Liljegren-Sailer, Björn; Gosea, Ion Victor Data-driven and low-rank implementations of balanced singular perturbation approximation. (English) Zbl 07805928 SIAM J. Sci. Comput. 46, No. 1, A483-A507 (2024). MSC: 93B11 93C70 93C05 93D20 93A15 PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{I. V. Gosea}, SIAM J. Sci. Comput. 46, No. 1, A483--A507 (2024; Zbl 07805928) Full Text: DOI arXiv
Zulfiqar, Umair; Du, Xin; Song, Qiu-Yan; Xiao, Zhi-Hua; Sreeram, Victor Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection. (English) Zbl 07803771 J. Franklin Inst. 361, No. 2, 1093-1114 (2024). MSC: 93B11 PDFBibTeX XMLCite \textit{U. Zulfiqar} et al., J. Franklin Inst. 361, No. 2, 1093--1114 (2024; Zbl 07803771) Full Text: DOI arXiv
Rahnsch, Beatrix; Taghizadeh, Leila Network-based uncertainty quantification for mathematical models in epidemiology. (English) Zbl 07790098 J. Theor. Biol. 577, Article ID 111671, 12 p. (2024). MSC: 92D30 62P10 62J07 PDFBibTeX XMLCite \textit{B. Rahnsch} and \textit{L. Taghizadeh}, J. Theor. Biol. 577, Article ID 111671, 12 p. (2024; Zbl 07790098) Full Text: DOI
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. (English) Zbl 07766241 J. Comput. Phys. 495, Article ID 112503, 28 p. (2023). MSC: 65Nxx 65Mxx 35Pxx PDFBibTeX XMLCite \textit{F. Bertrand} et al., J. Comput. Phys. 495, Article ID 112503, 28 p. (2023; Zbl 07766241) Full Text: DOI arXiv
Zulfiqar, Umair; Du, Xin; Song, Qiu-Yan; Sreeram, Victor On frequency- and time-limited \(\mathcal{H}_2\)-optimal model order reduction. (English) Zbl 1520.93065 Automatica 153, Article ID 111012, 13 p. (2023). MSC: 93B11 93C70 93C80 PDFBibTeX XMLCite \textit{U. Zulfiqar} et al., Automatica 153, Article ID 111012, 13 p. (2023; Zbl 1520.93065) Full Text: DOI arXiv
Filipov, Stefan M.; Faragó, István; Avdzhieva, Ana Mathematical modelling of nonlinear heat conduction with relaxing boundary conditions. (English) Zbl 1521.80005 Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 146-158 (2023). MSC: 80A19 65M06 PDFBibTeX XMLCite \textit{S. M. Filipov} et al., Lect. Notes Comput. Sci. 13858, 146--158 (2023; Zbl 1521.80005) Full Text: DOI
Alla, Alessandro; Kalise, Dante; Simoncini, Valeria State-dependent Riccati equation feedback stabilization for nonlinear PDEs. (English) Zbl 1516.93203 Adv. Comput. Math. 49, No. 1, Paper No. 9, 32 p. (2023). Reviewer: Gen Qi Xu (Tianjin) MSC: 93D15 93C20 93C10 65L80 93B36 PDFBibTeX XMLCite \textit{A. Alla} et al., Adv. Comput. Math. 49, No. 1, Paper No. 9, 32 p. (2023; Zbl 1516.93203) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 07644830 Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023; Zbl 07644830) Full Text: DOI arXiv
Benner, Peter; Palitta, Davide; Saak, Jens On an integrated Krylov-ADI solver for large-scale Lyapunov equations. (English) Zbl 07644383 Numer. Algorithms 92, No. 1, 35-63 (2023). MSC: 65-XX 15A24 65F10 65F30 15A06 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 92, No. 1, 35--63 (2023; Zbl 07644383) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks. (English) Zbl 07568382 J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022). MSC: 65-XX 35L60 35R02 65N12 PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022; Zbl 07568382) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On port-Hamiltonian approximation of a nonlinear flow problem on networks. (English) Zbl 07556264 SIAM J. Sci. Comput. 44, No. 3, B834-B859 (2022). MSC: 65-XX 35L60 37L65 35R02 76Nxx PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, SIAM J. Sci. Comput. 44, No. 3, B834--B859 (2022; Zbl 07556264) Full Text: DOI arXiv
Kirsten, Gerhard Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. (English) Zbl 1497.37106 J. Comput. Dyn. 9, No. 2, 159-183 (2022). MSC: 37M99 65N06 PDFBibTeX XMLCite \textit{G. Kirsten}, J. Comput. Dyn. 9, No. 2, 159--183 (2022; Zbl 1497.37106) Full Text: DOI arXiv
Pulch, Roland Frequency domain integrals for stability preservation in Galerkin-type projection-based model order reduction. (English) Zbl 1480.93061 Int. J. Control 94, No. 7, 1734-1750 (2021). MSC: 93B11 93D20 93C80 93C15 34A09 PDFBibTeX XMLCite \textit{R. Pulch}, Int. J. Control 94, No. 7, 1734--1750 (2021; Zbl 1480.93061) Full Text: DOI arXiv
