Geodesic
Approximation of Large-Scale Dynamical Systems: an Overview
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 5, pp. 1093-1121.

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In this paper we review the state of affairs in the area of approximation of large-scale systems. We distinguish three basic categories, namely the SVD-based, the Krylov-based and the SVD-Krylov-based approximation methods. The first two were developed independently of each other and have distinct sets of attributes and drawbacks. The third approach seeks to combine the best attributes of the first two.
Keywords: model reduction, SVD, Hankel, balancing, Krylov
Mots-clés : aproksymacja, system dynamiczny 
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     author = {Antoulas, A. C. and Sorensen, D. C.},
     title = {Approximation of {Large-Scale} {Dynamical} {Systems:} an {Overview}},
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Antoulas, A. C.; Sorensen, D. C. Approximation of Large-Scale Dynamical Systems: an Overview. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 5, pp. 1093-1121. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_5_a4/