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
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
Zulfiqar, Umair; Sreeram, Victor; Ahmad, Mian Ilyas; Du, Xin Frequency-weighted \(\mathcal{H}_2\)-optimal model order reduction via oblique projection. (English) Zbl 1483.93050 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 182-198 (2022). MSC: 93B11 93C80 49K05 PDFBibTeX XMLCite \textit{U. Zulfiqar} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 182--198 (2022; Zbl 1483.93050) Full Text: DOI arXiv
Bertram, C.; Faßbender, H. A link between Gramian-based model order reduction and moment matching. (English) Zbl 1480.93050 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, 119-139 (2021). MSC: 93B11 93B05 93C05 65L06 PDFBibTeX XMLCite \textit{C. Bertram} and \textit{H. Faßbender}, ISNM, Int. Ser. Numer. Math. 171, 119--139 (2021; Zbl 1480.93050) Full Text: DOI arXiv
Jith, Jithin; Sarkar, Sunetra A model order reduction technique for systems with nonlinear frequency dependent damping. (English) Zbl 1481.93017 Appl. Math. Modelling 77, Part 2, 1662-1678 (2020). MSC: 93B11 70J35 PDFBibTeX XMLCite \textit{J. Jith} and \textit{S. Sarkar}, Appl. Math. Modelling 77, Part 2, 1662--1678 (2020; Zbl 1481.93017) Full Text: DOI
Kürschner, Patrick Approximate residual-minimizing shift parameters for the low-rank ADI iteration. (English) Zbl 1433.65086 ETNA, Electron. Trans. Numer. Anal. 51, 240-261 (2019). MSC: 65F55 65F45 65F10 PDFBibTeX XMLCite \textit{P. Kürschner}, ETNA, Electron. Trans. Numer. Anal. 51, 240--261 (2019; Zbl 1433.65086) Full Text: DOI arXiv Link
Xiao, Zhi-Hua; Jiang, Yao-Lin; Qi, Zhen-Zhong Finite-time balanced truncation for linear systems via shifted Legendre polynomials. (English) Zbl 1425.93067 Syst. Control Lett. 126, 48-57 (2019). MSC: 93B11 93A15 93D05 93C05 42C10 PDFBibTeX XMLCite \textit{Z.-H. Xiao} et al., Syst. Control Lett. 126, 48--57 (2019; Zbl 1425.93067) Full Text: DOI
Hossain, M. Sumon; Uddin, M. Monir Iterative methods for solving large sparse Lyapunov equations and application to model reduction of index 1 differential-algebraic-equations. (English) Zbl 1435.65070 Numer. Algebra Control Optim. 9, No. 2, 173-186 (2019). MSC: 65F99 15A24 93B11 93C70 PDFBibTeX XMLCite \textit{M. S. Hossain} and \textit{M. M. Uddin}, Numer. Algebra Control Optim. 9, No. 2, 173--186 (2019; Zbl 1435.65070) Full Text: DOI
Addam, Mohamed; Elbouyahyaoui, Lakhdar; Heyouni, Mohammed On Hessenberg type methods for low-rank Lyapunov matrix equations. (English) Zbl 1405.65040 Appl. Math. 45, No. 2, 255-273 (2018). MSC: 65F10 65F30 PDFBibTeX XMLCite \textit{M. Addam} et al., Appl. Math. 45, No. 2, 255--273 (2018; Zbl 1405.65040) Full Text: DOI
Qiu, Zhi-Yong; Jiang, Yao-Lin; Yuan, Jia-Wei Interpolatory model order reduction method for second order systems. (English) Zbl 1391.93052 Asian J. Control 20, No. 1, 312-322 (2018). MSC: 93B11 93C15 93C05 PDFBibTeX XMLCite \textit{Z.-Y. Qiu} et al., Asian J. Control 20, No. 1, 312--322 (2018; Zbl 1391.93052) Full Text: DOI
Townsend, Alex; Wilber, Heather On the singular values of matrices with high displacement rank. (English) Zbl 1446.65022 Linear Algebra Appl. 548, 19-41 (2018). MSC: 65F45 65F15 15A24 65F55 PDFBibTeX XMLCite \textit{A. Townsend} and \textit{H. Wilber}, Linear Algebra Appl. 548, 19--41 (2018; Zbl 1446.65022) Full Text: DOI arXiv
Hossain, Mohammad-Sahadet; Uddin, M. Monir Efficient techniques for solving the periodic projected Lyapunov equations and model reduction of periodic systems. (English) Zbl 1426.93033 Math. Probl. Eng. 2017, Article ID 4362641, 11 p. (2017). MSC: 93B11 65Q30 65F30 PDFBibTeX XMLCite \textit{M.-S. Hossain} and \textit{M. M. Uddin}, Math. Probl. Eng. 2017, Article ID 4362641, 11 p. (2017; Zbl 1426.93033) Full Text: DOI
