Breiten, Tobias; Höveler, Bernhard On the approximability of Koopman-based operator Lyapunov equations. (English) Zbl 07755484 SIAM J. Control Optim. 61, No. 5, 3131-3155 (2023). MSC: 93D30 93C10 93B28 47D06 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{B. Höveler}, SIAM J. Control Optim. 61, No. 5, 3131--3155 (2023; Zbl 07755484) Full Text: DOI arXiv
Kressner, Daniel; Massei, Stefano; Zhu, Junli Improved ParaDiag via low-rank updates and interpolation. (English) Zbl 1523.65041 Numer. Math. 155, No. 1-2, 175-209 (2023). MSC: 65F45 65F10 65M22 93C20 PDFBibTeX XMLCite \textit{D. Kressner} et al., Numer. Math. 155, No. 1--2, 175--209 (2023; Zbl 1523.65041) Full Text: DOI arXiv OA License
Embree, Mark; Ioniţă, A. Cosmin Pseudospectra of Loewner matrix pencils. (English) Zbl 1504.93141 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. 59-78 (2022). MSC: 93B60 93B15 15A22 PDFBibTeX XMLCite \textit{M. Embree} and \textit{A. C. Ioniţă}, in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 59--78 (2022; Zbl 1504.93141) Full Text: DOI arXiv
Shamolin, Maksim Vladimirovich Problems of differential and topological diagnostics. VI: Statistical solving of the problem of differential diagnostics. (Russian. English summary) Zbl 1495.93042 Vestn. Samar. Univ., Estestvennonauchn. Ser. 27, No. 1, 74-80 (2021). MSC: 93C20 93B24 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 27, No. 1, 74--80 (2021; Zbl 1495.93042) Full Text: DOI MNR
Breiten, Tobias; Stykel, Tatjana Balancing-related model reduction methods. (English) Zbl 1505.93028 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15-56 (2021). MSC: 93B11 65F45 93C80 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{T. Stykel}, in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15--56 (2021; Zbl 1505.93028) Full Text: DOI
Son, Nguyen Thanh; Gousenbourger, Pierre-Yves; Massart, Estelle; Stykel, Tatjana Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches. (English) Zbl 1480.93063 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, 31-51 (2021). MSC: 93B11 93B25 93B27 93C05 PDFBibTeX XMLCite \textit{N. T. Son} et al., ISNM, Int. Ser. Numer. Math. 171, 31--51 (2021; Zbl 1480.93063) Full Text: DOI arXiv
Behr, Maximilian; Benner, Peter; Heiland, Jan Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. (English) Zbl 1510.65168 Appl. Math. Comput. 410, Article ID 126401, 28 p. (2021). MSC: 65L60 15A24 PDFBibTeX XMLCite \textit{M. Behr} et al., Appl. Math. Comput. 410, Article ID 126401, 28 p. (2021; Zbl 1510.65168) Full Text: DOI
Chen, Hao; Wang, Ying Modified Douglas splitting method for differential matrix equations. (English) Zbl 1462.65080 J. Comput. Appl. Math. 384, Article ID 113162, 16 p. (2021). MSC: 65L05 65F45 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Wang}, J. Comput. Appl. Math. 384, Article ID 113162, 16 p. (2021; Zbl 1462.65080) Full Text: DOI
Shamolin, Maksim Vladimirovich Problems of differential and topological diagnostics. V: The case of trajectorial measurements with error. (Russian. English summary) Zbl 1489.93049 Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 3, 30-39 (2020). MSC: 93C20 93B24 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 3, 30--39 (2020; Zbl 1489.93049) Full Text: DOI MNR
Shamolin, Maksim Vladimirovich Problems of differential and topological diagnostics. IV: The case of exact trajectorial measurements. (Russian. English summary) Zbl 1458.93038 Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 1, 52-68 (2020). MSC: 93B07 93B70 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 1, 52--68 (2020; Zbl 1458.93038) Full Text: DOI MNR
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
