Sylvester equations and projection-based model reduction

Sylvester equations and projection-based model reduction

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...

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Veröffentlicht in:Journal of computational and applied mathematics 2004, Vol.162 (1), p.213-229
Hauptverfasser: Gallivan, K., Vandendorpe, A., Van Dooren, P.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
large-scale system
Mathematical analysis
Mathematics
Model reduction
Multipoint Padé
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Rational interpolation
Sciences and techniques of general use
Time-invariant linear systems
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Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2003.08.026