Wang, Zheng; Cong, Yuhao; Hu, Xiulin Static output feedback stabilization for second-order singular systems using model reduction methods. (English) Zbl 1519.93175 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 3, 457-466 (2021). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93D15 93D20 93B11 PDFBibTeX XMLCite \textit{Z. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 3, 457--466 (2021; Zbl 1519.93175) Full Text: DOI
Chellappa, Sridhar; Feng, Lihong; La Rubia, Valentín De; Benner, Peter Adaptive interpolatory MOR by learning the error estimator in the parameter domain. (English) Zbl 1477.93124 Benner, Peter (ed.) et al., Model reduction of complex dynamical systems. Selected papers based on the presentations at the workshop, University of Graz, Graz, Austria, August 28–30, 2019. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 171, 97-117 (2021). MSC: 93B11 93C40 93C80 PDFBibTeX XMLCite \textit{S. Chellappa} et al., ISNM, Int. Ser. Numer. Math. 171, 97--117 (2021; Zbl 1477.93124) Full Text: DOI arXiv
Egger, H.; Schmidt, K.; Shashkov, V. Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. (English) Zbl 1458.65082 J. Comput. Appl. Math. 387, Article ID 112618, 15 p. (2021). MSC: 65L06 34A09 PDFBibTeX XMLCite \textit{H. Egger} et al., J. Comput. Appl. Math. 387, Article ID 112618, 15 p. (2021; Zbl 1458.65082) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan Interpolation-based model order reduction for polynomial systems. (English) Zbl 1458.93041 SIAM J. Sci. Comput. 43, No. 1, A84-A108 (2021). MSC: 93B11 93C10 93C05 15A69 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Goyal}, SIAM J. Sci. Comput. 43, No. 1, A84--A108 (2021; Zbl 1458.93041) Full Text: DOI arXiv
Yang, Qingyuan; Pitman, E. Bruce; Spiller, Elaine; Bursik, Marcus; Bevilacqua, Andrea Novel statistical emulator construction for volcanic ash transport model Ash3d with physically motivated measures. (English) Zbl 1472.86034 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200161, 28 p. (2020). MSC: 86A32 62P12 86A70 86-10 PDFBibTeX XMLCite \textit{Q. Yang} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200161, 28 p. (2020; Zbl 1472.86034) Full Text: DOI
Benner, Peter; Du, Xin; Yang, Guanghong; Ye, Dan Balanced truncation of linear time-invariant systems over finite-frequency ranges. (English) Zbl 1467.93049 Adv. Comput. Math. 46, No. 6, Paper No. 82, 34 p. (2020). MSC: 93B11 93C05 93C80 PDFBibTeX XMLCite \textit{P. Benner} et al., Adv. Comput. Math. 46, No. 6, Paper No. 82, 34 p. (2020; Zbl 1467.93049) Full Text: DOI arXiv
Palitta, Davide; Simoncini, Valeria Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. (English) Zbl 1466.65031 Vietnam J. Math. 48, No. 4, 791-807 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{V. Simoncini}, Vietnam J. Math. 48, No. 4, 791--807 (2020; Zbl 1466.65031) Full Text: DOI arXiv
Kirsten, Gerhard; Simoncini, Valeria Order reduction methods for solving large-scale differential matrix Riccati equations. (English) Zbl 1452.65078 SIAM J. Sci. Comput. 42, No. 4, A2182-A2205 (2020). MSC: 65F45 15A24 65L05 PDFBibTeX XMLCite \textit{G. Kirsten} and \textit{V. Simoncini}, SIAM J. Sci. Comput. 42, No. 4, A2182--A2205 (2020; Zbl 1452.65078) Full Text: DOI arXiv
Jiang, Yao-Lin; Xu, Kang-Li Riemannian modified Polak-Ribière-Polyak conjugate gradient order reduced model by tensor techniques. (English) Zbl 1441.93045 SIAM J. Matrix Anal. Appl. 41, No. 2, 432-463 (2020). MSC: 93B11 93C15 53B21 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{K.-L. Xu}, SIAM J. Matrix Anal. Appl. 41, No. 2, 432--463 (2020; Zbl 1441.93045) Full Text: DOI
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. (English) Zbl 1437.65021 SIAM J. Sci. Comput. 42, No. 2, A957-A996 (2020). MSC: 65F45 65F55 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 42, No. 2, A957--A996 (2020; Zbl 1437.65021) Full Text: DOI arXiv
Zhang, Liping; Fan, Hung-Yuan; Chu, Eric King-Wah Krylov subspace methods for discrete-time algebraic Riccati equations. (English) Zbl 1433.65081 Appl. Numer. Math. 152, 499-510 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Zhang} et al., Appl. Numer. Math. 152, 499--510 (2020; Zbl 1433.65081) Full Text: DOI
Pulch, Roland Model order reduction for random nonlinear dynamical systems and low-dimensional representations for their quantities of interest. (English) Zbl 07316759 Math. Comput. Simul. 166, 76-92 (2019). MSC: 65Dxx 65Hxx 65Lxx 65Gxx 65Fxx PDFBibTeX XMLCite \textit{R. Pulch}, Math. Comput. Simul. 166, 76--92 (2019; Zbl 07316759) Full Text: DOI arXiv
