Publications of Peter Benner

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)

Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ_ℓ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (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)

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)

Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), pp. 2489 - 2518 (2011)

Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C.: Parameter Preserving Model Order Reduction for MEMS Applications. Mathematical and Computer Modelling of Dynamical Systems 17 (4), pp. 297 - 317 (2011)

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)

Benner, P.; Byers, R.; Losse, P.; Mehrmann, V.; Xu, H.: Robust Formulas for Optimal H_∞ Controllers. Automatica 47 (12), pp. 2639 - 2646 (2011)

Benner, P.; Damm, T.: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM Journal on Control and Optimization 49 (2), pp. 686 - 711 (2011)

Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU Platforms. Parallel Computing 37 (8), pp. 439 - 450 (2011)

Benner, P.; Faßbender, H.: On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations. Advances in Computational Mathematics 35 (2-4), pp. 119 - 147 (2011)

Benner, P.; Faßbender, H.; Stoll, M.: A Hamiltonian Krylov–Schur-type method based on the symplectic Lanczos process. Linear Algebra and its Applications 435 (3), pp. 578 - 600 (2011)

Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), pp. 123 - 143 (2011)

Benner, P.; Tomljanović, Z.; Truhar, N.: Dimension Reduction for Damping Optimization in Linear Vibrating Systems. Zeitschrift für angewandte Mathematik und Mechanik 91 (3), pp. 179 - 191 (2011)

Benner, P.; Effenberger, C.: A Rational SHIRA Method for the Hamiltonian Eigenvalue Problem. Taiwanese Journal of Mathematics 14 (3A), pp. 805 - 823 (2010)

Benner, P.; Kressner, D.; Sima, V.; Varga, A.: Die SLICOT-Toolboxen für Matlab (The SLICOT Toolboxes for Matlab). at - Automatisierungstechnik 58 (1), pp. 15 - 25 (2010)

Benner, P.; Mach, T.: On the QR Decomposition of H-Matrices. Computing 88 (3-4), pp. 111 - 129 (2010)

Barrachina, S.; Benner, P.; Quintana-Ortí, E. S.: Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method. International Journal of Computational Science and Engineering 4 (2), pp. 88 - 93 (2009)

Baur, U.; Benner, P.: Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation). at - Automatisierungstechnik 57 (8), pp. 411 - 419 (2009)

Benner, P.; Li, R.-C.; Truhar, N.: On the ADI Method for Sylvester Equations. Journal of Computational and Applied Mathematics 233 (4), pp. 1035 - 1045 (2009)