Publications

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Journal Article (6)

  1. 1.
    Journal Article
    Benner, P.; Breiten, T.: Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM Journal on Scientific Computing 37 (2), pp. B239 - B260 (2015)
  2. 2.
    Journal Article
    Benner, P.; Breiten, T.: On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters 67, pp. 55 - 64 (2014)
  3. 3.
    Journal Article
    Benner, P.; Breiten, T.: Rational Interpolation Methods for Symmetric Sylvester Equations. Electronic Transactions on Numerical Analysis (ETNA) 42, pp. 147 - 164 (2014)
  4. 4.
    Journal Article
    Benner, P.; Breiten, T.: Low Rank Methods for a Class of Generalized Lyapunov Equations and Related Issues. Numerische Mathematik 124 (3), pp. 441 - 470 (2013)
  5. 5.
    Journal Article
    Benner, P.; Breiten, T.: Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 33 (3), pp. 859 - 885 (2012)
  6. 6.
    Journal Article
    Benner, P.; Breiten, T.; Damm, T.: Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems. International Journal of Control 84 (8), pp. 1398 - 1407 (2011)

Book Chapter (1)

  1. 7.
    Book Chapter
    Benner, P.; Breiten, T.: 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)

  1. 8.
    Conference Paper
    Benner, P.; Breiten, T.: 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 11 (1), pp. 805 - 806 (2011)
  2. 9.
    Conference Paper
    Breiten, T.; Benner, P.: 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)

  1. 10.
    Talk
    Breiten, T.; Benner, P.: Interpolatory Reduction Methods for Parameter-dependent Dynamic Control Systems. 5th International Conference on High Performance Scientific Computing, Hanoi, Vietnam (2012)
  2. 11.
    Talk
    Breiten, T.; Benner, P.: On optimality of interpolation-based low-rank approximations of large-scale matrix equations. 83rd GAMM Annual Scientific Conference, Darmstadt, Germany (2012)
  3. 12.
    Talk
    Breiten, T.; Benner, P.: On Optimality of rational Krylov based low-rank approximations of large-scale matrix equations. SIAM Conference on Applied Linear Algebra, Valencia, Spain (2012)
  4. 13.
    Talk
    Breiten, T.; Benner, P.: 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)
  5. 14.
    Talk
    Breiten, T.; Benner, P.: Approximation of Multiparametric Functions from a Model Reduction Point of View. 27th GAMM Seminar on Approximation of Multiparametric Funtions, Leipzig, Germany (2011)
  6. 15.
    Talk
    Breiten, T.; Benner, P.: Structure-preserving model reduction for LPV systems based on rational interpolation. 7th International Congress on Industrial and Applied Mathematics, Vancouver, Canada (2011)
  7. 16.
    Talk
    Breiten, T.; Benner, P.: Solving Large-Scale Riccati Equations Arising in Stochastic Control. 17th ILAS Conference, Braunschweig, Germany (2011)
  8. 17.
    Talk
    Breiten, T.; Damm, T.: Krylov Subspace Methos for Model Order Reduction of Bilinear Control Systems. 81st GAMM Annual Scientific Conference, Karlsruhe, Germany (2010)

Thesis - PhD (1)

  1. 18.
    Thesis - PhD
    Breiten, T.: Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, 203 pp., Otto-von-Guericke Universität, Magdeburg (2013)
 
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