Opmeer, Mark R. Decay of singular values for infinite-dimensional systems with Gevrey regularity. (English) Zbl 1441.93139 Syst. Control Lett. 137, Article ID 104644, 10 p. (2020). MSC: 93C35 93C20 93B11 93D23 PDFBibTeX XMLCite \textit{M. R. Opmeer}, Syst. Control Lett. 137, Article ID 104644, 10 p. (2020; Zbl 1441.93139) Full Text: DOI
Kuehn, Christian; Kürschner, Patrick Combined error estimates for local fluctuations of SPDEs. (English) Zbl 07189697 Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020). MSC: 65C30 65M99 60H15 35R60 37M99 15A24 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{P. Kürschner}, Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020; Zbl 07189697) Full Text: DOI arXiv
Mena, Hermann; Pfurtscheller, Lena-Maria; Stillfjord, Tony GPU acceleration of splitting schemes applied to differential matrix equations. (English) Zbl 1441.65057 Numer. Algorithms 83, No. 1, 395-419 (2020). Reviewer: Andreas Mang (Houston) MSC: 65L05 65F60 65Y20 PDFBibTeX XMLCite \textit{H. Mena} et al., Numer. Algorithms 83, No. 1, 395--419 (2020; Zbl 1441.65057) Full Text: DOI arXiv
Kastian, Steffen; Reese, Stefanie An adaptive way of choosing significant snapshots for proper orthogonal decomposition. (English) Zbl 1425.74471 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 67-79 (2020). MSC: 74S05 65M60 65K10 74P10 PDFBibTeX XMLCite \textit{S. Kastian} and \textit{S. Reese}, IUTAM Bookser. 36, 67--79 (2020; Zbl 1425.74471) Full Text: DOI
Shamolin, Maksim Vladimirovich Problems of differential and topological diagnostics. III: The checking problem. (Russian. English summary) Zbl 1455.93140 Vestn. Samar. Univ., Estestvennonauchn. Ser. 25, No. 4, 36-47 (2019). MSC: 93C95 93C15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 25, No. 4, 36--47 (2019; Zbl 1455.93140) Full Text: DOI MNR
Shamolin, Maksim Vladimirovich Problems of differential and topological diagnostics. II: Problem of differential diagnostics. (Russian. English summary) Zbl 1455.93139 Vestn. Samar. Univ., Estestvennonauchn. Ser. 25, No. 3, 22-32 (2019). MSC: 93C95 93C15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 25, No. 3, 22--32 (2019; Zbl 1455.93139) Full Text: DOI MNR
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
Shamolin, M. V. Problems of differential and topological diagnostics. I: Motion equations and classification of malfunctions. (Russian. English summary) Zbl 1429.93260 Vestn. Samar. Univ., Estestvennonauchn. Ser. 25, No. 1, 32-43 (2019). MSC: 93C95 93C15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 25, No. 1, 32--43 (2019; Zbl 1429.93260) Full Text: DOI MNR
Beckermann, Bernhard; Townsend, Alex Bounds on the singular values of matrices with displacement structure. (English) Zbl 1441.15005 SIAM Rev. 61, No. 2, 319-344 (2019). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 15A60 15B48 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM Rev. 61, No. 2, 319--344 (2019; Zbl 1441.15005) Full Text: DOI
Ostermann, Alexander; Piazzola, Chiara; Walach, Hanna Convergence of a low-rank Lie-Trotter splitting for stiff matrix differential equations. (English) Zbl 1420.65072 SIAM J. Numer. Anal. 57, No. 4, 1947-1966 (2019). MSC: 65L04 65L20 65M12 65F30 49J20 PDFBibTeX XMLCite \textit{A. Ostermann} et al., SIAM J. Numer. Anal. 57, No. 4, 1947--1966 (2019; Zbl 1420.65072) Full Text: DOI arXiv
Kressner, Daniel; Massei, Stefano; Robol, Leonardo Low-rank updates and a divide-and-conquer method for linear matrix equations. (English) Zbl 1448.65034 SIAM J. Sci. Comput. 41, No. 2, A848-A876 (2019). MSC: 65F45 65F55 15A06 93C20 PDFBibTeX XMLCite \textit{D. Kressner} et al., SIAM J. Sci. Comput. 41, No. 2, A848--A876 (2019; Zbl 1448.65034) Full Text: DOI arXiv
Kürschner, Patrick Balanced truncation model order reduction in limited time intervals for large systems. (English) Zbl 1453.65093 Adv. Comput. Math. 44, No. 6, 1821-1844 (2018). MSC: 65F60 15A16 15A24 93B11 PDFBibTeX XMLCite \textit{P. Kürschner}, Adv. Comput. Math. 44, No. 6, 1821--1844 (2018; Zbl 1453.65093) Full Text: DOI arXiv
