Abstract
In this paper, we describe some recent developments in the use of projection methods to produce a reduced-order model for a linear time-invariant 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.
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Gallivan, K.A., Grimme, E., Van Dooren, P.M. (1999). Model Reduction of Large-Scale Systems Rational Krylov Versus Balancing Techniques. In: Bulgak, H., Zenger, C. (eds) Error Control and Adaptivity in Scientific Computing. NATO Science Series, vol 536. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4647-0_9
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DOI: https://doi.org/10.1007/978-94-011-4647-0_9
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