Edit Profile (opens in new tab) Stykel, Tatjana Co-Author Distance Author ID: stykel.tatjana Published as: Stykel, Tatjana; Stykel, T. Documents Indexed: 45 Publications since 2002, including 1 Book and 2 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 40 Co-Authors with 37 Joint Publications 1,533 Co-Co-Authors all top 5 Co-Authors 11 single-authored 9 Reis, Timo 7 Benner, Peter 7 Son, Nguyen Thanh 4 Gao, Bin 3 Absil, Pierre-Antoine 2 Altmann, Robert 2 Breiten, Tobias 2 Faßbender, Heike 2 Hinze, Michael 2 Peterseim, Daniel 2 Zimmermann, Ralf 1 Ahmad, Mian Ilyas 1 Asif, Mian Mohammad Arsalan 1 Bollhöfer, Matthias 1 Castagnotto, Alessandro 1 Chill, Ralph 1 De los Reyes, Juan Carlos 1 Feng, Lihong 1 Gousenbourger, Pierre-Yves 1 Gugercin, Serkan 1 Güttel, Stefan 1 Hogben, Leslie 1 Hossain, Mohammad-Sahadet 1 Kerler-Back, Johanna 1 Kressner, Daniel 1 Lang, Norman 1 Lohmann, Boris 1 Massart, Estelle M. 1 Mehl, Christian 1 Mehrmann, Volker 1 Möckel, Jens 1 Narayan, Akil C. 1 Nguyen Thanh Son 1 Pálfia, Miklós 1 Pulch, Roland 1 Saak, Jens 1 Seiwald, Philipp 1 Simoncini, Valeria 1 Steinbrecher, Andreas 1 Wyatt, Sarah all top 5 Serials 5 Linear Algebra and its Applications 3 Mathematical and Computer Modelling of Dynamical Systems 2 International Journal of Control 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 Advances in Computational Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 IEEE Transactions on Automatic Control 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Numerical Algorithms 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 ELA. The Electronic Journal of Linear Algebra 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 SIAM Journal on Applied Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 ISNM. International Series of Numerical Mathematics 1 Evolution Equations and Control Theory all top 5 Fields 29 Systems theory; control (93-XX) 26 Numerical analysis (65-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 500 times in 314 Documents Cited by ▼ Year ▼ Balanced truncation model reduction for large-scale system in descriptor form. Zbl 1107.93013 Mehrmann, Volker; Stykel, Tatjana 49 2005 Gramian-based model reduction for descriptor systems. Zbl 1067.93011 Stykel, Tatjana 43 2004 Model reduction of descriptor systems by interpolatory projection methods. Zbl 1290.41001 Gugercin, Serkan; Stykel, Tatjana; Wyatt, Sarah 43 2013 Balanced truncation model reduction of second-order systems. Zbl 1151.93010 Reis, Timo; Stykel, Tatjana 39 2008 Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385 Stykel, Tatjana 26 2008 Positive real and bounded real balancing for model reduction of descriptor systems. Zbl 1184.93026 Reis, Timo; Stykel, Tatjana 26 2010 Balanced truncation model reduction for semidiscretized Stokes equation. Zbl 1102.65075 Stykel, Tatjana 23 2006 Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069 Benner, Peter; Stykel, Tatjana 21 2017 Stability and inertia theorems for generalized Lyapunov equations. Zbl 1016.15010 Stykel, Tatjana 16 2002 On some norms for descriptor systems. Zbl 1366.93064 Stykel, Tatjana 16 2006 Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Zbl 1305.65158 Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana 16 2014 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044 Stykel, T.; Simoncini, V. 16 2012 Numerical solution and perturbation theory for generalized Lyapunov equations. Zbl 1003.65042 Stykel, Tatjana 15 2002 Lyapunov balancing for passivity-preserving model reduction of RC circuits. Zbl 1213.78038 Reis, Timo; Stykel, Tatjana 14 2011 On criteria for asymptotic stability of differential-algebraic equations. Zbl 1014.34037 Stykel, T. 13 2002 Riemannian optimization on the symplectic Stiefel manifold. Zbl 1507.65100 Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana 12 2021 Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction. Zbl 1367.65066 Son, Nguyen Thanh; Stykel, Tatjana 11 2017 Analysis and numerical solution of generalized