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
Mohamed, K.; Mehdi, A.; Abdelkader, M. An iterative model order reduction method for large-scale dynamical systems. (English) Zbl 1373.93073 ANZIAM J. 59, No. 1, 115-133 (2017). MSC: 93B11 93A15 93C05 65F15 PDFBibTeX XMLCite \textit{K. Mohamed} et al., ANZIAM J. 59, No. 1, 115--133 (2017; Zbl 1373.93073) Full Text: DOI
Son, Nguyen Thanh; Stykel, Tatjana Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction. (English) Zbl 1367.65066 SIAM J. Matrix Anal. Appl. 38, No. 2, 478-504 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. T. Son} and \textit{T. Stykel}, SIAM J. Matrix Anal. Appl. 38, No. 2, 478--504 (2017; Zbl 1367.65066) Full Text: DOI
Yadykin, I. B.; Iskakov, A. B. Spectral decompositions for the solutions of Sylvester, Lyapunov, and Krein equations. (English. Russian original) Zbl 1366.15012 Dokl. Math. 95, No. 1, 103-107 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 388-392 (2017). MSC: 15A24 PDFBibTeX XMLCite \textit{I. B. Yadykin} and \textit{A. B. Iskakov}, Dokl. Math. 95, No. 1, 103--107 (2017; Zbl 1366.15012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 388--392 (2017) Full Text: DOI
Li, Yunlong; Wang, Xiaojun; Huang, Ren; Qiu, Zhiping Balanced-based model reduction of uncertain systems with interval parameters. (English) Zbl 1365.93030 J. Vib. Control 22, No. 12, 2958-2969 (2016). MSC: 93A30 93B11 93C41 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Vib. Control 22, No. 12, 2958--2969 (2016; Zbl 1365.93030) 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
Benner, Peter; Gugercin, Serkan; Willcox, Karen A survey of projection-based model reduction methods for parametric dynamical systems. (English) Zbl 1339.37089 SIAM Rev. 57, No. 4, 483-531 (2015). MSC: 37M99 35B30 41A05 65K99 93A15 93C05 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM Rev. 57, No. 4, 483--531 (2015; Zbl 1339.37089) Full Text: DOI Link
Kolesnikov, D. A.; Oseledets, I. V. From low-rank approximation to a rational Krylov subspace method for the Lyapunov equation. (English) Zbl 1327.65064 SIAM J. Matrix Anal. Appl. 36, No. 4, 1622-1637 (2015). MSC: 65F10 65F30 15A06 93B40 PDFBibTeX XMLCite \textit{D. A. Kolesnikov} and \textit{I. V. Oseledets}, SIAM J. Matrix Anal. Appl. 36, No. 4, 1622--1637 (2015; Zbl 1327.65064) Full Text: DOI arXiv
Ishizaki, Takayuki; Kashima, Kenji; Girard, Antoine; Imura, Jun-Ichi; Chen, Luonan; Aihara, Kazuyuki Clustered model reduction of positive directed networks. (English) Zbl 1326.93017 Automatica 59, 238-247 (2015). MSC: 93B11 93C05 93C95 PDFBibTeX XMLCite \textit{T. Ishizaki} et al., Automatica 59, 238--247 (2015; Zbl 1326.93017) Full Text: DOI HAL
Akar, Nail Fitting matrix geometric distributions by model reduction. (English) Zbl 1328.62227 Stoch. Models 31, No. 2, 292-315 (2015). MSC: 62G07 78M34 PDFBibTeX XMLCite \textit{N. Akar}, Stoch. Models 31, No. 2, 292--315 (2015; Zbl 1328.62227) Full Text: DOI Link
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
Baur, Ulrike; Benner, Peter; Feng, Lihong Model order reduction for linear and nonlinear systems: a system-theoretic perspective. (English) Zbl 1348.93075 Arch. Comput. Methods Eng. 21, No. 4, 331-358 (2014). MSC: 93B17 PDFBibTeX XMLCite \textit{U. Baur} et al., Arch. Comput. Methods Eng. 21, No. 4, 331--358 (2014; Zbl 1348.93075) Full Text: DOI