Pulch, Roland Stability preservation in Galerkin-type projection-based model order reduction. (English) Zbl 1422.65106 Numer. Algebra Control Optim. 9, No. 1, 23-44 (2019). MSC: 65L05 65F10 34C20 34D20 93D20 PDFBibTeX XMLCite \textit{R. Pulch}, Numer. Algebra Control Optim. 9, No. 1, 23--44 (2019; Zbl 1422.65106) Full Text: DOI arXiv
Li, Lu; Celledoni, Elena Krylov projection methods for linear Hamiltonian systems. (English) Zbl 1416.65515 Numer. Algorithms 81, No. 4, 1361-1378 (2019). MSC: 65P10 65F15 65F50 37M15 PDFBibTeX XMLCite \textit{L. Li} and \textit{E. Celledoni}, Numer. Algorithms 81, No. 4, 1361--1378 (2019; Zbl 1416.65515) Full Text: DOI arXiv
Egger, H. Structure preserving approximation of dissipative evolution problems. (English) Zbl 1450.37071 Numer. Math. 143, No. 1, 85-106 (2019). Reviewer: Vasile Marinca (Timişoara) MSC: 37L65 37M15 65P10 47J35 65N30 PDFBibTeX XMLCite \textit{H. Egger}, Numer. Math. 143, No. 1, 85--106 (2019; Zbl 1450.37071) Full Text: DOI arXiv
Peitz, Sebastian; Ober-Blöbaum, Sina; Dellnitz, Michael Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling. (English) Zbl 1415.76221 Acta Appl. Math. 161, 171-199 (2019). MSC: 76D55 35Q30 49K20 49M05 90C29 93C20 PDFBibTeX XMLCite \textit{S. Peitz} et al., Acta Appl. Math. 161, 171--199 (2019; Zbl 1415.76221) Full Text: DOI arXiv
Fehr, Jörg; Grunert, Dennis; Holzwarth, Philip; Fröhlich, Benjamin; Walker, Nadine; Eberhard, Peter Morembs – a model order reduction package for elastic multibody systems and beyond. (English) Zbl 1433.74004 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141-166 (2018). MSC: 74-04 65L60 65-04 74S99 34C20 74B20 65F15 65D05 41A05 49K15 PDFBibTeX XMLCite \textit{J. Fehr} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141--166 (2018; Zbl 1433.74004) Full Text: DOI
Benner, Peter; Braukmüller, Maike; Grundel, Sara A direct index 1 DAE model of gas networks. (English) Zbl 1416.78021 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 99-119 (2018). MSC: 78M10 65N30 65L80 35Q31 76N15 35R02 05C20 34C20 PDFBibTeX XMLCite \textit{P. Benner} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 99--119 (2018; Zbl 1416.78021) Full Text: DOI
Benner, Peter; Goyal, Pawan An iterative model reduction scheme for quadratic-bilinear descriptor systems with an application to Navier-Stokes equations. (English) Zbl 1416.76095 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 1-19 (2018). MSC: 76M10 65N30 65M06 65L60 65L80 34C20 35Q30 76D05 65F15 65D05 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Goyal}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 1--19 (2018; Zbl 1416.76095) 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
Redmann, Martin Type II balanced truncation for deterministic bilinear control systems. (English) Zbl 1392.93002 SIAM J. Control Optim. 56, No. 4, 2593-2612 (2018). MSC: 93A15 93B05 93B07 93B36 93C10 PDFBibTeX XMLCite \textit{M. Redmann}, SIAM J. Control Optim. 56, No. 4, 2593--2612 (2018; Zbl 1392.93002) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan; Gugercin, Serkan \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. (English) Zbl 1418.93048 SIAM J. Matrix Anal. Appl. 39, No. 2, 983-1032 (2018). MSC: 93B11 93A15 93C10 49L99 35Q93 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 983--1032 (2018; Zbl 1418.93048) Full Text: DOI arXiv
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N. Range-separated tensor format for many-particle modeling. (English) Zbl 1446.65202 SIAM J. Sci. Comput. 40, No. 2, A1034-A1062 (2018). MSC: 65P99 65F55 65F50 65N35 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 40, No. 2, A1034--A1062 (2018; Zbl 1446.65202) Full Text: DOI arXiv
Benner, Peter; Mena, Hermann Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. (English) Zbl 1444.65032 J. Numer. Math. 26, No. 1, 1-20 (2018). MSC: 65L06 65N12 49N05 93C20 93D15 PDFBibTeX XMLCite \textit{P. Benner} and \textit{H. Mena}, J. Numer. Math. 26, No. 1, 1--20 (2018; Zbl 1444.65032) Full Text: DOI Link
Egger, H.; Kugler, T.; Liljegren-Sailer, B.; Marheineke, N.; Mehrmann, V. On structure-preserving model reduction for damped wave propagation in transport networks. (English) Zbl 1383.65110 SIAM J. Sci. Comput. 40, No. 1, A331-A365 (2018). MSC: 65M20 35R10 35R02 65M60 65F10 PDFBibTeX XMLCite \textit{H. Egger} et al., SIAM J. Sci. Comput. 40, No. 1, A331--A365 (2018; Zbl 1383.65110) Full Text: DOI arXiv
Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan; Heiland, Jan Moment-matching based model reduction for Navier-Stokes type quadratic-bilinear descriptor systems. (English) Zbl 07775416 ZAMM, Z. Angew. Math. Mech. 97, No. 10, 1252-1267 (2017). MSC: 93Cxx 93Bxx 76Dxx PDFBibTeX XMLCite \textit{M. I. Ahmad} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 10, 1252--1267 (2017; Zbl 07775416) Full Text: DOI
Benner, Peter; Stykel, Tatjana Model order reduction for differential-algebraic equations: a survey. (English) Zbl 1402.93069 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations IV. Cham: Springer (ISBN 978-3-319-46617-0/pbk; 978-3-319-46618-7/ebook). Differential-Algebraic Equations Forum, 107-160 (2017). MSC: 93B11 93C15 93B25 93-02 65F30 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Stykel}, in: Surveys in differential-algebraic equations IV. Cham: Springer. 107--160 (2017; Zbl 1402.93069) Full Text: DOI
Lu, Yi; Marheineke, N.; Mohring, Jan Interpolation strategy for BT-based parametric MOR of gas pipeline-networks. (English) Zbl 1465.76078 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. MS&A, Model. Simul. Appl. 17, 387-401 (2017). MSC: 76M99 76N15 PDFBibTeX XMLCite \textit{Y. Lu} et al., MS\&A, Model. Simul. Appl. 17, 387--401 (2017; Zbl 1465.76078) Full Text: DOI
Benner, Peter; Goyal, Pawan; Redmann, Martin Truncated Gramians for bilinear systems and their advantages in model order reduction. (English) Zbl 1384.93028 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, 285-300 (2017). MSC: 93B11 93B05 93B07 93C10 93C15 PDFBibTeX XMLCite \textit{P. Benner} et al., MS\&A, Model. Simul. Appl. 17, 285--300 (2017; Zbl 1384.93028) Full Text: DOI
Komoda, Kazuma; Wagatsuma, Hiroaki Energy-efficacy comparisons and multibody dynamics analyses of legged robots with different closed-loop mechanisms. (English) Zbl 1418.70016 Multibody Syst. Dyn. 40, No. 2, 123-153 (2017). MSC: 70E60 70E55 PDFBibTeX XMLCite \textit{K. Komoda} and \textit{H. Wagatsuma}, Multibody Syst. Dyn. 40, No. 2, 123--153 (2017; Zbl 1418.70016) Full Text: DOI
Zahm, Olivier; Billaud-Friess, Marie; Nouy, Anthony Projection-based model order reduction methods for the estimation of vector-valued variables of interest. (English) Zbl 1372.65314 SIAM J. Sci. Comput. 39, No. 4, A1647-A1674 (2017). MSC: 65N30 35J25 35B30 65N15 PDFBibTeX XMLCite \textit{O. Zahm} et al., SIAM J. Sci. Comput. 39, No. 4, A1647--A1674 (2017; Zbl 1372.65314) Full Text: DOI arXiv
Kordy, Michal; Cherkaev, Elena; Wannamaker, Philip Null space correction and adaptive model order reduction in multi-frequency Maxwell’s problem. (English) Zbl 1372.35296 Adv. Comput. Math. 43, No. 1, 171-193 (2017). MSC: 35Q61 41A20 41A05 86-08 65N30 78M34 78M10 65N21 PDFBibTeX XMLCite \textit{M. Kordy} et al., Adv. Comput. Math. 43, No. 1, 171--193 (2017; Zbl 1372.35296) Full Text: DOI
Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan Krylov subspace-based model reduction for a class of bilinear descriptor systems. (English) Zbl 1402.65083 J. Comput. Appl. Math. 315, 303-318 (2017). MSC: 65L80 34A09 93B11 93C05 PDFBibTeX XMLCite \textit{M. I. Ahmad} et al., J. Comput. Appl. Math. 315, 303--318 (2017; Zbl 1402.65083) Full Text: DOI Link
Benner, Peter; Kürschner, Patrick; Tomljanović, Zoran; Truhar, Ninoslav Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm. (English) Zbl 07775049 ZAMM, Z. Angew. Math. Mech. 96, No. 5, 604-619 (2016). MSC: 74P10 70J10 74G65 70Q05 PDFBibTeX XMLCite \textit{P. Benner} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 5, 604--619 (2016; Zbl 07775049) Full Text: DOI
Bonin, Thomas; Faßbender, Heike; Soppa, Andreas; Zaeh, Michael A fully adaptive rational global Arnoldi method for the model-order reduction of second-order MIMO systems with proportional damping. (English) Zbl 07313622 Math. Comput. Simul. 122, 1-19 (2016). MSC: 93Bxx 65-XX 93Cxx 93Axx PDFBibTeX XMLCite \textit{T. Bonin} et al., Math. Comput. Simul. 122, 1--19 (2016; Zbl 07313622) Full Text: DOI
Wang, Xiaolong; Jiang, Yaolin Model reduction of discrete-time bilinear systems by a Laguerre expansion technique. (English) Zbl 1465.93022 Appl. Math. Modelling 40, No. 13-14, 6650-6662 (2016). MSC: 93B11 93A15 93C10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Jiang}, Appl. Math. Modelling 40, No. 13--14, 6650--6662 (2016; Zbl 1465.93022) Full Text: DOI
