Antoulas, Athanasios C.; Sorensen, Dan C. Approximation of large-scale dynamical systems: An overview. (English) Zbl 1024.93008 Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1093-1121 (2001). Summary: We review the state of affairs in the area of approximation of large-scale systems. We distinguish between 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. Cited in 37 Documents MSC: 93B11 System structure simplification 93A15 Large-scale systems 93B40 Computational methods in systems theory (MSC2010) 93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory Keywords:singular value decomposition; model reduction; balancing; Krylov-based approximation; approximation of large-scale systems Software:ARPACK; eigs PDFBibTeX XMLCite \textit{A. C. Antoulas} and \textit{D. C. Sorensen}, Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1093--1121 (2001; Zbl 1024.93008) Full Text: EuDML