kluwer. https://hdl.handle.net/2078.5/40923