Simoncini, V. Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. (English) Zbl 06655499 SIAM J. Matrix Anal. Appl. 37, No. 4, 1655-1674 (2016). MSC: 47J20 65F30 49M99 49N35 93B52 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1655--1674 (2016; Zbl 06655499) Full Text: DOI arXiv
Breiten, Tobias Structure-preserving model reduction for integro-differential equations. (English) Zbl 1350.93025 SIAM J. Control Optim. 54, No. 6, 2992-3015 (2016). MSC: 93B11 93C05 93A15 93C15 93B40 PDFBibTeX XMLCite \textit{T. Breiten}, SIAM J. Control Optim. 54, No. 6, 2992--3015 (2016; Zbl 1350.93025) Full Text: DOI
Fehr, Jörg; Holzwarth, Philip; Eberhard, Peter Interface and model reduction for efficient explicit simulations – a case study with nonlinear vehicle crash models. (English) Zbl 1348.93027 Math. Comput. Model. Dyn. Syst. 22, No. 4, 380-396 (2016). MSC: 93A30 93B40 93B18 93C95 PDFBibTeX XMLCite \textit{J. Fehr} et al., Math. Comput. Model. Dyn. Syst. 22, No. 4, 380--396 (2016; Zbl 1348.93027) Full Text: DOI
Simoncini, V. Computational methods for linear matrix equations. (English) Zbl 1386.65124 SIAM Rev. 58, No. 3, 377-441 (2016). MSC: 65F30 65F10 15A24 15A06 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM Rev. 58, No. 3, 377--441 (2016; Zbl 1386.65124) Full Text: DOI Link
Kurbatov, V. G.; Kurbatova, I. V. Computation of a function of a matrix with close eigenvalues by means of the Newton interpolating polynomial. (English) Zbl 1331.65070 Linear Multilinear Algebra 64, No. 2, 111-122 (2016). MSC: 65F60 41A10 65D05 PDFBibTeX XMLCite \textit{V. G. Kurbatov} and \textit{I. V. Kurbatova}, Linear Multilinear Algebra 64, No. 2, 111--122 (2016; Zbl 1331.65070) Full Text: DOI arXiv
Benner, Peter; Saak, Jens; Monir Uddin, M. Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control. (English) Zbl 1330.93084 Numer. Algebra Control Optim. 6, No. 1, 1-20 (2016). MSC: 93B40 93B11 93B18 65F30 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algebra Control Optim. 6, No. 1, 1--20 (2016; Zbl 1330.93084) Full Text: DOI
Holzwarth, Philip; Eberhard, Peter SVD-based improvements for component mode synthesis in elastic multibody systems. (English) Zbl 1406.70028 Eur. J. Mech., A, Solids 49, 408-418 (2015). MSC: 70J50 65F15 PDFBibTeX XMLCite \textit{P. Holzwarth} and \textit{P. Eberhard}, Eur. J. Mech., A, Solids 49, 408--418 (2015; Zbl 1406.70028) Full Text: DOI
Fischer, Michael; Eberhard, Peter Application of parametric model reduction with matrix interpolation for simulation of moving loads in elastic multibody systems. (English) Zbl 1386.70015 Adv. Comput. Math. 41, No. 5, 1049-1072 (2015). MSC: 70E55 65L05 65L50 PDFBibTeX XMLCite \textit{M. Fischer} and \textit{P. Eberhard}, Adv. Comput. Math. 41, No. 5, 1049--1072 (2015; Zbl 1386.70015) Full Text: DOI
Benner, Peter; Redmann, Martin Model reduction for stochastic systems. (English) Zbl 1331.65017 Stoch. Partial Differ. Equ., Anal. Comput. 3, No. 3, 291-338 (2015). MSC: 65C30 60J75 60H15 60H10 34K28 93E25 PDFBibTeX XMLCite \textit{P. Benner} and \textit{M. Redmann}, Stoch. Partial Differ. Equ., Anal. Comput. 3, No. 3, 291--338 (2015; Zbl 1331.65017) Full Text: DOI
Baumann, Manuel; Heiland, Jan; Schmidt, Michael Discrete input/output maps and their relation to proper orthogonal decomposition. (English) Zbl 1327.65119 Benner, Peter (ed.) et al., Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer (ISBN 978-3-319-15259-2/hbk; 978-3-319-15260-8/ebook). 585-608 (2015). MSC: 65K10 PDFBibTeX XMLCite \textit{M. Baumann} et al., in: Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer. 585--608 (2015; Zbl 1327.65119) Full Text: DOI
Freitag, Melina A.; Kürschner, Patrick Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. (English) Zbl 1363.65061 Numer. Linear Algebra Appl. 22, No. 1, 175-196 (2015). MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{M. A. Freitag} and \textit{P. Kürschner}, Numer. Linear Algebra Appl. 22, No. 1, 175--196 (2015; Zbl 1363.65061) Full Text: DOI Link
Lin, Yiding; Simoncini, Valeria A new subspace iteration method for the algebraic Riccati equation. (English) Zbl 1363.65076 Numer. Linear Algebra Appl. 22, No. 1, 26-47 (2015). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{V. Simoncini}, Numer. Linear Algebra Appl. 22, No. 1, 26--47 (2015; Zbl 1363.65076) Full Text: DOI arXiv