Lyapunov equations. Zbl 1097.65074 Stykel, Tatjana 11 2002 Stability analysis and model order reduction of coupled systems. Zbl 1137.93048 Reis, Timo; Stykel, Tatjana 11 2007 Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems. Zbl 1236.93036 Möckel, Jens; Reis, Timo; Stykel, Tatjana 10 2011 Numerical solution of projected algebraic Riccati equations. Zbl 1298.65076 Benner, Peter; Stykel, Tatjana 9 2014 Balanced truncation model reduction for linear time-varying systems. Zbl 1417.93089 Lang, N.; Saak, J.; Stykel, T. 8 2016 Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Zbl 1322.00048 7 2015 A survey on model reduction of coupled systems. Zbl 1154.93013 Reis, Timo; Stykel, Tatjana 7 2008 Model order reduction of parameterized circuit equations based on interpolation. Zbl 1336.93037 Son, Nguyen Thanh; Stykel, Tatjana 5 2015 A modified matrix sign function method for projected Lyapunov equations. Zbl 1125.93053 Stykel, Tatjana 5 2007 Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. Zbl 1458.93040 Asif, Mian Mohammad Arsalan; Ahmad, Mian Ilyas; Benner, Peter; Feng, Lihong; Stykel, Tatjana 4 2021 Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization. Zbl 1480.15011 Son, Nguyen Thanh; Absil, P.-A.; Gao, Bin; Stykel, Tatjana 4 2021 A two-step model reduction approach for mechanical systems with moving loads. Zbl 1326.93018 Stykel, Tatjana; Vasilyev, Alexander 3 2016 Balanced truncation model reduction for descriptor systems. Zbl 1354.93029 Stykel, Tatjana 3 2003 Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177 Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana 3 2022 A balanced truncation-based strategy for optimal control of evolution problems. Zbl 1227.49037 De Los Reyes, Juan Carlos; Stykel, Tatjana 2 2011 Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric. Zbl 1490.53071 Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana 2 2021 Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem. Zbl 1500.15008 Son, Nguyen Thanh; Stykel, Tatjana 2 2022 Balancing-related model reduction methods. Zbl 1505.93028 Breiten, Tobias; Stykel, Tatjana 2 2021 Generalized alternating direction implicit method for projected generalized Lyapunov equations. Zbl 1354.65083 Stykel, Tatjana 1 2004 Balanced truncation model reduction for 3D linear magneto-quasistatic field problems. Zbl 1504.93044 Kerler-Back, Johanna; Stykel, Tatjana 1 2022 Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions. Zbl 1517.35222 Chill, Ralph; Reis, Timo; Stykel, Tatjana 1 2023 Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions. Zbl 1517.35222 Chill, Ralph; Reis, Timo; Stykel, Tatjana 1 2023 Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177 Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana 3 2022 Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem. Zbl 1500.15008 Son, Nguyen Thanh; Stykel, Tatjana 2 2022 Balanced truncation model reduction for 3D linear magneto-quasistatic field problems. Zbl 1504.93044 Kerler-Back, Johanna; Stykel, Tatjana 1 2022 Riemannian optimization on the symplectic Stiefel manifold. Zbl 1507.65100 Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana 12 2021 Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. Zbl 1458.93040 Asif, Mian Mohammad Arsalan; Ahmad, Mian Ilyas; Benner, Peter; Feng, Lihong; Stykel, Tatjana 4 2021 Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization. Zbl 1480.15011 Son, Nguyen Thanh; Absil, P.