Head of the Group

Prof. Dr. Peter Benner
Prof. Dr. Peter Benner
Phone: +49 391 6110 450
Fax: +49 391 6110 453

Contact Person

Diana Noatsch-Liebke
Phone: +49 391 6110 450
Fax: +49 391 6110 526
Janine Holzmann
Phone: +49 391 6110 416
Fax: +49 391 6110 637

Group Page

Publications

Publications CSC group

Journal Article (7)

  1. 2012
    Benner, P.; Sima, V.; Voigt, M.: L-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils. IEEE Transactions on Automatic Control 57 (1), pp. 233 - 238 (2012)
  2. Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (2012)
  3. 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)
  4. Blank, L.; Sarbu, L.; Stoll, M.: Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231 (16), pp. 5406 - 5420 (2012)
  5. Pearson, J. W.; Stoll, M.; Wathen, A. J.: Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems. SIAM Journal on Matrix Analysis and Applications 33 (4), pp. 1126 - 1152 (2012)
  6. Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), pp. 2795 - 2806 (2012)
  7. Uddin, M. M.; Saak, J.; Kranz, B.; Benner, P.: Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation. Production Engineering 6 (6), pp. 577 - 586 (2012)

Book Chapter (6)

  1. Benner, P.; Schneider, A.: Some Remarks on A Priori Error Estimation for ESVDMOR. In: Scientific Computing in Electrical Engineering SCEE 2010, pp. 15 - 23 (Eds. Bastiaan, M.; Poirier, J.-R.). Springer, Berlin (2012)
  2. Benner, P.; Schneider, A.: Model Reduction for Linear Descriptor Systems with Many Ports. In: Progress in Industrial Mathematics at ECMI 2010, pp. 137 - 143 (Eds. Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M.). Springer, Berlin (2012)
  3. 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)
  4. Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: Accelerating Model Reduction of Large Linear Systems with Graphics Processors. In: Applied Parallel and Scientific Computing, pp. 88 - 97 (Ed. Jónasson, K.). Springer, Heidelberg (2012)
  5. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Accelerating BST Methods for Model Reduction with Graphics Processors. In: Parallel Processing and Applied Mathematics, pp. 549 - 558 (Eds. Wyrzykowski, R.; Dongarra, J.; Karczewski, K.; Waśniewski, J.). Springer, Heidelberg (2012)
  6. Bänsch, E.; Benner, P.: Stabilization of Incompressible Flow Problems by Riccati-Based Feedback. In: Constrained Optimization and Optimal Control for Partial Differential Equations, pp. 5 - 20 (Eds. Leugering, G.; Engell, S.; Griewank, A.; Hinze, M.; Rannacher, R. et al.). Birkhäuser, Basel (2012)

Conference Paper (18)