Yuan, Jia-Wei; Jiang, Yao-Lin; Xiao, Zhi-Hua Structure-preserving model order reduction by general orthogonal polynomials for integral-differential systems. (English) Zbl 1307.93093 J. Franklin Inst. 352, No. 1, 138-154 (2015). MSC: 93B11 93A15 93C15 93B40 PDFBibTeX XMLCite \textit{J.-W. Yuan} et al., J. Franklin Inst. 352, No. 1, 138--154 (2015; Zbl 1307.93093) Full Text: DOI
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function. (English) Zbl 1300.65021 Numer. Algorithms 66, No. 2, 363-377 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 66, No. 2, 363--377 (2014; Zbl 1300.65021) Full Text: DOI
Suhr, Bettina; Rubeša, Jelena Model order reduction via proper orthogonal decomposition for a lithium-ion cell. (English) Zbl 1358.78070 COMPEL 32, No. 5, 1735-1748 (2013). MSC: 78M10 65M60 78A57 PDFBibTeX XMLCite \textit{B. Suhr} and \textit{J. Rubeša}, COMPEL 32, No. 5, 1735--1748 (2013; Zbl 1358.78070) Full Text: DOI
Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav Optimal damping of selected eigenfrequencies using dimension reduction. (English) Zbl 1289.70028 Numer. Linear Algebra Appl. 20, No. 1, 1-17 (2013). Reviewer: Krešimir Veseli (Hagen) MSC: 70J10 34C15 34C46 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Linear Algebra Appl. 20, No. 1, 1--17 (2013; Zbl 1289.70028) Full Text: DOI
Benner, Peter; Voigt, Matthias Spectral characterization and enforcement of negative imaginariness for descriptor systems. (English) Zbl 1278.93072 Linear Algebra Appl. 439, No. 4, 1104-1129 (2013). MSC: 93B25 65L80 15A22 15A23 PDFBibTeX XMLCite \textit{P. Benner} and \textit{M. Voigt}, Linear Algebra Appl. 439, No. 4, 1104--1129 (2013; Zbl 1278.93072) Full Text: DOI
Jarlebring, Elias; Damm, Tobias; Michiels, Wim Model reduction of time-delay systems using position balancing and delay Lyapunov equations. (English) Zbl 1272.93036 Math. Control Signals Syst. 25, No. 2, 147-166 (2013). MSC: 93B11 93B17 93C15 PDFBibTeX XMLCite \textit{E. Jarlebring} et al., Math. Control Signals Syst. 25, No. 2, 147--166 (2013; Zbl 1272.93036) Full Text: DOI Link
Li, Tiexiang; Weng, Peter Chang-Yi; Chu, Eric King-wah; Lin, Wen-Wei Large-scale Stein and Lyapunov equations, Smith method, and applications. (English) Zbl 1271.65079 Numer. Algorithms 63, No. 4, 727-752 (2013). MSC: 65F30 15A24 65F10 65Y20 PDFBibTeX XMLCite \textit{T. Li} et al., Numer. Algorithms 63, No. 4, 727--752 (2013; Zbl 1271.65079) Full Text: DOI
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. (English) Zbl 1252.76099 Math. Comput. Simul. 82, No. 10, 1986-2003 (2012). MSC: 76Z99 49M05 65K10 65M55 65M60 90C06 PDFBibTeX XMLCite \textit{H. Antil} et al., Math. Comput. Simul. 82, No. 10, 1986--2003 (2012; Zbl 1252.76099) Full Text: DOI
Nechepurenko, Yu. M. On the dimension reduction of linear differential-algebraic control systems. (English. Russian original) Zbl 1264.93033 Dokl. Math. 86, No. 1, 457-459 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 17-19 (2012). MSC: 93B11 34H05 PDFBibTeX XMLCite \textit{Yu. M. Nechepurenko}, Dokl. Math. 86, No. 1, 457--459 (2012; Zbl 1264.93033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 17--19 (2012) Full Text: DOI
Chen, Chun-Yue; Jiang, Yao-Lin; Chen, Hai-Bao An \(\varepsilon\)-embedding model-order reduction approach for differential-algebraic equation systems. (English) Zbl 1251.93042 Math. Comput. Model. Dyn. Syst. 18, No. 2, 223-241 (2012). MSC: 93B11 93A15 93C15 PDFBibTeX XMLCite \textit{C.-Y. Chen} et al., Math. Comput. Model. Dyn. Syst. 18, No. 2, 223--241 (2012; Zbl 1251.93042) Full Text: DOI Link
Blömeling, Frank Multi-level substructuring combined with model order reduction methods. (English) Zbl 1238.93024 Linear Algebra Appl. 436, No. 10, 3864-3882 (2012). MSC: 93B11 93C15 93B40 PDFBibTeX XMLCite \textit{F. Blömeling}, Linear Algebra Appl. 436, No. 10, 3864--3882 (2012; Zbl 1238.93024) Full Text: DOI
Singler, John R. Balanced POD for model reduction of linear PDE systems: convergence theory. (English) Zbl 1236.93060 Numer. Math. 121, No. 1, 127-164 (2012). MSC: 93B40 93C05 93B10 PDFBibTeX XMLCite \textit{J. R. Singler}, Numer. Math. 121, No. 1, 127--164 (2012; Zbl 1236.93060) Full Text: DOI
