Publications of Peter Benner

Bonin, T.; Soppa, A.; Saak, J.; Zäh, M.; Faßbender, H.; Benner, P.: Moderne Modellordnungsreduktionsverfahren für Finite-Elemente-Modelle zur Simulation von Werkmaschinen. In: Fachtagung Mechatronik, pp. 333 - 338. Fachtagung Mechatronik, Dresden, Germany, March 31, 2011 - April 01, 2011. (2011)

Benner, P.; Breiten, T.; Damm, T.: Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete-Time Control Systems. 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Karlsruhe, March 22, 2010 - March 26, 2010. Proceedings in Applied Mathematics and Mechanics 10 (1), pp. 601 - 602 (2010)

Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Numerical Solution of Differential Riccati Equations on Hybrid CPU-GPU Platforms. In: Proceedings of ALAMA 2010, pp. 1 - 7. ALAMA 2010 - 2nd Meeting on Linear Algebra, Matrix, Analysis, and Applications, Valencia, Spanien, June 02, 2010 - June 04, 2010. (2010)

Benner, P.; Saak, J.: Suboptimality Estimates for the Semi-Discretized LQR Problem for Parabolic PDEs. 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Karslruhe, March 22, 2010 - March 26, 2010. Proceedings in Applied Mathematics and Mechanics 10 (1), pp. 591 - 592 (2010)

Benner, P.; Schneider, A.: Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs. In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, pp. 1971 - 1974 (Ed. Edelmayer, A.). 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, Budapest, Hungary, July 05, 2010 - July 09, 2010. (2010)

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)

Benner, P.: System-Theoretic Methods for Model Reduction of Large-Scale Systems: Simulation, Control, and Inverse Problems. In: Proceedings of MAthMod 2009, pp. 126 - 145. MathMod 2009 - Conference on Mathematical Modeling, Vienna, Autriche, February 11, 2009 - February 13, 2009. (2009)

Benner, P.; Bonin, T.; Faßbender, H.; Saak, J.; Soppa, A.; Zaeh, M.: Novel Model Reduction Techniques for Control of Machine Tools. In: Proceedings of the ANSYS Conference & 27. CADFEM Users' Meeting 2009, p. Paper 2.9.18. ANSYS Conference & 27. CADFEM Users' Meeting 2009, Leipzig, November 18, 2009 - November 20, 2009. (2009)

Benner, P.; Hein, S.: Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design. In: Proceedings in Applied Mathematics and Mechanics, Vol. 9, pp. 613 - 614. 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk, Poland, February 09, 2009 - February 13, 2009. (2009)

Benner, P.; Losse, P.: H∞ Control for Descriptor Systems - a Pencil Based Approach. In: Proceedings in Applied Mathematics and Mechanics, Vol. 9, pp. 645 - 646. 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk, Poland, February 09, 2009 - February 13, 2009. (2009)

Benner, P.; Mach, T.: Computing the Eigenvalues of Hierarchical Matrices by LR-Cholesky Transformations. In: Oberwolfach Reports - Report No. 37/2009, Vol. 6, pp. 2107 - 2109. Linear and Nonlinear Eigenproblems for PDEs, August 09, 2009 - August 15, 2009. (2009)

Benner, P.; Saak, J.: Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools. In: Proceedings of MathMod 2009, pp. 1232 - 1243. MathMod 2009 - 6th Vienna Conference on Mathematical Modeling, Vienna, Autriche, February 11, 2009 - February 13, 2009. (2009)

Feng, L.; Benner, P.; Korvink, J. G.: Parametric Model Order Reduction Accelerated by Subspace Recycling. In: Proceedings of 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, pp. 4328 - 4333. 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, China, December 16, 2009 - December 18, 2009. (2009)

Baur, U.; Benner, P.: Parametric Model Reduction with Sparse Grids. In: Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", pp. 262 - 271 (Ed. Lohmann, B.). Workshop GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Anif, Autriche, September 24, 2008 - September 26, 2008. (2008)

Baur, U.; Benner, P.: Efficient Solution of Algebraic Bernoulli Equations Using H-Matrix Arithmetic. ENUMATH 2007 - 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 10, 2007 - September 14, 2007. Numerical Mathematics and Advanced Applications Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, pp. 127 - 134 (2008)

Benner, P.; Feng, L.; Rudnyi, E. B.: Using the Superposition Property for Model Reduction of Linear Systems with a Large Number of Inputs. In: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), Virginia Tech, Blacksburg, Virginia, USA, July 28-August 1, 2008, pp. 1 - 12. 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), Blacksburg, Virginia, USA , July 28, 2008 - August 01, 2008. (2008)

Benner, P.; Losse, P.; Mehrmann, V.; Poppe, L.; Reis, T.: γ-Iteration for Descriptor Systems Using Structured Matrix Pencils. In: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), Virginia Tech, Blacksburg, Virginia, USA, July 28-August 1, 2008, pp. 1 - 11. 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), Blacksburg, Virginia, USA, July 28, 2008 - August 01, 2008. (2008)

Hossain, M.-S.; Benner, P.: Projection-Based Model Reduction for LTV Descriptor System Using Multipoint Krylov-Subspace Projectors. 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen, March 31, 2008 - April 04, 2008. Proceedings in Applied Mathematics and Mechanics 8 (1), pp. 10081 - 10084 (2008)

Saak, J.; Benner, P.: Efficient Solution of Large Scale Lyapunov and Riccati Equations Arising in Model Order Reduction Problems. 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen, March 31, 2008 - April 04, 2008. Proceedings in Applied Mathematics and Mechanics 8 (1), pp. 10085 - 10088 (2008)

Saak, J.; Benner, P.: Application of LQR Techniques to the Adaptive Control of Quasilinear Parabolic PDEs. Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich, Schweiz, July 16, 2007 - July 20, 2007. Proceedings in Applied Mathematics and Mechanics 7 (1), pp. 2060013 - 2060014 (2008)