Dimension Reduction of Large-Scale Systems

By Peter Benner, Volker Mehrmann, C. SorensenDanny. 2005

519 citations recorded by the source corpus.

How researchers see this paper

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A Survey on Model Reduction of Coupled Systems (2008, unknown): “Numerical examples are given.”
Recent computational developments in Krylov subspace methods for linear systems (2007, methodology): “Among the many topics not covered are the following (with some very limited pointers to the literature): the relation of Krylov subspace methods with orthogonal polynomials and Gaussian quadrature [115], [229], and with potential theory [85], [207]; special methods for model reduction [4], [21], [31”
Comparison of model reduction techniques for large mechanical systems (2008, unknown): “Balancing-related truncation techniques [2, 10, 16–18].”
Computational Methods for Linear Matrix Equations (2016, unknown): “A somewhat related approach was proposed in [229], and it exploits the popular proper orthogonal decomposition (POD) approach employed in reduced order modeling of large-scale dynamical systems [26].”
Balanced truncation model reduction of second-order systems (2008, methodology): “Balanced truncation is another model reduction approach that has been proved to be an efficient for first-order systems [7,8,18,19].”