Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan \(\mathcal{H}_2\)-gap model reduction for stabilizable and detectable systems. (English) Zbl 1504.93034 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 317-334 (2022). MSC: 93B11 93C05 76D05 PDFBibTeX XMLCite \textit{T. Breiten} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 317--334 (2022; Zbl 1504.93034) Full Text: DOI arXiv
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker Structure-preserving interpolatory model reduction for port-Hamiltonian differential-algebraic systems. (English) Zbl 1504.93033 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 235-254 (2022). MSC: 93B11 93B70 65L80 PDFBibTeX XMLCite \textit{C. Beattie} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 235--254 (2022; Zbl 1504.93033) Full Text: DOI arXiv
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher Data-driven balancing of linear dynamical systems. (English) Zbl 1492.37076 SIAM J. Sci. Comput. 44, No. 1, A554-A582 (2022). MSC: 37M99 41A20 65D30 93A15 93B15 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., SIAM J. Sci. Comput. 44, No. 1, A554--A582 (2022; Zbl 1492.37076) Full Text: DOI arXiv
Beattie, Christopher; Gugercin, Serkan; Tomljanović, Zoran Sampling-free model reduction of systems with low-rank parameterization. (English) Zbl 1464.93010 Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020). MSC: 93B11 93C05 93C15 49J15 93D20 PDFBibTeX XMLCite \textit{C. Beattie} et al., Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020; Zbl 1464.93010) Full Text: DOI
Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan Revisiting IRKA: connections with pole placement and backward stability. (English) Zbl 07341142 Vietnam J. Math. 48, No. 4, 963-985 (2020). MSC: 65Pxx PDFBibTeX XMLCite \textit{C. Beattie} et al., Vietnam J. Math. 48, No. 4, 963--985 (2020; Zbl 07341142) Full Text: DOI arXiv
Magruder, C. C.; Gugercin, S.; Beattie, C. A. Linear time-periodic dynamical systems: an \(H_2\) analysis and a model reduction framework. (English) Zbl 1485.93098 Math. Comput. Model. Dyn. Syst. 24, No. 2, 119-142 (2018). MSC: 93B11 93C05 PDFBibTeX XMLCite \textit{C. C. Magruder} et al., Math. Comput. Model. Dyn. Syst. 24, No. 2, 119--142 (2018; Zbl 1485.93098) Full Text: DOI arXiv
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan Damping optimization of parameter dependent mechanical systems by rational interpolation. (English) Zbl 1416.90038 Adv. Comput. Math. 44, No. 6, 1797-1820 (2018). MSC: 90C26 74P10 70Q05 41A05 PDFBibTeX XMLCite \textit{Z. Tomljanović} et al., Adv. Comput. Math. 44, No. 6, 1797--1820 (2018; Zbl 1416.90038) Full Text: DOI arXiv
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan Data-driven structured realization. (English) Zbl 1373.93087 Linear Algebra Appl. 537, 250-286 (2018). MSC: 93B15 30E05 37M99 93C05 93A15 PDFBibTeX XMLCite \textit{P. Schulze} et al., Linear Algebra Appl. 537, 250--286 (2018; Zbl 1373.93087) Full Text: DOI arXiv
Castagnotto, Alessandro; Beattie, Christopher; Gugercin, Serkan Interpolatory methods for \(\mathcal{H}_{\infty}\) model reduction of multi-input/multi-output systems. (English) Zbl 1384.93015 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 349-365 (2017). MSC: 93A15 93B11 93B36 93C35 93C05 65D05 PDFBibTeX XMLCite \textit{A. Castagnotto} et al., MS\&A, Model. Simul. Appl. 17, 349--365 (2017; Zbl 1384.93015) Full Text: DOI arXiv