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Saadvandi, Maryam; Meerbergen, Karl; Jarlebring, Elias On dominant poles and model reduction of second order time-delay systems. (English) Zbl 1236.93080 Appl. Numer. Math. 62, No. 1, 21-34 (2012). MSC: 93B60 93B55 93C15 PDFBibTeX XMLCite \textit{M. Saadvandi} et al., Appl. Numer. Math. 62, No. 1, 21--34 (2012; Zbl 1236.93080) Full Text: DOI Link
Gabale, A.; Sinha, S. C. Construction of reduced order controllers for nonlinear systems with periodic coefficients. (English) Zbl 1271.93075 J. Vib. Control 17, No. 3, 391-406 (2011). MSC: 93C10 PDFBibTeX XMLCite \textit{A. Gabale} and \textit{S. C. Sinha}, J. Vib. Control 17, No. 3, 391--406 (2011; Zbl 1271.93075) Full Text: DOI
Mehrmann, Volker; Schröder, Christian Nonlinear eigenvalue and frequency response problems in industrial practice. (English) Zbl 1273.65058 J. Math. Ind. 1, Paper No. 7, 18 p. (2011). MSC: 65F18 15A18 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{C. Schröder}, J. Math. Ind. 1, Paper No. 7, 18 p. (2011; Zbl 1273.65058) Full Text: DOI
Druskin, V.; Simoncini, V. Adaptive rational Krylov subspaces for large-scale dynamical systems. (English) Zbl 1236.93035 Syst. Control Lett. 60, No. 8, 546-560 (2011). MSC: 93B11 93C05 PDFBibTeX XMLCite \textit{V. Druskin} and \textit{V. Simoncini}, Syst. Control Lett. 60, No. 8, 546--560 (2011; Zbl 1236.93035) Full Text: DOI
De Los Reyes, Juan Carlos; Stykel, Tatjana A balanced truncation-based strategy for optimal control of evolution problems. (English) Zbl 1227.49037 Optim. Methods Softw. 26, No. 4-5, 671-692 (2011). MSC: 49M27 65K05 93B11 PDFBibTeX XMLCite \textit{J. C. De Los Reyes} and \textit{T. Stykel}, Optim. Methods Softw. 26, No. 4--5, 671--692 (2011; Zbl 1227.49037) Full Text: DOI
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. (English) Zbl 1227.49046 Optim. Methods Softw. 26, No. 4-5, 643-669 (2011). MSC: 49Q10 65M55 76D07 PDFBibTeX XMLCite \textit{H. Antil} et al., Optim. Methods Softw. 26, No. 4--5, 643--669 (2011; Zbl 1227.49046) Full Text: DOI Link
Knizhnerman, L.; Simoncini, V. Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. (English) Zbl 1230.65055 Numer. Math. 118, No. 3, 567-586 (2011). Reviewer: Cyril Fischer (Praha) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{L. Knizhnerman} and \textit{V. Simoncini}, Numer. Math. 118, No. 3, 567--586 (2011; Zbl 1230.65055) Full Text: DOI
Heinkenschloss, M.; Reis, T.; Antoulas, A. C. Balanced truncation model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1216.93018 Automatica 47, No. 3, 559-564 (2011). MSC: 93B05 93B07 93C15 93B11 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., Automatica 47, No. 3, 559--564 (2011; Zbl 1216.93018) Full Text: DOI
Li, Bin; Bao, Liang; Lin, Yiqin; Wei, Yimin Model-order reduction of \(k\)th order MIMO dynamical systems using block \(k\)th order Krylov subspaces. (English) Zbl 1211.65080 Int. J. Comput. Math. 88, No. 1, 150-162 (2011). MSC: 65K10 93C15 93D25 65F10 PDFBibTeX XMLCite \textit{B. Li} et al., Int. J. Comput. Math. 88, No. 1, 150--162 (2011; Zbl 1211.65080) Full Text: DOI
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. (English) Zbl 1220.65074 Comput. Vis. Sci. 13, No. 6, 249-264 (2010). MSC: 65K10 49J20 49M27 49Q10 PDFBibTeX XMLCite \textit{H. Antil} et al., Comput. Vis. Sci. 13, No. 6, 249--264 (2010; Zbl 1220.65074) Full Text: DOI Link
Simoncini, V. Extended Krylov subspace for parameter dependent systems. (English) Zbl 1190.65052 Appl. Numer. Math. 60, No. 5, 550-560 (2010). MSC: 65F10 65F30 15A24 PDFBibTeX XMLCite \textit{V. Simoncini}, Appl. Numer. Math. 60, No. 5, 550--560 (2010; Zbl 1190.65052) Full Text: DOI
Meerbergen, Karl; Coyette, Jean-Pierre Connection and comparison between frequency shift time integration and a spectral transformation preconditioner. (English) Zbl 1224.65076 Numer. Linear Algebra Appl. 16, No. 1, 1-17 (2009). Reviewer: Miloslav Vlasák (Praha) MSC: 65F08 65L05 34A30 76Q05 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{J.-P. Coyette}, Numer. Linear Algebra Appl. 16, No. 1, 1--17 (2009; Zbl 1224.65076) Full Text: DOI
Lin, Yiqin; Bao, Liang; Yiminwei Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces. (English) Zbl 1189.93029 Comput. Math. Appl. 58, No. 6, 1093-1102 (2009). MSC: 93B11 PDFBibTeX XMLCite \textit{Y. Lin} et al., Comput. Math. Appl. 58, No. 6, 1093--1102 (2009; Zbl 1189.93029) Full Text: DOI
