Parametric model order reduction with a small \(\mathcal H_2\)-error using radial basis functions

DOI10.1007/s10444-015-9410-7zbMath1348.65096OpenAlexW1804987519WikidataQ115224000 ScholiaQ115224000MaRDI QIDQ904249

Nils Hornung, Peter Benner, Sara Grundel

Publication date: 13 January 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-015-9410-7

zbMATH Keywords

numerical examplereproducing kernel Hilbert spacesradial basis functionslinear time-invariant systemsparametric model order reductionrational Krylov \(\mathcal H_2\) approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Parametric model order reduction with a small \(\mathcal H_2\)-error using radial basis functions ⋮ Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction

Uses Software

• Matlab

Cites Work

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• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• Sampling and Stability
• Parameter preserving model order reduction for MEMS applications
• Theory of Reproducing Kernels

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