Presho, Michael; Protasov, Anastasiya; Gildin, Eduardo Local-global model reduction of parameter-dependent, single-phase flow models via balanced truncation. (English) Zbl 1329.76187 J. Comput. Appl. Math. 271, 163-179 (2014). MSC: 76M10 65M60 35Q35 65M50 76S05 PDFBibTeX XMLCite \textit{M. Presho} et al., J. Comput. Appl. Math. 271, 163--179 (2014; Zbl 1329.76187) Full Text: DOI
Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. (English) Zbl 1305.65158 Numer. Algorithms 67, No. 3, 669-690 (2014). MSC: 65K10 93C55 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 67, No. 3, 669--690 (2014; Zbl 1305.65158) Full Text: DOI Link
Xiao, Zhi-Hua; Jiang, Yao-Lin Dimension reduction for second-order systems by general orthogonal polynomials. (English) Zbl 1298.93100 Math. Comput. Model. Dyn. Syst. 20, No. 4, 414-432 (2014). MSC: 93B11 93C15 93A15 65L07 PDFBibTeX XMLCite \textit{Z.-H. Xiao} and \textit{Y.-L. Jiang}, Math. Comput. Model. Dyn. Syst. 20, No. 4, 414--432 (2014; Zbl 1298.93100) Full Text: DOI
Wang, Xiang; Li, Wen-Wei; Dai, Lin On inexact Newton methods based on doubling iteration scheme for symmetric algebraic Riccati equations. (English) Zbl 1293.65080 J. Comput. Appl. Math. 260, 364-374 (2014). MSC: 65H10 65F30 15A24 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Comput. Appl. Math. 260, 364--374 (2014; Zbl 1293.65080) Full Text: DOI
Yadykin, I. B.; Iskakov, A. B.; Akhmetzyanov, A. V. Stability analysis of large-scale dynamical systems by sub-Gramian approach. (English) Zbl 1291.93234 Int. J. Robust Nonlinear Control 24, No. 8-9, 1361-1379 (2014). MSC: 93D05 93A15 93B11 93C15 PDFBibTeX XMLCite \textit{I. B. Yadykin} et al., Int. J. Robust Nonlinear Control 24, No. 8--9, 1361--1379 (2014; Zbl 1291.93234) Full Text: DOI
Luo, Ziyan; Tao, Jiyuan; Xiu, Naihua Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetric cone. (English) Zbl 1291.90189 Linear Algebra Appl. 452, 68-88 (2014). MSC: 90C26 90C25 90C59 15A06 15B48 PDFBibTeX XMLCite \textit{Z. Luo} et al., Linear Algebra Appl. 452, 68--88 (2014; Zbl 1291.90189) Full Text: DOI
Wang, Xiang; Li, Wen-Wei; Mao, Liang-Zhi On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\). (English) Zbl 1350.65038 Comput. Math. Appl. 66, No. 11, 2352-2361 (2013). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Math. Appl. 66, No. 11, 2352--2361 (2013; Zbl 1350.65038) Full Text: DOI
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
Benner, Peter; Saak, Jens Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. (English) Zbl 1279.65044 GAMM-Mitt. 36, No. 1, 32-52 (2013). MSC: 65F30 15A24 65F10 65-02 PDFBibTeX XMLCite \textit{P. Benner} and \textit{J. Saak}, GAMM-Mitt. 36, No. 1, 32--52 (2013; Zbl 1279.65044) Full Text: DOI
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
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim Projection based model reduction for optimal design of the time-dependent Stokes system. (English) Zbl 1356.65156 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 75-98 (2012). MSC: 65K10 49M05 49M15 93A15 65M55 65M60 76Z99 90C06 PDFBibTeX XMLCite \textit{T. Franke} et al., ISNM, Int. Ser. Numer. Math. 160, 75--98 (2012; Zbl 1356.65156) Full Text: DOI Link
Bagheri, Shervin Computational hydrodynamic stability and flow control based on spectral analysis of linear operators. (English) Zbl 1354.76038 Arch. Comput. Methods Eng. 19, No. 3, 341-379 (2012). MSC: 76D05 76E99 47A10 PDFBibTeX XMLCite \textit{S. Bagheri}, Arch. Comput. Methods Eng. 19, No. 3, 341--379 (2012; Zbl 1354.76038) Full Text: DOI