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker Model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1353.93019 Syst. Control Lett. 99, 99-106 (2017). MSC: 93B11 93C05 93B40 PDFBibTeX XMLCite \textit{C. Beattie} et al., Syst. Control Lett. 99, 99--106 (2017; Zbl 1353.93019) Full Text: DOI arXiv
Chaturantabut, S.; Beattie, C.; Gugercin, S. Structure-preserving model reduction for nonlinear port-Hamiltonian systems. (English) Zbl 1376.37120 SIAM J. Sci. Comput. 38, No. 5, B837-B865 (2016). MSC: 37M05 65P10 93A15 PDFBibTeX XMLCite \textit{S. Chaturantabut} et al., SIAM J. Sci. Comput. 38, No. 5, B837--B865 (2016; Zbl 1376.37120) Full Text: DOI arXiv
Drmač, Z.; Gugercin, S.; Beattie, C. Vector fitting for matrix-valued rational approximation. (English) Zbl 1323.93050 SIAM J. Sci. Comput. 37, No. 5, A2346-A2379 (2015). MSC: 93C80 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 5, A2346--A2379 (2015; Zbl 1323.93050) Full Text: DOI arXiv
de Sturler, Eric; Gugercin, Serkan; Kilmer, Misha E.; Chaturantabut, Saifon; Beattie, Christopher; O’Connell, Meghan Nonlinear parametric inversion using interpolatory model reduction. (English) Zbl 1433.65194 SIAM J. Sci. Comput. 37, No. 3, B495-B517 (2015). MSC: 65M32 65F10 65K10 92C55 PDFBibTeX XMLCite \textit{E. de Sturler} et al., SIAM J. Sci. Comput. 37, No. 3, B495--B517 (2015; Zbl 1433.65194) Full Text: DOI arXiv
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan Near-optimal frequency-weighted interpolatory model reduction. (English) Zbl 1320.93028 Syst. Control Lett. 78, 8-18 (2015). MSC: 93B11 PDFBibTeX XMLCite \textit{T. Breiten} et al., Syst. Control Lett. 78, 8--18 (2015; Zbl 1320.93028) Full Text: DOI arXiv
Drmač, Z.; Gugercin, S.; Beattie, C. Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. (English) Zbl 1320.93029 SIAM J. Sci. Comput. 37, No. 2, A625-A652 (2015). MSC: 93B11 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 2, A625--A652 (2015; Zbl 1320.93029) Full Text: DOI arXiv
Anić, Branimir; Beattie, Christopher; Gugercin, Serkan; Antoulas, Athanasios C. Interpolatory weighted-\(\mathcal{H}_2\) model reduction. (English) Zbl 1319.93016 Automatica 49, No. 5, 1275-1280 (2013). MSC: 93B11 93B52 PDFBibTeX XMLCite \textit{B. Anić} et al., Automatica 49, No. 5, 1275--1280 (2013; Zbl 1319.93016) Full Text: DOI arXiv
Flagg, Garret; Beattie, Christopher A.; Gugercin, Serkan Interpolatory \(H_\infty \) model reduction. (English) Zbl 1277.93020 Syst. Control Lett. 62, No. 7, 567-574 (2013). MSC: 93B11 93B15 93B36 93A15 PDFBibTeX XMLCite \textit{G. Flagg} et al., Syst. Control Lett. 62, No. 7, 567--574 (2013; Zbl 1277.93020) Full Text: DOI arXiv
Gugercin, Serkan; Polyuga, Rostyslav V.; Beattie, Christopher; van der Schaft, Arjan Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems. (English) Zbl 1257.93021 Automatica 48, No. 9, 1963-1974 (2012). MSC: 93B11 93A15 70Q05 93C15 PDFBibTeX XMLCite \textit{S. Gugercin} et al., Automatica 48, No. 9, 1963--1974 (2012; Zbl 1257.93021) Full Text: DOI arXiv Link
Beattie, Christopher; Fox, David W. Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems. (English) Zbl 0661.15008 Linear Algebra Appl. 108, 37-61 (1988). Reviewer: E.Kreyszig MSC: 15A18 65F15 15A42 49R50 PDFBibTeX XMLCite \textit{C. Beattie} and \textit{D. W. Fox}, Linear Algebra Appl. 108, 37--61 (1988; Zbl 0661.15008) Full Text: DOI