Publications of Peter Benner
All genres
Journal Article (314)
2012
Journal Article
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.
Journal Article
Benner, P. & Mach, T. (2012)Computing All or Some Eigenvalues of Symmetric ℋℓ-MatricesSIAM Journal on Scientific Computing, 34 (1), A485–A496doi: 10.1137/100815323.
Journal Article
Benner, P., , & Voigt, M. (2012)L∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix PencilsIEEE Transactions on Automatic Control, 57 (1), 233–238doi: 10.1109/TAC.2011.2161833.
Journal Article
Uddin, M. M., Saak, J., , & Benner, P. (2012)Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced TruncationProduction Engineering, 6 (6), 577–586doi: 10.1007/s11740-012-0410-x.
2011
Journal Article
, , Benner, P., & (2011)Interpolatory Projection Methods for Parameterized Model ReductionSIAM Journal on Scientific Computing, 33 (5), 2489–2518doi: 10.1137/090776925.
Journal Article
, Benner, P., , , , & (2011)Parameter Preserving Model Order Reduction for MEMS ApplicationsMathematical and Computer Modelling of Dynamical Systems, 17 (4), 297–317doi: 10.1080/13873954.2011.547658.
Journal Article
Benner, P., Breiten, 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.
Journal Article
Benner, P., , , , & (2011)Robust Formulas for Optimal H∞ ControllersAutomatica, 47 (12), 2639–2646doi: 10.1016/j.automatica.2011.09.013.
Journal Article
Benner, P. & (2011)Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic SystemsSIAM Journal on Control and Optimization, 49 (2), 686–711doi: 10.1137/09075041X.
Journal Article
Benner, P., , , , & (2011)A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU PlatformsParallel Computing, 37 (8), 439–450doi: 10.1016/j.parco.2010.12.002.
Journal Article
Benner, P. & (2011)On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati EquationsAdvances in Computational Mathematics, 35 (2-4), 119–147doi: 10.1007/s10444-011-9174-7.
Journal Article
Benner, P., , & (2011)A Hamiltonian Krylov–Schur-type method based on the symplectic Lanczos processLinear Algebra and its Applications, 435 (3), 578–600doi: 10.1016/j.laa.2010.04.048.
Journal Article
Benner, P. & Saak, J. (2011)Efficient Balancing-Based MOR for Large-Scale Second-Order SystemsMathematical and Computer Modelling of Dynamical Systems, 17 (2), 123–143doi: 10.1080/13873954.2010.540822.
Journal Article
Benner, P., , & (2011)Dimension Reduction for Damping Optimization in Linear Vibrating SystemsZeitschrift für angewandte Mathematik und Mechanik, 91 (3), 179–191doi: 10.1002/zamm.201000077.
2010
Journal Article
Benner, P. & (2010)A Rational SHIRA Method for the Hamiltonian Eigenvalue ProblemTaiwanese Journal of Mathematics, 14 (3A), 805–823.
Journal Article
Benner, P., , , & (2010)Die SLICOT-Toolboxen für Matlab (The SLICOT Toolboxes for Matlab)at - Automatisierungstechnik, 58 (1), 15–25doi: 10.1524/auto.2010.0814.
Journal Article
Benner, P. & (2010)On the QR Decomposition of H-MatricesComputing, 88 (3-4), 111–129doi: 10.1007/s00607-010-0087-y.
2009
Journal Article
, Benner, P., & (2009)Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function MethodInternational Journal of Computational Science and Engineering, 4 (2), 88–93doi: 10.1504/IJCSE.2009.027000.
Journal Article
& Benner, P. (2009)Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation)at - Automatisierungstechnik, 57 (8), 411–419doi: 10.1524/auto.2009.0787.
Journal Article
Benner, P., , & (2009)On the ADI Method for Sylvester EquationsJournal of Computational and Applied Mathematics, 233 (4), 1035–1045doi: 10.1016/j.cam.2009.08.108.