-A.; Gao, Bin; Stykel, Tatjana 4 2021 Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric. Zbl 1490.53071 Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana 2 2021 Balancing-related model reduction methods. Zbl 1505.93028 Breiten, Tobias; Stykel, Tatjana 2 2021 Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069 Benner, Peter; Stykel, Tatjana 21 2017 Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction. Zbl 1367.65066 Son, Nguyen Thanh; Stykel, Tatjana 11 2017 Balanced truncation model reduction for linear time-varying systems. Zbl 1417.93089 Lang, N.; Saak, J.; Stykel, T. 8 2016 A two-step model reduction approach for mechanical systems with moving loads. Zbl 1326.93018 Stykel, Tatjana; Vasilyev, Alexander 3 2016 Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Zbl 1322.00048 7 2015 Model order reduction of parameterized circuit equations based on interpolation. Zbl 1336.93037 Son, Nguyen Thanh; Stykel, Tatjana 5 2015 Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Zbl 1305.65158 Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana 16 2014 Numerical solution of projected algebraic Riccati equations. Zbl 1298.65076 Benner, Peter; Stykel, Tatjana 9 2014 Model reduction of descriptor systems by interpolatory projection methods. Zbl 1290.41001 Gugercin, Serkan; Stykel, Tatjana; Wyatt, Sarah 43 2013 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044 Stykel, T.; Simoncini, V. 16 2012 Lyapunov balancing for passivity-preserving model reduction of RC circuits. Zbl 1213.78038 Reis, Timo; Stykel, Tatjana 14 2011 Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems. Zbl 1236.93036 Möckel, Jens; Reis, Timo; Stykel, Tatjana 10 2011 A balanced truncation-based strategy for optimal control of evolution problems. Zbl 1227.49037 De Los Reyes, Juan Carlos; Stykel, Tatjana 2 2011 Positive real and bounded real balancing for model reduction of descriptor systems. Zbl 1184.93026 Reis, Timo; Stykel, Tatjana 26 2010 Balanced truncation model reduction of second-order systems. Zbl 1151.93010 Reis, Timo; Stykel, Tatjana 39 2008 Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385 Stykel, Tatjana 26 2008 A survey on model reduction of coupled systems. Zbl 1154.93013 Reis, Timo; Stykel, Tatjana 7 2008 Stability analysis and model order reduction of coupled systems. Zbl 1137.93048 Reis, Timo; Stykel, Tatjana 11 2007 A modified matrix sign function method for projected Lyapunov equations. Zbl 1125.93053 Stykel, Tatjana 5 2007 Balanced truncation model reduction for semidiscretized Stokes equation. Zbl 1102.65075 Stykel, Tatjana 23 2006 On some norms for descriptor systems. Zbl 1366.93064 Stykel, Tatjana 16 2006 Balanced truncation model reduction for large-scale system in descriptor form. Zbl 1107.93013 Mehrmann, Volker; Stykel, Tatjana 49 2005 Gramian-based model reduction for descriptor systems. Zbl 1067.93011 Stykel, Tatjana 43 2004 Generalized alternating direction implicit method for projected generalized Lyapunov equations. Zbl 1354.65083 Stykel, Tatjana 1 2004 Balanced truncation model reduction for descriptor systems. Zbl 1354.93029 Stykel, Tatjana 3 2003 Stability and inertia theorems for generalized Lyapunov equations. Zbl 1016.15010 Stykel, Tatjana 16 2002 Numerical solution and perturbation theory for generalized Lyapunov equations. Zbl 1003.65042 Stykel, Tatjana 15 2002 On criteria for asymptotic stability of differential-algebraic equations. Zbl 1014.34037 Stykel, T. 13 2002 Analysis and numerical solution of generalized Lyapunov equations. Zbl 1097.65074 Stykel, Tatjana 11 2002 all cited Publications top 5 cited Publications all top 5 Cited by 453 Authors 51 Benner, Peter 22 Stykel, Tatjana 15 Saak, Jens 13 Gugercin, Serkan 11 Reis, Timo 9 Jiang, Yaolin 8 Goyal, Pawan 8 Pulch, Roland 8 Voigt, Matthias 7 Eberhard, Peter 7 Kürschner, Patrick 7 Mehrmann, Volker 7 Werner, Steffen W. R. 6 Antoulas, Athanasios C. 6 Beattie, Christopher A. 6 Breiten, Tobias 6 Feng, Lihong 6 Gosea, Ion Victor 6 Hajarian, Masoud 6 Heiland, Jan 5 Haasdonk, Bernard 5 Jbilou, Khalide 5 Lv, Lingling 5 Son, Nguyen Thanh 5 Uddin, Mohammad Monir 4 Absil, Pierre-Antoine 4 Ahmad, Mian Ilyas 4 Banagaaya, Nicodemus 4 Fehr, Jörg 4 Gao, Bin 4 Heinkenschloss, Matthias 4 Hossain, Mohammad-Sahadet 4 Mlinarić, Petar 4 Schilders, Wil H. A. 4 Simoncini, Valeria 4 Willcox, Karen E. 4 Xiao, Zhihua 4 Zhang, Zhe 3 Bao, Liang 3 Hamadi, M. A. 3 Hoppe, Ronald H. W. 3 Karasözen, Bülent 3 Lin, Yiqin 3 Linh, Vu Hoang 3 Lohmann, Boris 3 Mengi, Emre 3 Ratnani, Ahmed 3 Uzunca, Murat 3 