Verhoeven, Arie; Maten, Jan Ter; Striebel, Michael; Mattheij, Robert Model order reduction for nonlinear IC models. (English) Zbl 1238.34099 Korytowski, Adam (ed.) et al., System modeling and optimization. 23rd IFIP TC 7 conference, Cracow, Poland, July 23–27, 2007. Revised Selected Papers. Berlin: Springer (ISBN 978-3-642-04801-2/hbk; 978-3-642-04802-9/ebook). IFIP Advances in Information and Communication Technology 312, 476-491 (2009). MSC: 34C60 94C05 34C20 PDFBibTeX XMLCite \textit{A. Verhoeven} et al., IFIP Adv. Inf. Commun. Technol. 312, 476--491 (2009; Zbl 1238.34099) Full Text: DOI
Rommes, Joost; Martins, Nelson Exploiting structure in large-scale electrical circuit and power system problems. (English) Zbl 1185.93010 Linear Algebra Appl. 431, No. 3-4, 318-333 (2009). Reviewer: Nina Shokina (Freiburg) MSC: 93A15 65F15 65F50 93C40 94A12 93B11 PDFBibTeX XMLCite \textit{J. Rommes} and \textit{N. Martins}, Linear Algebra Appl. 431, No. 3--4, 318--333 (2009; Zbl 1185.93010) Full Text: DOI
Hechme, G.; Nechepurenko, Yu. M.; Sadkane, M. Model reduction for a class of linear descriptor systems. (English) Zbl 1172.65039 J. Comput. Appl. Math. 229, No. 1, 54-60 (2009). Reviewer: Neville Ford (Chester) MSC: 65L05 34A30 PDFBibTeX XMLCite \textit{G. Hechme} et al., J. Comput. Appl. Math. 229, No. 1, 54--60 (2009; Zbl 1172.65039) Full Text: DOI
Koutsovasilis, P.; Quarz, V.; Beitelschmidt, M. Standard input data for FEM-MBS coupling: Importing alternative model reduction methods into SIMPACK. (English) Zbl 1156.93324 Math. Comput. Model. Dyn. Syst. 15, No. 1, 51-68 (2009). MSC: 93B11 93A30 93C15 93B40 PDFBibTeX XMLCite \textit{P. Koutsovasilis} et al., Math. Comput. Model. Dyn. Syst. 15, No. 1, 51--68 (2009; Zbl 1156.93324) Full Text: DOI
Singler, John R.; Batten, Belinda A. A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems. (English) Zbl 1158.93016 Int. J. Comput. Math. 86, No. 2, 355-371 (2009). MSC: 93B11 93B40 93C05 PDFBibTeX XMLCite \textit{J. R. Singler} and \textit{B. A. Batten}, Int. J. Comput. Math. 86, No. 2, 355--371 (2009; Zbl 1158.93016) Full Text: DOI
Meerbergen, K. Fast frequency response computation for Rayleigh damping. (English) Zbl 1195.74066 Int. J. Numer. Methods Eng. 73, No. 1, 96-106 (2008). MSC: 74H15 74H45 70J50 PDFBibTeX XMLCite \textit{K. Meerbergen}, Int. J. Numer. Methods Eng. 73, No. 1, 96--106 (2008; Zbl 1195.74066) Full Text: DOI Link
Koutsovasilis, Javier P.; Beitelschmidt, M. Comparison of model reduction techniques for large mechanical systems. (English) Zbl 1332.70024 Multibody Syst. Dyn. 20, No. 2, 111-128 (2008). MSC: 70K20 93B11 74S05 PDFBibTeX XMLCite \textit{J. P. Koutsovasilis} and \textit{M. Beitelschmidt}, Multibody Syst. Dyn. 20, No. 2, 111--128 (2008; Zbl 1332.70024) Full Text: DOI
Reis, Timo; Stykel, Tatjana Balanced truncation model reduction of second-order systems. (English) Zbl 1151.93010 Math. Comput. Model. Dyn. Syst. 14, No. 5, 391-406 (2008). MSC: 93B11 93C15 93C05 93B60 PDFBibTeX XMLCite \textit{T. Reis} and \textit{T. Stykel}, Math. Comput. Model. Dyn. Syst. 14, No. 5, 391--406 (2008; Zbl 1151.93010) Full Text: DOI Link
Simoncini, Valeria; Szyld, Daniel B. Recent computational developments in Krylov subspace methods for linear systems. (English) Zbl 1199.65112 Numer. Linear Algebra Appl. 14, No. 1, 1-59 (2007). MSC: 65F10 65F50 65-02 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, Numer. Linear Algebra Appl. 14, No. 1, 1--59 (2007; Zbl 1199.65112) Full Text: DOI
Reis, Timo; Stykel, Tatjana Stability analysis and model order reduction of coupled systems. (English) Zbl 1137.93048 Math. Comput. Model. Dyn. Syst. 13, No. 5, 413-436 (2007). MSC: 93D20 93C05 93C15 93D99 93B60 PDFBibTeX XMLCite \textit{T. Reis} and \textit{T. Stykel}, Math. Comput. Model. Dyn. Syst. 13, No. 5, 413--436 (2007; Zbl 1137.93048) Full Text: DOI Link
Lin, Yiqin; Bao, Liang; Wei, Yimin Model-order reduction of large-scale second-order MIMO dynamical systems via a block second-order Arnoldi method. (English) Zbl 1131.65055 Int. J. Comput. Math. 84, No. 7, 1003-1019 (2007). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65K10 93B11 65F10 93A15 93C15 93C35 PDFBibTeX XMLCite \textit{Y. Lin} et al., Int. J. Comput. Math. 84, No. 7, 1003--1019 (2007; Zbl 1131.65055) Full Text: DOI