  1. Benner, P.; Hossain, M.-S.: Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC-PapersOnLine 45 (2), pp. 276 - 281 (2012)
  2. Benner, P.; Kürschner, P.; Saak, J.: Improved Second-Order Balanced Truncation for Symmetric Systems. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC-PapersOnLine 45 (2), pp. 758 - 762 (2012)
  3. Benner, P.; Sima, V.; Voigt, M.: Robust and Efficient Algorithms for L-Norm Computation for Descriptor Systems. In: 7th IFAC Symposium on Robust Control Design, pp. 195 - 200. 7th IFAC Symposium on Robust Control Design - ROCOND´12, Aalborg, Dänemark, June 20, 2012 - June 22, 2012. (2012)
  4. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms. In: 2012 IEEE 10th International Symposium on Parallel and Distributed Processing with Applications, ISPA 2012, pp. 662 - 668. 10th IEEE International Symposium on Parallel and Distributed Processing with Applications ISPA 2012, Madrid, Spain, July 10, 2012 - July 13, 2012. IEEE (2012)
  5. Benner, P.; Kressner, D.; Sima, V.: New SLICOT Routines Based on Structured Eigensolvers. In: 2012 IEEE International Conference on Control Applications (CCA 2012), pp. 640 - 645. IEEE International Conference on Control Applications 2012, Part of 2012 IEEE Multi-Conference on Systems and Control, Dubrovnik, Croatia, October 03, 2012 - October 05, 2012. (2012)
  6. Benner, P.; Voigt, M.: Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils. In: 2012 IEEE 51st Annual Conference on Decision and Control, pp. 6560 - 6565. 51st IEEE Conference on Decision and Control, Maui, Hawaii, USA, December 10, 2012 - December 13, 2012. (2012)
  7. Benner, P.; Saak, J.; Uddin, M. M.: Second Order to Second Order Balancing for Index-1 Vibrational Systems. In: 7th International Conference on Electrical and Computer Engineering (ICECE), pp. 933 - 936. 7th International Conference on Electrical and Computer Engineering, Dhaka, Bangladesh, December 20, 2012 - December 22, 2012. (2012)
  8. Benner, P.; Kürschner, P.; Saak, J.: Avoiding Complex Arithmetic in the Low-Rank ADI Method Efficiently. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 639 - 640 (2012)
  9. Benner, P.; Hess, M. W.: The Reduced Basis Method for Time-Harmonic Maxwell´s Equations. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 661 - 662 (2012)
  10. Benner, P.; Kranz, B.; Saak, J.; Uddin, M. M.: Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 699 - 700 (2012)
  11. Benner, P.; Voigt, M.: H-Norm Computation for Large and Sparse Descriptor Systems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 797 - 800 (2012)
  12. Grundel, S.: Discrete Gradient Flows on surfaces using subdivision. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 745 - 746 (2012)
  13. Hossain, M.-S.; Benner, P.: Iterative Solvers for Periodic Matrix Equations and Model Reduction for Periodic Control Systems. In: 7th International Conference on Electrical and Computer Engineering (ICECE), pp. 791 - 794. 7th International Conference on Electrical and Computer Engineering, Dhaka, Bangladesh, December 20, 2012 - December 22, 2012. (2012)
  14. Li, S.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Efficient Optimization of Simulated Moving Bed Processes Using Reduced Order Models. In: 22nd European Symposium on Computer Aided Process Engineering, pp. 1232 - 1236 (Eds. Bogle, D. L.; Fairweather, M.). ESCAPE 22 - 22nd European Symposium on Computer Aided Process Engineering, London, UK, June 17, 2012 - June 20, 2012. (2012)
  15. Mach, T.; Saak, J.: How Competitive is the ADI for Tensor Structured Equations? 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1 ), pp. 635 - 636 (2012)
  16. Pearson, J. W.; Stoll, M.; Wathen, A. J.: Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 3 - 6 (2012)
  17. Reis, T.; Voigt, M.: Linear-quadratic infinite time horizon optimal control for differential-algebraic equations - a new algebraic criterion. In: 20th International Symposium on Mathematical Theory of Networks and Systems, pp. 1 - 8. 20th International Symposium on Mathematical Theory of Networks and Systems, Melbourne, Australia, July 09, 2012 - July 13, 2012. (2012)
  18. Saak, J.; Benner, P.; Kürschner, P.: A Goal-Oriented Dual LRCF-ADI for Balanced Truncation. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC-PapersOnLine 45 (2), pp. 752 - 757 (2012)

Thesis - Dissertation (1)

  1. Mach, T.: Eigenvalue Algorithms for Symmetric Hierarchical Matrices. Dissertation, 175 pp., Technische Universität, Chemnitz (2012)

Issue (1)

  1. Benner, P.; Embree, M.; Kelley, C. T.; Lehoucq, R. B. (Eds.): Special Issue dedicated to Danny Sorensen's 65th birthday (Special issue). Linear Algebra and its Applications 436 (8) (2012)

Editorial (1)

  1. Benner, P.; Embree, M.; Lehoucq, R. B.; Kelley, C. T.: A Mathematical Biography of Danny C. Sorensen. Linear Algebra and its Applications 436 (8), pp. 2717 - 2724 (2012)
 
loading content