Massei, Stefano; Palitta, Davide; Robol, Leonardo Solving rank-structured Sylvester and Lyapunov equations. (English) Zbl 1404.65036 SIAM J. Matrix Anal. Appl. 39, No. 4, 1564-1590 (2018). MSC: 65F30 65F50 15A24 65D32 65Y15 PDFBibTeX XMLCite \textit{S. Massei} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1564--1590 (2018; Zbl 1404.65036) Full Text: DOI arXiv
Stillfjord, Tony Singular value decay of operator-valued differential Lyapunov and Riccati equations. (English) Zbl 06950098 SIAM J. Control Optim. 56, No. 5, 3598-3618 (2018). MSC: 47A62 47A11 49N10 PDFBibTeX XMLCite \textit{T. Stillfjord}, SIAM J. Control Optim. 56, No. 5, 3598--3618 (2018; Zbl 06950098) Full Text: DOI arXiv
Stillfjord, Tony Adaptive high-order splitting schemes for large-scale differential Riccati equations. (English) Zbl 1404.65060 Numer. Algorithms 78, No. 4, 1129-1151 (2018). Reviewer: Costică Moroşanu (Iaşi) MSC: 65L05 15A24 65F30 93A15 PDFBibTeX XMLCite \textit{T. Stillfjord}, Numer. Algorithms 78, No. 4, 1129--1151 (2018; Zbl 1404.65060) Full Text: DOI arXiv Link
Schmidt, Andreas; Haasdonk, Bernard Reduced basis approximation of large scale parametric algebraic Riccati equations. (English) Zbl 1396.49030 ESAIM, Control Optim. Calc. Var. 24, No. 1, 129-151 (2018). MSC: 49M30 49N05 93B36 34K35 93B52 65G99 PDFBibTeX XMLCite \textit{A. Schmidt} and \textit{B. Haasdonk}, ESAIM, Control Optim. Calc. Var. 24, No. 1, 129--151 (2018; Zbl 1396.49030) Full Text: DOI
Mena, Hermann; Ostermann, Alexander; Pfurtscheller, Lena-Maria; Piazzola, Chiara Numerical low-rank approximation of matrix differential equations. (English) Zbl 1432.65090 J. Comput. Appl. Math. 340, 602-614 (2018). MSC: 65L05 49J20 65L10 65F45 PDFBibTeX XMLCite \textit{H. Mena} et al., J. Comput. Appl. Math. 340, 602--614 (2018; Zbl 1432.65090) Full Text: DOI arXiv
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
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
Beckermann, Bernhard; Townsend, Alex On the singular values of matrices with displacement structure. (English) Zbl 1386.15024 SIAM J. Matrix Anal. Appl. 38, No. 4, 1227-1248 (2017). MSC: 15A18 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1227--1248 (2017; Zbl 1386.15024) Full Text: DOI arXiv Backlinks: MO
Olshevsky, Alex Eigenvalue clustering, control energy, and logarithmic capacity. (English) Zbl 1347.93040 Syst. Control Lett. 96, 45-50 (2016). MSC: 93A15 93B60 93C55 93C05 PDFBibTeX XMLCite \textit{A. Olshevsky}, Syst. Control Lett. 96, 45--50 (2016; Zbl 1347.93040) Full Text: DOI arXiv
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; Kürschner, Patrick; Saak, Jens Frequency-limited balanced truncation with low-rank approximations. (English) Zbl 1391.65123 SIAM J. Sci. Comput. 38, No. 1, A471-A499 (2016). MSC: 65F60 15A16 15A18 15A24 93B11 93A15 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 38, No. 1, A471--A499 (2016; Zbl 1391.65123) Full Text: DOI
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
Kressner, Daniel; Uschmajew, André On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems. (English) Zbl 1336.65093 Linear Algebra Appl. 493, 556-572 (2016). MSC: 65J10 15A69 41A25 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{A. Uschmajew}, Linear Algebra Appl. 493, 556--572 (2016; Zbl 1336.65093) Full Text: DOI arXiv
Benner, Peter; Bujanović, Zvonimir On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. (English) Zbl 1330.15017 Linear Algebra Appl. 488, 430-459 (2016). MSC: 15A24 15A18 15B57 65F15 65F30 PDFBibTeX XMLCite \textit{P. Benner} and \textit{Z. Bujanović}, Linear Algebra Appl. 488, 430--459 (2016; Zbl 1330.15017) Full Text: DOI