Selga, Rosa Castañé; Lohmann, Boris; Eid, Rudy Stability preservation in projection-based model order reduction of large scale systems. (English) Zbl 1302.93056 Eur. J. Control 18, No. 2, 122-132 (2012); erratum ibid. 20, No. 5, 269 (2014). MSC: 93B10 93A15 93D99 93C15 PDFBibTeX XMLCite \textit{R. C. Selga} et al., Eur. J. Control 18, No. 2, 122--132 (2012; Zbl 1302.93056) Full Text: DOI Link
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
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
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
Mi, Wen; Qian, Tao; Wan, Feng A fast adaptive model reduction method based on Takenaka-Malmquist systems. (English) Zbl 1256.93029 Syst. Control Lett. 61, No. 1, 223-230 (2012). MSC: 93B11 93C40 93B40 PDFBibTeX XMLCite \textit{W. Mi} et al., Syst. Control Lett. 61, No. 1, 223--230 (2012; Zbl 1256.93029) Full Text: DOI
Sadkane, Miloud A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations. (English) Zbl 1260.65040 Linear Algebra Appl. 436, No. 8, 2807-2827 (2012). Reviewer: Martin Plešinger (Liberec) MSC: 65F30 15A24 65F25 65F10 PDFBibTeX XMLCite \textit{M. Sadkane}, Linear Algebra Appl. 436, No. 8, 2807--2827 (2012; Zbl 1260.65040) 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
Stykel, T.; Simoncini, V. Krylov subspace methods for projected Lyapunov equations. (English) Zbl 1258.65044 Appl. Numer. Math. 62, No. 1, 35-50 (2012). Reviewer: George A. Gravvanis (Xanthi) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{T. Stykel} and \textit{V. Simoncini}, Appl. Numer. Math. 62, No. 1, 35--50 (2012; Zbl 1258.65044) Full Text: DOI
Eid, Rudy; Castañé-Selga, Rosa; Panzer, Heiko; Wolf, Thomas; Lohmann, Boris Stability-preserving parametric model reduction by matrix interpolation. (English) Zbl 1302.93057 Math. Comput. Model. Dyn. Syst. 17, No. 4, 319-335 (2011). MSC: 93B11 93D05 93C15 PDFBibTeX XMLCite \textit{R. Eid} et al., Math. Comput. Model. Dyn. Syst. 17, No. 4, 319--335 (2011; Zbl 1302.93057) Full Text: DOI Link
Benner, Peter; Faßbender, Heike On the numerical solution of large-scale sparse discrete-time Riccati equations. (English) Zbl 1230.65070 Adv. Comput. Math. 35, No. 2-4, 119-147 (2011). MSC: 65K10 49J20 49M15 49N10 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} and \textit{H. Faßbender}, Adv. Comput. Math. 35, No. 2--4, 119--147 (2011; Zbl 1230.65070) 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
Wu, Ai-Guo; Feng, Gang; Duan, Guang-Ren; Liu, Wanquan Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation. (English) Zbl 1215.65086 Appl. Math. Comput. 217, No. 9, 4427-4438 (2011). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{A.-G. Wu} et al., Appl. Math. Comput. 217, No. 9, 4427--4438 (2011; Zbl 1215.65086) 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
Dehghan, Mehdi; Hajarian, Masoud An efficient algorithm for solving general coupled matrix equations and its application. (English) Zbl 1208.65054 Math. Comput. Modelling 51, No. 9-10, 1118-1134 (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Hajarian}, Math. Comput. Modelling 51, No. 9--10, 1118--1134 (2010; Zbl 1208.65054) Full Text: DOI
Truhar, Ninoslav; Tomljanović, Zoran; Li, Ren-Cang Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts. (English) Zbl 1193.65045 Syst. Control Lett. 59, No. 3-4, 248-257 (2010). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. Truhar} et al., Syst. Control Lett. 59, No. 3--4, 248--257 (2010; Zbl 1193.65045) Full Text: DOI
An, Yu’e; Gu, Chuanqing Model reduction for large-scale dynamical systems via equality constrained least squares. (English) Zbl 1201.65108 J. Comput. Appl. Math. 234, No. 8, 2420-2431 (2010). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65K10 93A15 93E24 93B20 93C80 65F10 PDFBibTeX XMLCite \textit{Y. An} and \textit{C. Gu}, J. Comput. Appl. Math. 234, No. 8, 2420--2431 (2010; Zbl 1201.65108) Full Text: DOI