Wang, Qingwen 3 Weichelt, Heiko K. 3 Yıldız, Süleyman 3 Zhang, Lei 2 Abo-Hammour, Za’er S. 2 Al-Smadi, Adnan M. 2 Alì, Giuseppe 2 Alsmadi, Othman M. K. 2 Andrianova, Olga G. 2 Antil, Harbir 2 Augustin, Florian 2 Bachelier, Olivier 2 Bänsch, Eberhard 2 Baur, Ulrike 2 Bollhöfer, Matthias 2 Bujanović, Zvonimir 2 Campbell, Stephen LaVern 2 Damm, Tobias 2 Deutscher, Joachim 2 Du, Xin 2 Fischer, Michael J. 2 Garmatter, Dominik 2 Ghafoor, Abdul 2 Gil’, Michael Iosif 2 Guiver, Chris 2 Harkort, Christian 2 Henning, Patrick 2 Krämer, Boris 2 Liljegren-Sailer, Björn 2 Linsenmann, Christopher 2 Ma, Changfeng 2 Magruder, Caleb C. 2 Marheineke, Nicole 2 Mehdi, Driss 2 Nechepurenko, Yuri M. 2 Opmeer, Mark R. 2 Peherstorfer, Benjamin 2 Pontes Duff, Igor 2 Qiu, Zhiyong 2 Rommes, Joost 2 Sari, Bilal 2 Schwerdtner, Paul 2 Simeon, Bernd 2 Stoll, Martin 2 Szyld, Daniel B. 2 Tischendorf, Caren 2 Trentelman, Harry L. 2 Unger, Benjamin 2 Wang, Xiaolong 2 Wang, Zhu 2 Wei, Yimin 2 Wixforth, Achim ...and 353 more Authors all top 5 Cited in 90 Serials 20 SIAM Journal on Scientific Computing 18 Linear Algebra and its Applications 14 Journal of the Franklin Institute 13 Mathematical and Computer Modelling of Dynamical Systems 12 Advances in Computational Mathematics 11 Automatica 11 Systems & Control Letters 10 International Journal of Control 9 Journal of Computational and Applied Mathematics 9 SIAM Journal on Matrix Analysis and Applications 8 Numerical Algorithms 6 Mathematics and Computers in Simulation 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 BIT 5 Applied Numerical Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Scientific Computing 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Asian Journal of Control 4 Numerical Algebra, Control and Optimization 3 MCSS. Mathematics of Control, Signals, and Systems 3 Automation and Remote Control 3 Computational Optimization and Applications 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 3 Multibody System Dynamics 3 Acta Numerica 2 Journal of Computational Physics 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Circuits, Systems, and Signal Processing 2 SIAM Review 2 ELA. The Electronic Journal of Linear Algebra 2 Mathematical Problems in Engineering 2 European Journal of Control 2 Optimization Methods & Software 2 Mathematical Modelling and Analysis 2 GAMM-Mitteilungen 1 Biological Cybernetics 1 International Journal of General Systems 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Calcolo 1 Computing 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Circuit Theory and Applications 1 Journal of Optimization Theory and Applications 1 Optimal Control Applications & Methods 1 Physica D 1 Computational Mechanics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Journal of Computer and Systems Sciences International 1 Turkish Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 Archives of Computational Methods in Engineering 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Advances in Difference Equations 1 Journal of Control Theory and Applications 1 Journal of Industrial and Management Optimization 1 Acta Mechanica Sinica 1 Optimization Letters 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Control Science and Engineering 1 Functional Analysis, Approximation and Computation 1 Mathematical Control and Related Fields 1 Journal of Mathematics in Industry 1 Evolution Equations and Control Theory 1 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 34 Fields 169 Systems theory; control (93-XX) 147 Numerical analysis (65-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 32 Ordinary differential equations (34-XX) 23 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 17 Operations research, mathematical programming (90-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of particles and systems (70-XX) 13 Mechanics of deformable solids (74-XX) 8 Approximations and expansions (41-XX) 8 Operator theory (47-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year