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June 2005 Structure-Preserving Model Reduction Using a Krylov Subspace Projection Formulation
Zhaojun Bai, Ren-Cang Li
Commun. Math. Sci. 3(2): 179-199 (June 2005).


A general framework for structure-preserving model reduction by Krylov subspace projection methods is developed. It not only matches as many moments as possible but also preserves substructures of importance in the coeficient matrices L,G,C, and B that define a dynamical system prescribed by the transfer function of the form H(s/) = L*(G+sC)-1B. Many existing structure-preserving model-order reduction methods for linear and second-order dynamical systems can be derived under this general framework. Furthermore, it also offers insights into the development of new structure-preserving model reduction methods.


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Zhaojun Bai. Ren-Cang Li. "Structure-Preserving Model Reduction Using a Krylov Subspace Projection Formulation." Commun. Math. Sci. 3 (2) 179 - 199, June 2005.


Published: June 2005
First available in Project Euclid: 14 June 2005

zbMATH: 1100.65028
MathSciNet: MR2164197

Rights: Copyright © 2005 International Press of Boston

Vol.3 • No. 2 • June 2005
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