Publications of Tobias Breiten

Benner, P. & Breiten, T. (2015)Two-Sided Projection Methods for Nonlinear Model Order ReductionSIAM Journal on Scientific Computing, 37 (2), B239–B260doi: 10.1137/14097255X.

Benner, P. & Breiten, T. (2014)On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix EquationsSystems & Control Letters, 67, 55–64doi: 10.1016/j.sysconle.2014.02.005.

Benner, P. & Breiten, T. (2014)Rational Interpolation Methods for Symmetric Sylvester EquationsElectronic Transactions on Numerical Analysis, 42, 147–164doi: 10.17617/2.2060858.

Benner, P. & Breiten, T. (2013)Low Rank Methods for a Class of Generalized Lyapunov Equations and Related IssuesNumerische Mathematik, 124 (3), 441–470doi: 10.1007/s00211-013-0521-0.

Benner, P. & Breiten, T. (2012)Interpolation-Based H₂-Model Reduction of Bilinear Control SystemsSIAM Journal on Matrix Analysis and Applications, 33 (3), 859–885doi: 10.1137/110836742.

Benner, P., Breiten, T., & Damm, T. (2011)Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear SystemsInternational Journal of Control, 84 (8), 1398–1407doi: 10.1080/00207179.2011.601761.

Benner, P. & Breiten, T. (2012)Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models using Bilinear and Quadratic-Linear ApproximationsProgress in Industrial Mathematics at ECMI 2010153–159Berlin: Springerdoi: 10.1007/978-3-642-25100-9_18.

Benner, P. & Breiten, T. (2011)On H₂-Model Reduction of Linear Parameter-Varying SystemsIn: Proceedings in Applied Mathematics and Mechanics, 805–806doi: 10.1002/pamm.201110391.

Breiten, T. & Benner, P. (2010)Nonlinear Model Order Reduction via Quadratic Bilinear Differential Algebraic EquationsIn: Proceedings GMA FA 1.30 2010, 138–153.

Breiten, T. & Benner, P.Interpolatory Reduction Methods for Parameter-dependent Dynamic Control SystemsPresented at: 5th International Conference on High Performance Scientific ComputingHanoi, Vietnam, March 5, 2012.

Breiten, T. & Benner, P.On optimality of interpolation-based low-rank approximations of large-scale matrix equationsPresented at: 83rd GAMM Annual Scientific ConferenceDarmstadt, Germany, March 26, 2012.

Breiten, T. & Benner, P.On Optimality of rational Krylov based low-rank approximations of large-scale matrix equationsPresented at: SIAM Conference on Applied Linear AlgebraValencia, Spain, June 18, 2012.

Breiten, T. & Benner, P.On H₂-Model Reduction of Linear Parameter-Varying SystemsPresented at: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)Graz, Austria, April 18, 2011.

Breiten, T. & Benner, P.Approximation of Multiparametric Functions from a Model Reduction Point of ViewPresented at: 27th GAMM Seminar on Approximation of Multiparametric FuntionsLeipzig, Germany, January 26, 2011.

Breiten, T. & Benner, P.Structure-preserving model reduction for LPV systems based on rational interpolationPresented at: 7th International Congress on Industrial and Applied MathematicsVancouver, Canada, July 18, 2011.

Breiten, T. & Benner, P.Solving Large-Scale Riccati Equations Arising in Stochastic ControlPresented at: 17th ILAS ConferenceBraunschweig, Germany, August 22, 2011.

Breiten, T. & Damm, T.Krylov Subspace Methos for Model Order Reduction of Bilinear Control SystemsPresented at: 81st GAMM Annual Scientific ConferenceKarlsruhe, Germany, March 22, 2010.

Breiten, T. (2013)Interpolatory Methods for Model Reduction of Large-Scale Dynamical SystemsPhD Thesis, Otto-von-Guericke Universität, Magdeburgdoi: 10.25673/3917.