van de Wouw, Nathan; Michiels, Wim; Besselink, Bart Model reduction for delay differential equations with guaranteed stability and error bound. (English) Zbl 1378.93028 Automatica 55, 132-139 (2015). MSC: 93B11 93D25 93C15 PDFBibTeX XMLCite \textit{N. van de Wouw} et al., Automatica 55, 132--139 (2015; Zbl 1378.93028) Full Text: DOI Link
Kressner, Daniel; Sirković, Petar Truncated low-rank methods for solving general linear matrix equations. (English) Zbl 1363.65075 Numer. Linear Algebra Appl. 22, No. 3, 564-583 (2015). MSC: 65F30 15A24 65F08 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{P. Sirković}, Numer. Linear Algebra Appl. 22, No. 3, 564--583 (2015; Zbl 1363.65075) Full Text: DOI
Rostami, Minghao W. New algorithms for computing the real structured pseudospectral abscissa and the real stability radius of large and sparse matrices. (English) Zbl 1325.65067 SIAM J. Sci. Comput. 37, No. 5, S447-S471 (2015). MSC: 65F50 65F15 15A18 15A24 PDFBibTeX XMLCite \textit{M. W. Rostami}, SIAM J. Sci. Comput. 37, No. 5, S447--S471 (2015; Zbl 1325.65067) Full Text: DOI Link
Mironovskii, L. A.; Solov’eva, T. N. Analysis of multiplicity of Hankel singular values of control systems. (English. Russian original) Zbl 1322.93049 Autom. Remote Control 76, No. 2, 205-218 (2015); translation from Avtom. Telemekh. 2015, No. 2, 18-33 (2015). MSC: 93B60 93C05 93B05 15A18 PDFBibTeX XMLCite \textit{L. A. Mironovskii} and \textit{T. N. Solov'eva}, Autom. Remote Control 76, No. 2, 205--218 (2015; Zbl 1322.93049); translation from Avtom. Telemekh. 2015, No. 2, 18--33 (2015) Full Text: DOI
Baker, Jonathan; Embree, Mark; Sabino, John Fast singular value decay for Lyapunov solutions with nonnormal coefficients. (English) Zbl 1320.15011 SIAM J. Matrix Anal. Appl. 36, No. 2, 656-668 (2015). MSC: 15A24 15A18 15A60 65F15 65F30 93B05 93B40 PDFBibTeX XMLCite \textit{J. Baker} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 656--668 (2015; Zbl 1320.15011) 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
Grubišić, Luka; Kressner, Daniel On the eigenvalue decay of solutions to operator Lyapunov equations. (English) Zbl 1297.93088 Syst. Control Lett. 73, 42-47 (2014). MSC: 93B60 93B28 47N10 PDFBibTeX XMLCite \textit{L. Grubišić} and \textit{D. Kressner}, Syst. Control Lett. 73, 42--47 (2014; Zbl 1297.93088) Full Text: DOI
Benner, Peter; Breiten, Tobias On optimality of approximate low rank solutions of large-scale matrix equations. (English) Zbl 1292.65040 Syst. Control Lett. 67, 55-64 (2014). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Syst. Control Lett. 67, 55--64 (2014; Zbl 1292.65040) Full Text: DOI
Mironovskii, L. A.; Solov’eva, T. N. Analysis and synthesis of modally balanced systems. (English. Russian original) Zbl 1277.93036 Autom. Remote Control 74, No. 4, 588-603 (2013); translation from Avtom. Telemekh. 2013, No. 4, 59-79 (2013). MSC: 93B60 93C05 93C15 PDFBibTeX XMLCite \textit{L. A. Mironovskii} and \textit{T. N. Solov'eva}, Autom. Remote Control 74, No. 4, 588--603 (2013; Zbl 1277.93036); translation from Avtom. Telemekh. 2013, No. 4, 59--79 (2013) Full Text: DOI
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
Benner, Peter; Breiten, Tobias Low rank methods for a class of generalized Lyapunov equations and related issues. (English) Zbl 1266.65068 Numer. Math. 124, No. 3, 441-470 (2013). MSC: 65F30 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Numer. Math. 124, No. 3, 441--470 (2013; Zbl 1266.65068) 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
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
Meerbergen, Karl; Vandebril, Raf A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. (English) Zbl 1247.65049 Linear Algebra Appl. 436, No. 8, 2828-2844 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{R. Vandebril}, Linear Algebra Appl. 436, No. 8, 2828--2844 (2012; Zbl 1247.65049) 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