Zhou, Bin; Lam, James; Duan, Guang-Ren On Smith-type iterative algorithms for the Stein matrix equation. (English) Zbl 1179.15016 Appl. Math. Lett. 22, No. 7, 1038-1044 (2009). MSC: 15A24 PDFBibTeX XMLCite \textit{B. Zhou} et al., Appl. Math. Lett. 22, No. 7, 1038--1044 (2009; Zbl 1179.15016) Full Text: DOI
Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav On the ADI method for Sylvester equations. (English) Zbl 1176.65050 J. Comput. Appl. Math. 233, No. 4, 1035-1045 (2009). MSC: 65F30 15A24 40C05 37L99 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Comput. Appl. Math. 233, No. 4, 1035--1045 (2009; Zbl 1176.65050) Full Text: DOI
Gu, Chuanqing; Xue, Huiyan A shift-splitting hierarchical identification method for solving Lyapunov matrix equations. (English) Zbl 1169.65037 Linear Algebra Appl. 430, No. 5-6, 1517-1530 (2009). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{C. Gu} and \textit{H. Xue}, Linear Algebra Appl. 430, No. 5--6, 1517--1530 (2009; Zbl 1169.65037) Full Text: DOI
Zhou, Y.; Sorensen, D. C. Approximate implicit subspace iteration with alternating directions for LTI system model reduction. (English) Zbl 1212.65258 Numer. Linear Algebra Appl. 15, No. 9, 873-886 (2008). MSC: 65K10 65F30 15A24 93B40 65F10 93B11 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{D. C. Sorensen}, Numer. Linear Algebra Appl. 15, No. 9, 873--886 (2008; Zbl 1212.65258) Full Text: DOI
Gugercin, Serkan An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems. (English) Zbl 1137.93006 Linear Algebra Appl. 428, No. 8-9, 1964-1986 (2008). MSC: 93A15 93B11 93D20 PDFBibTeX XMLCite \textit{S. Gugercin}, Linear Algebra Appl. 428, No. 8--9, 1964--1986 (2008; Zbl 1137.93006) Full Text: DOI
Gugercin, Serkan; Willcox, Karen Krylov projection framework for Fourier model reduction. (English) Zbl 1138.93017 Automatica 44, No. 1, 209-215 (2008). MSC: 93B11 93B20 93B28 PDFBibTeX XMLCite \textit{S. Gugercin} and \textit{K. Willcox}, Automatica 44, No. 1, 209--215 (2008; Zbl 1138.93017) Full Text: DOI
Baur, U.; Benner, P. Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic. (English) Zbl 1111.65039 Computing 78, No. 3, 211-234 (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F30 65F10 15A24 93B40 PDFBibTeX XMLCite \textit{U. Baur} and \textit{P. Benner}, Computing 78, No. 3, 211--234 (2006; Zbl 1111.65039) Full Text: DOI
Gugercin, Serkan; Antoulas, Athanasios C. Model reduction of large-scale systems by least squares. (English) Zbl 1112.93015 Linear Algebra Appl. 415, No. 2-3, 290-321 (2006). Reviewer: Andrea Bacciotti (Torino) MSC: 93B11 93C15 93D99 93C55 PDFBibTeX XMLCite \textit{S. Gugercin} and \textit{A. C. Antoulas}, Linear Algebra Appl. 415, No. 2--3, 290--321 (2006; Zbl 1112.93015) Full Text: DOI
Gugercin, Serkan; Antoulas, Athanasios C. A survey of model reduction by balanced truncation and some new results. (English) Zbl 1061.93022 Int. J. Control 77, No. 8, 748-766 (2004). MSC: 93B11 93B17 93-02 PDFBibTeX XMLCite \textit{S. Gugercin} and \textit{A. C. Antoulas}, Int. J. Control 77, No. 8, 748--766 (2004; Zbl 1061.93022) Full Text: DOI
Gallivan, K.; Vandendorpe, A.; Van Dooren, P. Sylvester equations and projection-based model reduction. (English) Zbl 1044.65054 J. Comput. Appl. Math. 162, No. 1, 213-229 (2004). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 65K10 93B11 93C05 65F10 15A24 93C15 PDFBibTeX XMLCite \textit{K. Gallivan} et al., J. Comput. Appl. Math. 162, No. 1, 213--229 (2004; Zbl 1044.65054) Full Text: DOI