Publications of Tobias Breiten
All genres
Journal Article (6)
2015
Journal Article
37 (2), pp. B239 - B260 (2015)
Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM Journal on Scientific Computing 2014
Journal Article
67, pp. 55 - 64 (2014)
On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters
Journal Article
42, pp. 147 - 164 (2014)
Rational Interpolation Methods for Symmetric Sylvester Equations. Electronic Transactions on Numerical Analysis 2013
Journal Article
124 (3), pp. 441 - 470 (2013)
Low Rank Methods for a Class of Generalized Lyapunov Equations and Related Issues. Numerische Mathematik 2012
Journal Article
33 (3), pp. 859 - 885 (2012)
Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 2011
Journal Article
84 (8), pp. 1398 - 1407 (2011)
Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems. International Journal of Control Book Chapter (1)
2012
Book Chapter
Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models using Bilinear and Quadratic-Linear Approximations. In: Progress in Industrial Mathematics at ECMI 2010, pp. 153 - 159 (Eds. Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M.). Springer, Berlin (2012)
Conference Paper (2)
2011
Conference Paper
11 (1), pp. 805 - 806 (2011)
On H2-Model Reduction of Linear Parameter-Varying Systems. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18, 2011 - April 21, 2011. Proceedings in Applied Mathematics and Mechanics 2010
Conference Paper
Nonlinear Model Order Reduction via Quadratic Bilinear Differential Algebraic Equations. In: Proceedings GMA FA 1.30 2010, pp. 138 - 153 (Eds. Lohmann, B.; Kugi, A.). GMA FA 1.30 Workshop "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 22, 2010 - September 24, 2010. (2010)
Talk (8)
2012
Talk
Interpolatory Reduction Methods for Parameter-dependent Dynamic Control Systems. 5th International Conference on High Performance Scientific Computing, Hanoi, Vietnam (2012)
Talk
On optimality of interpolation-based low-rank approximations of large-scale matrix equations. 83rd GAMM Annual Scientific Conference, Darmstadt, Germany (2012)
Talk
On Optimality of rational Krylov based low-rank approximations of large-scale matrix equations. SIAM Conference on Applied Linear Algebra, Valencia, Spain (2012)
2011
Talk
On H2-Model Reduction of Linear Parameter-Varying Systems. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria (2011)
Talk
Approximation of Multiparametric Functions from a Model Reduction Point of View. 27th GAMM Seminar on Approximation of Multiparametric Funtions, Leipzig, Germany (2011)
Talk
Structure-preserving model reduction for LPV systems based on rational interpolation. 7th International Congress on Industrial and Applied Mathematics, Vancouver, Canada (2011)
Talk
Solving Large-Scale Riccati Equations Arising in Stochastic Control. 17th ILAS Conference, Braunschweig, Germany (2011)
2010
Talk
Krylov Subspace Methos for Model Order Reduction of Bilinear Control Systems. 81st GAMM Annual Scientific Conference, Karlsruhe, Germany (2010)
Thesis - PhD (1)
2013
Thesis - PhD
Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2013)