Mikkelsen, Carl Christian Kjelgaard Retracing the residual curve of a Lyapunov equation solver. (English) Zbl 1246.65073 BIT 51, No. 4, 959-975 (2011). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F30 PDFBibTeX XMLCite \textit{C. C. K. Mikkelsen}, BIT 51, No. 4, 959--975 (2011; Zbl 1246.65073) Full Text: DOI Link
Opmeer, Mark R. Decay of Hankel singular values of analytic control systems. (English) Zbl 1205.93075 Syst. Control Lett. 59, No. 10, 635-638 (2010). MSC: 93C25 93B10 PDFBibTeX XMLCite \textit{M. R. Opmeer}, Syst. Control Lett. 59, No. 10, 635--638 (2010; Zbl 1205.93075) Full Text: DOI Link
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
Morris, Kirsten; Navasca, Carmeliza Approximation of low rank solutions for linear quadratic control of partial differential equations. (English) Zbl 1192.49030 Comput. Optim. Appl. 46, No. 1, 93-111 (2010). MSC: 49M15 70Q05 34H05 PDFBibTeX XMLCite \textit{K. Morris} and \textit{C. Navasca}, Comput. Optim. Appl. 46, No. 1, 93--111 (2010; Zbl 1192.49030) 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
Baur, U. Low rank solution of data-sparse Sylvester equations. (English) Zbl 1212.65173 Numer. Linear Algebra Appl. 15, No. 9, 837-851 (2008). MSC: 65F30 15A24 65F50 PDFBibTeX XMLCite \textit{U. Baur}, Numer. Linear Algebra Appl. 15, No. 9, 837--851 (2008; Zbl 1212.65173) Full Text: DOI
Grasedyck, L. Nonlinear multigrid for the solution of large-scale Riccati equations in low-rank and \(\mathcal H\)-matrix format. (English) Zbl 1212.65178 Numer. Linear Algebra Appl. 15, No. 9, 779-807 (2008). MSC: 65F30 15A24 65F50 93C20 49J20 65K10 PDFBibTeX XMLCite \textit{L. Grasedyck}, Numer. Linear Algebra Appl. 15, No. 9, 779--807 (2008; Zbl 1212.65178) Full Text: DOI
Benner, Peter; Li, Jing-Rebecca; Penzl, Thilo Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. (English) Zbl 1212.65245 Numer. Linear Algebra Appl. 15, No. 9, 755-777 (2008). MSC: 65K10 65F30 15A24 93C05 65F50 65H10 49N10 49N35 93B52 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Linear Algebra Appl. 15, No. 9, 755--777 (2008; Zbl 1212.65245) 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
Truhar, Ninoslav; Veselić, KreŠimir Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix. (English) Zbl 1117.93066 Syst. Control Lett. 56, No. 7-8, 493-503 (2007). MSC: 93D30 93B60 15A24 15A18 PDFBibTeX XMLCite \textit{N. Truhar} and \textit{K. Veselić}, Syst. Control Lett. 56, No. 7--8, 493--503 (2007; Zbl 1117.93066) Full Text: DOI
Caracciolo, R.; Richiedei, D.; Trevisani, A. Design and experimental validation of piecewise-linear state observers for flexible link mechanisms. (English) Zbl 1163.70306 Meccanica 41, No. 6, 623-637 (2006). MSC: 70E60 74K99 70-05 PDFBibTeX XMLCite \textit{R. Caracciolo} et al., Meccanica 41, No. 6, 623--637 (2006; Zbl 1163.70306) Full Text: DOI
Benner, Peter Numerical linear algebra for model reduction in control and simulation. (English) Zbl 1157.93337 GAMM-Mitt. 29, No. 2, 275-296 (2006). MSC: 93B11 65F30 41A20 65F15 93-02 15A18 PDFBibTeX XMLCite \textit{P. Benner}, GAMM-Mitt. 29, No. 2, 275--296 (2006; Zbl 1157.93337) 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
Stykel, Tatjana Balanced truncation model reduction for semidiscretized Stokes equation. (English) Zbl 1102.65075 Linear Algebra Appl. 415, No. 2-3, 262-289 (2006). Reviewer: Piotr Matus (Minsk) MSC: 65K10 37N10 93A15 65M20 93B05 93B07 93B11 03C20 35Q30 35B37 PDFBibTeX XMLCite \textit{T. Stykel}, Linear Algebra Appl. 415, No. 2--3, 262--289 (2006; Zbl 1102.65075) 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
Sorensen, D. C.; Antoulas, A. C. The Sylvester equation and approximate balanced reduction. (English) Zbl 1023.93012 Linear Algebra Appl. 351-352, 671-700 (2002). Reviewer: L.Rodman (Williamsburg) MSC: 93B11 15A24 93B20 41A05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI