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ORCIDPeter Benner
Person information
- affiliation: University of Magdeburg, Germany
- affiliation: Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany
- affiliation: TU Chemnitz, Germany
- affiliation (1997 - 2001): University of Bremen, Germany
- affiliation (PhD 1997): TU Chemnitz, Germany
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2020 – today
- 2025
[j173]Luisa Peterson
, Ion Victor Gosea, Peter Benner, Kai Sundmacher:
Digital twins in process engineering: An overview on computational and numerical methods. Comput. Chem. Eng. 193: 108917 (2025)- [j172]Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner:
Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation Using the Range-Separated Tensor Format. SIAM J. Sci. Comput. 47(1): 87- (2025) - [j171]Kang-Li Xu, Zhen Li, Peter Benner:
Parametric Interpolation Model Order Reduction on Grassmann Manifolds by Parallelization. IEEE Trans. Circuits Syst. II Express Briefs 72(1): 198-202 (2025) - 2024
- [j170]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. Adv. Comput. Math. 50(2): 18 (2024) - [j169]Pawan Goyal, Igor Pontes Duff, Peter Benner:
Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction. Adv. Comput. Math. 50(3): 42 (2024) - [j168]Jennifer Przybilla, Igor Pontes Duff, Peter Benner:
Semi-active damping optimization of vibrational systems using the reduced basis method. Adv. Comput. Math. 50(3): 56 (2024) - [j167]Peter Benner, Pawan Goyal:
Balanced truncation for quadratic-bilinear control systems. Adv. Comput. Math. 50(4): 88 (2024) - [j166]Lihong Feng, Sridhar Chellappa, Peter Benner:
A posteriori error estimation for model order reduction of parametric systems. Adv. Model. Simul. Eng. Sci. 11(1): 5 (2024) - [j165]Alexander Zuyev, Lihong Feng, Peter Benner:
Estimates of the Kolmogorov n-Width for Nonlinear Transformations With Application to Distributed-Parameter Control Systems. IEEE Control. Syst. Lett. 8: 1877-1882 (2024) - [j164]Yevgeniia Yevgenieva, Alexander L. Zuyev, Peter Benner, Andreas Seidel-Morgenstern:
Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. J. Optim. Theory Appl. 202(2): 582-604 (2024) - [j163]Jennifer Przybilla, Igor Pontes Duff, Peter Benner:
Model reduction for second-order systems with inhomogeneous initial conditions. Syst. Control. Lett. 183: 105671 (2024) - [j162]Peter Benner, Pawan Goyal, Paul Van Dooren:
Parameterized Interpolation of Passive Systems. SIAM J. Matrix Anal. Appl. 45(2): 1035-1053 (2024) - [j161]Pawan Goyal, Benjamin Peherstorfer, Peter Benner:
Rank-Minimizing and Structured Model Inference. SIAM J. Sci. Comput. 46(3): 1879- (2024) - [d29]Jennifer Przybilla, Igor Pontes Duff, Peter Benner:
Model reduction for systems in non-standard form. Zenodo, 2024
- [i100]Petar Mlinaric, Peter Benner, Serkan Gugercin:
Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems. CoRR abs/2401.10047 (2024) - [i99]B. Baran, Peter Benner, Jens Saak, Tony Stillfjord:
Numerical methods for closed-loop systems with non-autonomous data. CoRR abs/2402.13656 (2024) - [i98]Ion Victor Gosea, Luisa Peterson, Pawan Goyal, Jens Bremer, Kai Sundmacher, Peter Benner:
Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference. CoRR abs/2402.17698 (2024) - [i97]Igor Pontes Duff, Pawan Goyal, Peter Benner:
Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. CoRR abs/2403.00646 (2024) - [i96]Pavan L. Veluvali, Jan Heiland, Peter Benner:
MaRDIFlow: A CSE workflow framework for abstracting meta-data from FAIR computational experiments. CoRR abs/2405.00028 (2024) - [i95]Ali Forootani, Peter Benner:
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations. CoRR abs/2405.08613 (2024) - [i94]Mohammad Khorrami, Pawan Goyal, Jaber Rezaei Mianroodi, Bob Svendsen, Peter Benner, Dierk Raabe:
Divergence-free neural operators for stress field modeling in polycrystalline materials. CoRR abs/2408.15408 (2024) - [i93]Celine Reddig, Pawan Goyal, Igor Pontes Duff, Peter Benner:
Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction. CoRR abs/2409.03892 (2024) - [i92]Süleyman Yildiz, Pawan Goyal, Peter Benner:
Structure-preserving learning for multi-symplectic PDEs. CoRR abs/2409.10432 (2024) - [i91]Shuwen Sun, Lihong Feng, Peter Benner:
Data-Augmented Predictive Deep Neural Network: Enhancing the extrapolation capabilities of non-intrusive surrogate models. CoRR abs/2410.13376 (2024) - [i90]Sridhar Chellappa, Lihong Feng, Peter Benner:
Discrete empirical interpolation in the tensor t-product framework. CoRR abs/2410.14519 (2024) - 2023
- [j160]Kirandeep Kour, Sergey Dolgov, Martin Stoll, Peter Benner:
Efficient Structure-preserving Support Tensor Train Machine. J. Mach. Learn. Res. 24: 4:1-4:22 (2023) - [j159]Peter Benner, Davide Palitta, Jens Saak:
On an integrated Krylov-ADI solver for large-scale Lyapunov equations. Numer. Algorithms 92(1): 35-63 (2023) - [j158]Peter Benner, Jan Heiland, Steffen W. R. Werner:
A low-rank solution method for Riccati equations with indefinite quadratic terms. Numer. Algorithms 92(2): 1083-1103 (2023) - [j157]Vipin Kumar, Jan Heiland, Peter Benner:
Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch: a unified theory. Neural Comput. Appl. 35(32): 23649-23665 (2023) - [j156]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
A unifying framework for tangential interpolation of structured bilinear control systems. Numerische Mathematik 155(3-4): 445-483 (2023) - [j155]Vipin Kumar, Jan Heiland, Peter Benner:
Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales. Neural Process. Lett. 55(7): 9907-9929 (2023) - [j154]Peter Benner, Yuji Nakatsukasa, Carolin Penke:
A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. SIAM J. Matrix Anal. Appl. 44(3): 1245-1270 (2023) - [c71]Pavan L. Veluvali, Jan Heiland, Peter Benner:
MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments. CoRDI 2023 - [c70]Peter Benner, Sergey Chuiko, Viktor Chuiko:
Adomian Decomposition Method in The Theory of Nonlinear Periodic Boundary Value Problems with Delay. DSMSI (1) 2023: 98-106 - [c69]Shaimaa Monem Abdelhafez, Peter Benner, Christian Lessig:
Improved Projective Dynamics Global Using Snapshots-based Reduced Bases. SIGGRAPH Posters 2023: 4:1-4:2 - [d28]Peter Benner, Jens Saak, Steffen W. R. Werner:
MORLAB - Model Order Reduction LABoratory. Version 6.0. Zenodo, 2023 [all versions] - [d27]Kathryn Lund, Jens Saak, Peter Benner:
mini-MORB (Model Order Reduction Benchmarker). Zenodo, 2023 - [d26]Jens Saak, Martin Köhler, Peter Benner:
M-M.E.S.S. - The Matrix Equation Sparse Solver Library. Version 3.0. Zenodo, 2023 [all versions] - [i89]Lihong Feng, Luigi Lombardi, Giulio Antonini, Peter Benner:
Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems. CoRR abs/2301.05610 (2023) - [i88]Pawan Goyal, Igor Pontes Duff, Peter Benner:
Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction. CoRR abs/2301.09484 (2023) - [i87]Pawan Goyal, Igor Pontes Duff, Peter Benner:
Inference of Continuous Linear Systems from Data with Guaranteed Stability. CoRR abs/2301.10060 (2023) - [i86]Kirandeep Kour, Sergey Dolgov, Peter Benner, Martin Stoll, Max Pfeffer:
A weighted subspace exponential kernel for support tensor machines. CoRR abs/2302.08134 (2023) - [i85]Pawan Goyal, Benjamin Peherstorfer, Peter Benner:
Rank-Minimizing and Structured Model Inference. CoRR abs/2302.09521 (2023) - [i84]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. CoRR abs/2304.14292 (2023) - [i83]Shuwen Sun, Lihong Feng, Hoon Seng Chan, Tamara Milicic, Tanja Vidakovic-Koch, Peter Benner:
Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems. CoRR abs/2305.06197 (2023) - [i82]Jingjing Zhang, Jan Heiland, Peter Benner, Xin Du:
Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. CoRR abs/2306.01120 (2023) - [i81]Harshit Kapadia, Lihong Feng, Peter Benner:
Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. CoRR abs/2306.06174 (2023) - [i80]Peter Benner, Kathryn Lund, Jens Saak:
Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI). CoRR abs/2307.00137 (2023) - [i79]Sridhar Chellappa, Lihong Feng, Peter Benner:
Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure. CoRR abs/2307.11138 (2023) - [i78]Süleyman Yildiz, Pawan Goyal, Thomas Bendokat, Peter Benner:
Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. CoRR abs/2308.01084 (2023) - [i77]Süleyman Yildiz, Pawan Goyal, Peter Benner:
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. CoRR abs/2308.02625 (2023) - [i76]Peter Benner, Pawan Goyal, Paul Van Dooren:
Parameterized Interpolation of Passive Systems. CoRR abs/2308.03500 (2023) - [i75]Pawan Goyal, Igor Pontes Duff, Peter Benner:
Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. CoRR abs/2308.13819 (2023) - [i74]Pawan Goyal, Süleyman Yildiz, Peter Benner:
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. CoRR abs/2308.13835 (2023) - [i73]Ali Forootani, Pawan Goyal, Peter Benner:
A Robust SINDy Approach by Combining Neural Networks and an Integral Form. CoRR abs/2309.07193 (2023) - [i72]Petar Mlinaric, Peter Benner, Serkan Gugercin:
Interpolatory H2-optimality Conditions for Structured Linear Time-invariant Systems. CoRR abs/2310.10618 (2023) - [i71]Sridhar Chellappa, Baris Cansiz, Lihong Feng, Peter Benner, Michael Kaliske:
Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology. CoRR abs/2311.06164 (2023) - 2022
- [j153]Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng, Peter Benner:
Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds. Adv. Model. Simul. Eng. Sci. 9(1): 23 (2022) - [j152]Julia Vettermann, Alexander Steinert, Christian Brecher, Peter Benner, Jens Saak:
Compact thermo-mechanical models for the fast simulation of machine tools with nonlinear component behavior. Autom. 70(8): 692-704 (2022) - [j151]Peter Benner, Jan Heiland, Steffen W. R. Werner:
Robust output-feedback stabilization for incompressible flows using low-dimensional ℋ∞ -controllers. Comput. Optim. Appl. 82(1): 225-249 (2022) - [j150]Jan Heiland, Peter Benner, Rezvan Bahmani:
Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations. Frontiers Appl. Math. Stat. 8: 879140 (2022) - [j149]Peter Benner, Carolin Penke:
Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems. J. Comput. Appl. Math. 400: 113650 (2022) - [j148]Peter Benner, Xin Liang:
Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues. Numer. Linear Algebra Appl. 29(6) (2022) - [j147]Peter Benner, Yuji Nakatsukasa, Carolin Penke:
Stable and Efficient Computation of Generalized Polar Decompositions. SIAM J. Matrix Anal. Appl. 43(3): 1058-1083 (2022) - [j146]Hussam Al Daas, Grey Ballard, Peter Benner:
Parallel Algorithms for Tensor Train Arithmetic. SIAM J. Sci. Comput. 44(1): 25- (2022) - [j145]Peter Benner, Pawan Goyal, Igor Pontes Duff:
Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs. IEEE Trans. Autom. Control. 67(2): 886-893 (2022) - [j144]Lihong Feng, Luigi Lombardi, Peter Benner, Daniele Romano, Giulio Antonini:
Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability. IEEE Trans. Circuits Syst. I Regul. Pap. 69(10): 4177-4190 (2022) - [d25]Jan Heiland, Pawan Goyal, Igor Pontes Duff, Peter Benner:
Operator Inference for Quadratic Manifold Encodings. Zenodo, 2022 - [d24]Jens Saak, Martin Köhler, Peter Benner:
M-M.E.S.S. - The Matrix Equation Sparse Solver Library. Version 2.2. Zenodo, 2022 [all versions] - [i70]Peter Benner, Heike Faßbender, Michel-Niklas Senn:
The Hamiltonian Extended Krylov Subspace Method. CoRR abs/2202.12640 (2022) - [i69]Peter Benner, Yuji Nakatsukasa, Carolin Penke:
A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. CoRR abs/2203.08900 (2022) - [i68]Peter Benner, Davide Palitta, Jens Saak:
Krylov techniques for low-rank ADI. CoRR abs/2203.17174 (2022) - [i67]Pawan Goyal, Peter Benner:
Neural ODEs with Irregular and Noisy Data. CoRR abs/2205.09479 (2022) - [i66]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
A unifying framework for tangential interpolation of structured bilinear control systems. CoRR abs/2206.01657 (2022) - [i65]Björn Baran, Peter Benner, Jens Saak:
Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. CoRR abs/2209.05476 (2022) - [i64]Pawan Goyal, Peter Benner:
Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. CoRR abs/2211.00357 (2022) - 2021
- [j143]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structure-preserving interpolation of bilinear control systems. Adv. Comput. Math. 47(3): 43 (2021) - [j142]Maximilian Behr, Peter Benner, Jan Heiland:
Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. Appl. Math. Comput. 410: 126401 (2021) - [j141]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structure-preserving interpolation for model reduction of parametric bilinear systems. Autom. 132: 109799 (2021) - [j140]Xingang Cao, Peter Benner, Igor Pontes Duff, Wil H. A. Schilders:
Model order reduction for bilinear control systems with inhomogeneous initial conditions. Int. J. Control 94(10): 2886-2895 (2021) - [j139]Peter Benner, Enrique S. Quintana-Ortí, Jens Saak:
Introduction to the Special Issue related to the Power-Aware Computing Workshop 2019 - PACO 2019. Int. J. High Perform. Comput. Appl. 35(3) (2021) - [j138]Mian Muhammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng, Tatjana Stykel:
Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. J. Frankl. Inst. 358(3): 2015-2038 (2021) - [j137]Sridhar Chellappa, Lihong Feng, Peter Benner:
A Training Set Subsampling Strategy for the Reduced Basis Method. J. Sci. Comput. 89(3): 63 (2021) - [j136]Peter Benner, Heike Faßbender, Philip Saltenberger:
A Rational Even-IRA Algorithm for the Solution of T-Even Polynomial Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 42(3): 1172-1198 (2021) - [j135]Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Cleophas Kweyu, Matthias Stein:
Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM J. Sci. Comput. 43(1): A415-A445 (2021) - [j134]Peter Benner, Pawan Goyal:
Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM J. Sci. Comput. 43(1): A84-A108 (2021) - [j133]Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Rodrigo Gallardo, Enrique S. Quintana-Ortí:
Factorized solution of generalized stable Sylvester equations using many-core GPU accelerators. J. Supercomput. 77(9): 10152-10164 (2021) - [d23]Peter Benner, Steffen W. R. Werner:
SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm. Version 2.0. Zenodo, 2021 [all versions] - [d22]Peter Benner, Steffen W. R. Werner:
SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems. Version 3.0. Zenodo, 2021 [all versions] - [d21]Jens Saak, Martin Köhler, Peter Benner:
M-M.E.S.S. - The Matrix Equation Sparse Solver Library. Version 2.1. Zenodo, 2021 [all versions] - [i63]Cleophas Kweyu, Lihong Feng, Matthias Stein, Peter Benner:
Reduced basis method for the nonlinear Poisson-Boltzmann equation regularized by the range-separated canonical tensor format. CoRR abs/2103.00245 (2021) - [i62]Pawan Goyal, Peter Benner:
LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. CoRR abs/2103.02249 (2021) - [i61]Sridhar Chellappa, Lihong Feng, Peter Benner:
A Training Set Subsampling Strategy for the Reduced Basis Method. CoRR abs/2103.06185 (2021) - [i60]Peter Benner, Yuji Nakatsukasa, Carolin Penke:
Stable and Efficient Computation of Generalized Polar Decompositions. CoRR abs/2104.06659 (2021) - [i59]Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, Peter Benner:
Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics. CoRR abs/2104.12802 (2021) - [i58]Neeraj Sarna, Peter Benner:
Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. CoRR abs/2105.00547 (2021) - [i57]Pawan Goyal, Peter Benner:
Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. CoRR abs/2105.04869 (2021) - [i56]Karim Cherifi, Pawan Goyal, Peter Benner:
A Greedy Data Collection Scheme For Linear Dynamical Systems. CoRR abs/2107.12950 (2021) - [i55]Christian Himpe, Sara Grundel, Peter Benner:
Next-Gen Gas Network Simulation. CoRR abs/2108.02651 (2021) - [i54]Neeraj Sarna, Peter Benner:
Learning reduced order models from data for hyperbolic PDEs. CoRR abs/2109.06156 (2021) - [i53]Pawan Goyal, Peter Benner:
Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. CoRR abs/2109.11446 (2021) - [i52]Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner:
Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format. CoRR abs/2109.14073 (2021) - [i51]Peter Benner, Bruno Iannazzo, Beatrice Meini, Davide Palitta:
Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations. CoRR abs/2110.03254 (2021) - [i50]Valentin de la Rubia, Sridhar Chellappa, Lihong Feng, Peter Benner:
Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method. CoRR abs/2110.05925 (2021) - [i49]Peter Benner, Jan Heiland, Steffen W. R. Werner:
A low-rank solution method for Riccati equations with indefinite quadratic terms. CoRR abs/2111.06516 (2021) - [i48]Pawan Goyal, Peter Benner:
Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. CoRR abs/2111.12995 (2021) - 2020
- [j132]Peter Benner, Steffen W. R. Werner:
Hankel-norm approximation of large-scale descriptor systems. Adv. Comput. Math. 46(3): 40 (2020) - [j131]Peter Benner, Xin Du, Guang-Hong Yang, Dan Ye:
Balanced truncation of linear time-invariant systems over finite-frequency ranges. Adv. Comput. Math. 46(6): 82 (2020) - [j130]Yue Qiu, Sara Grundel, Martin Stoll, Peter Benner:
Efficient numerical methods for gas network modeling and simulation. Networks Heterog. Media 15(4): 653-679 (2020) - [j129]Carolin Penke, Andreas Marek, Christian Vorwerk, Claudia Draxl, Peter Benner:
High performance solution of skew-symmetric eigenvalue problems with applications in solving the Bethe-Salpeter eigenvalue problem. Parallel Comput. 96: 102639 (2020) - [j128]Peter Benner, Pawan Goyal, Paul Van Dooren:
Identification of port-Hamiltonian systems from frequency response data. Syst. Control. Lett. 143: 104741 (2020) - [j127]Nicat Aliyev, Peter Benner, Emre Mengi, Matthias Voigt:
A Subspace Framework for H∞-Norm Minimization. SIAM J. Matrix Anal. Appl. 41(2): 928-956 (2020) - [j126]Peter Benner, Zvonimir Bujanovic, Patrick Kürschner, Jens Saak:
A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM J. Sci. Comput. 42(2): A957-A996 (2020) - [j125]Igor Pontes Duff, Sara Grundel, Peter Benner:
New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction. IEEE Trans. Autom. Control. 65(6): 2526-2535 (2020) - [c68]Peter Benner, Jan Heiland:
Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough. ECC 2020: 402-407 - [c67]Chayan Bhawal, Jan Heiland, Peter Benner:
PD controllers to solve single-input, index-1 DAE based LQR problems. ECC 2020: 1795-1800 - [c66]Peter Benner, Steffen W. R. Werner:
MORLAB - A Model Order Reduction Framework in MATLAB and Octave. ICMS 2020: 432-441 - [d20]Peter Benner, Steffen W. R. Werner:
SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm. Version 1.1. Zenodo, 2020 [all versions] - [d19]Peter Benner, Steffen W. R. Werner:
Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems. Version 2.0. Zenodo, 2020 [all versions] - [d18]Jens Saak, Martin Köhler, Peter Benner:
M-M.E.S.S. - The Matrix Equation Sparse Solver Library. Version 2.0.1. Zenodo, 2020 [all versions] - [d17]Jens Saak, Patrick Kürschner, Zvonimir Bujanovic, Peter Benner:
Collected MATLAB solvers for large-scale AREs. Zenodo, 2020 - [i47]Peter Benner, Steffen W. R. Werner:
Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. CoRR abs/2001.06185 (2020) - [i46]Kirandeep Kour, Sergey Dolgov, Martin Stoll, Peter Benner:
Efficient Structure-preserving Support Tensor Train Machine. CoRR abs/2002.05079 (2020) - [i45]Peter Benner, Pawan Goyal, Boris Kramer, Benjamin Peherstorfer, Karen Willcox:
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. CoRR abs/2002.09726 (2020) - [i44]Nicodemus Banagaaya, Giuseppe Alì, Sara Grundel, Peter Benner:
Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. CoRR abs/2002.09751 (2020) - [i43]Peter Benner, Steffen W. R. Werner:
MORLAB - The Model Order Reduction LABoratory. CoRR abs/2002.12682 (2020) - [i42]Peter Benner, Martin Köhler, Jens Saak:
Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model. CoRR abs/2003.02088 (2020) - [i41]Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, Peter Benner:
Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain. CoRR abs/2003.02569 (2020) - [i40]Peter Benner, Davide Palitta:
On the Solution of the Nonsymmetric T-Riccati Equation. CoRR abs/2003.03693 (2020) - [i39]Pawan Goyal, Hussam Al Daas, Peter Benner:
Low-Rank and Total Variation Regularization and Its Application to Image Recovery. CoRR abs/2003.05698 (2020) - [i38]Peter Benner, Sara Grundel, Petar Mlinaric:
Clustering-Based Model Order Reduction for Nonlinear Network Systems. CoRR abs/2003.06952 (2020) - [i37]Lihong Feng, Peter Benner:
On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems. CoRR abs/2003.14319 (2020) - [i36]Peter Benner, Xin Liang:
Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues. CoRR abs/2004.14002 (2020) - [i35]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structure-Preserving Interpolation of Bilinear Control Systems. CoRR abs/2005.00795 (2020) - [i34]Karim Cherifi, Pawan Goyal, Peter Benner:
A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. CoRR abs/2005.09371 (2020) - [i33]Peter Benner, Tony Stillfjord, Christoph Trautwein:
A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation. CoRR abs/2006.05370 (2020) - [i32]Peter Benner, Carolin Penke:
GR decompositions and their relations to Cholesky-like factorizations. CoRR abs/2006.06558 (2020) - [i31]Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. CoRR abs/2007.11269 (2020) - [i30]Süleyman Yildiz, Pawan Goyal, Peter Benner, Bülent Karasözen:
Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation. CoRR abs/2007.14079 (2020) - [i29]Peter Benner, Carolin Penke:
Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems. CoRR abs/2008.08825 (2020) - [i28]Roman Weinhandl, Peter Benner, Thomas Richter:
A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity. CoRR abs/2008.10275 (2020) - [i27]Peter Benner, Jan Heiland:
Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. CoRR abs/2009.01055 (2020) - [i26]Peter Benner, Heike Faßbender, Philip Saltenberger:
A rational Even-IRA algorithm for the solution of T-even polynomial eigenvalue problems. CoRR abs/2009.01762 (2020) - [i25]Neeraj Sarna, Jan Giesselmann, Peter Benner:
Data-Driven Snapshot Calibration via Monotonic Feature Matching. CoRR abs/2009.08414 (2020) - [i24]Anke Stoll, Peter Benner:
Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. CoRR abs/2010.06010 (2020) - [i23]Rebekka S. Beddig, Peter Benner, Ines Dorschky, Timo Reis, Paul Schwerdtner, Matthias Voigt, Steffen W. R. Werner:
Structure-Preserving Model Reduction for Dissipative Mechanical Systems. CoRR abs/2010.06331 (2020) - [i22]Peter Benner, Pawan Goyal, Jan Heiland, Igor Pontes Duff:
Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. CoRR abs/2010.06701 (2020) - [i21]Hussam Al Daas, Grey Ballard, Peter Benner:
Parallel Algorithms for Tensor Train Arithmetic. CoRR abs/2011.06532 (2020) - [i20]Christian Himpe, Sara Grundel, Peter Benner:
Model Order Reduction for Gas and Energy Networks. CoRR abs/2011.12099 (2020)
2010 – 2019
- 2019
- [j124]Peter Benner, Xingang Cao, Wil H. A. Schilders:
A bilinear ℋ2 model order reduction approach to linear parameter-varying systems. Adv. Comput. Math. 45(5): 2241-2271 (2019) - [j123]Peter Benner, Christian Himpe:
Cross-Gramian-based dominant subspaces. Adv. Comput. Math. 45(5): 2533-2553 (2019) - [j122]Yao Yue, Lihong Feng, Peter Benner:
Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates. Adv. Model. Simul. Eng. Sci. 6(1): 10:1-10:33 (2019) - [j121]Peter Benner, Akwum Onwunta, Martin Stoll:
A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Comput. Methods Appl. Math. 19(1): 5-22 (2019) - [j120]Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Alfredo Remón, Jens Saak:
A GPU-aware mixed-precision solver for low-rank algebraic Riccati equations. Concurr. Comput. Pract. Exp. 31(6) (2019) - [j119]Igor Pontes Duff, Pawan Goyal, Peter Benner:
Balanced Truncation for a Special Class of Bilinear Descriptor Systems. IEEE Control. Syst. Lett. 3(3): 535-540 (2019) - [j118]Mian Ilyas Ahmad, Peter Benner, Lihong Feng:
A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems. Int. J. Comput. Math. 96(10): 1899-1909 (2019) - [j117]Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Chao Yang:
Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. J. Comput. Phys. 382: 221-239 (2019) - [j116]Peter Benner, Tim Mitchell:
Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. SIAM J. Matrix Anal. Appl. 40(4): 1325-1352 (2019) - [c65]Peter Benner, Thomas Richter, Roman Weinhandl:
A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems. ENUMATH 2019: 1157-1165 - [c64]Ion Victor Gosea, Igor Pontes Duff, Peter Benner, Athanasios C. Antoulas:
Model order reduction of bilinear time-delay systems. ECC 2019: 2289-2294 - [d16]Maximilian Behr, Peter Benner, Jan Heiland:
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Version 1.0. Zenodo, 2019 [all versions] - [d15]Maximilian Behr, Peter Benner, Jan Heiland:
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Version 1.0. Zenodo, 2019 [all versions] - [d14]Maximilian Behr, Peter Benner, Jan Heiland:
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Version 1.0. Zenodo, 2019 [all versions] - [d13]Maximilian Behr, Peter Benner, Jan Heiland:
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Version 1.3. Zenodo, 2019 [all versions] - [d12]Maximilian Behr, Peter Benner, Jan Heiland:
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Version 1.3.1. Zenodo, 2019 [all versions] - [d11]Peter Benner, Steffen W. R. Werner:
SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm. Version 1.0. Zenodo, 2019 [all versions] - [d10]Peter Benner, Steffen W. R. Werner:
Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems. Version 1.0. Zenodo, 2019 [all versions] - [d9]Peter Benner, Steffen W. R. Werner:
MORLAB - Model Order Reduction LABoratory. Version 5.0. Zenodo, 2019 [all versions] - [d8]Jens Saak, Martin Köhler, Peter Benner:
M-M.E.S.S. - The Matrix Equation Sparse Solver Library. Version 2.0. Zenodo, 2019 [all versions] - [i19]Yao Yue, Lihong Feng, Peter Benner:
An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. CoRR abs/1908.00820 (2019) - [i18]Peter Benner, Pawan Goyal, Igor Pontes Duff:
Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. CoRR abs/1909.04597 (2019) - [i17]Sridhar Chellappa, Lihong Feng, Peter Benner:
An Adaptive Sampling Approach for the Reduced Basis Method. CoRR abs/1910.00298 (2019) - [i16]Igor Pontes Duff, Pawan Goyal, Peter Benner:
Data-Driven Identification of Rayleigh-Damped Second-Order Systems. CoRR abs/1910.00838 (2019) - [i15]Maximilian Behr, Peter Benner, Jan Heiland:
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. CoRR abs/1910.13362 (2019) - [i14]Peter Benner, Pawan Goyal, Igor Pontes Duff:
Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. CoRR abs/1910.13945 (2019) - [i13]Peter Benner, Pawan Goyal, Paul Van Dooren:
Identification of Port-Hamiltonian Systems from Frequency Response Data. CoRR abs/1911.00080 (2019) - [i12]Sridhar Chellappa, Lihong Feng, Peter Benner:
Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems. CoRR abs/1911.05235 (2019) - [i11]Mian Muhammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng, Tatjana Stykel:
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. CoRR abs/1911.05400 (2019) - [i10]Peter Benner, Thomas Richter, Roman Weinhandl:
A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems. CoRR abs/1911.08193 (2019) - [i9]Peter Benner, Claudia Draxl, Andreas Marek, Carolin Penke, Christian Vorwerk:
High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem. CoRR abs/1912.04062 (2019) - 2018
- [j115]Peter Benner, Heike Faßbender, Michael Hinze, Tatjana Stykel, Ralf Zimmermann:
Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. Adv. Comput. Math. 44(6): 1687-1691 (2018) - [j114]Peter Benner, Christian Himpe, Tim Mitchell:
On reduced input-output dynamic mode decomposition. Adv. Comput. Math. 44(6): 1751-1768 (2018) - [j113]Nicodemus Banagaaya, Peter Benner, Lihong Feng, Peter Meuris, Wim Schoenmaker:
An index-aware parametric model order reduction method for parameterized quadratic differential-algebraic equations. Appl. Math. Comput. 319: 409-424 (2018) - [j112]Peter Benner, Hermann Mena:
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. J. Num. Math. 26(1): 1-20 (2018) - [j111]Peter Benner, Yue Qiu, Martin Stoll:
Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. SIAM/ASA J. Uncertain. Quantification 6(2): 965-989 (2018) - [j110]Hidde-Jan Jongsma, Petar Mlinaric, Sara Grundel, Peter Benner, Harry L. Trentelman:
Model reduction of linear multi-agent systems by clustering with ℋ2⃗ and ℋ∞⃗ error bounds. Math. Control. Signals Syst. 30(1): 6:1-6:38 (2018) - [j109]Peter Benner, Heike Faßbender, Lars Grasedyck, Daniel Kressner, Beatrice Meini, Valeria Simoncini:
7th Workshop on Matrix Equations and Tensor Techniques. Numer. Linear Algebra Appl. 25(6) (2018) - [j108]Peter Benner, Zvonimir Bujanovic, Patrick Kürschner, Jens Saak:
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Numerische Mathematik 138(2): 301-330 (2018) - [j107]Peter Benner, Pawan Goyal, Serkan Gugercin:
H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. SIAM J. Matrix Anal. Appl. 39(2): 983-1032 (2018) - [j106]Peter Benner, Venera Khoromskaia, Boris N. Khoromskij:
Range-Separated Tensor Format for Many-Particle Modeling. SIAM J. Sci. Comput. 40(2) (2018) - [j105]Manuel Baumann, Peter Benner, Jan Heiland:
Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations. SIAM J. Sci. Comput. 40(3) (2018) - [j104]Peter Benner, Tim Mitchell:
Faster and More Accurate Computation of the ℋ∞ Norm via Optimization. SIAM J. Sci. Comput. 40(5): A3609-A3635 (2018) - [c63]Peter Benner, Tim Mitchell, Michael L. Overton:
Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. CDC 2018: 3000-3005 - [c62]Petar Mlinaric, Takayuki Ishizaki, Aranya Chakrabortty, Sara Grundel, Peter Benner, Jun-ichi Imura:
Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. ECC 2018: 2266-2271 - [c61]Vasile Sima, Peter Benner:
Numerical Investigation of Newton's Method for Solving Discrete-time Algebraic Riccati Equations. ICINCO (1) 2018: 76-85 - [c60]Vasile Sima, Peter Benner:
Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations. ICINCO (Selected Papers) 2018: 142-167 - [d7]Maximilian Behr, Jan Heiland, Peter Benner:
Solution Formulas for Differential Sylvester and Lyapunov Equation. Version 1.0. Zenodo, 2018 [all versions] - [d6]Maximilian Behr, Jan Heiland, Peter Benner:
Solution Formulas for Differential Sylvester and Lyapunov Equations. Version 1.1. Zenodo, 2018 [all versions] - [d5]Peter Benner, Martin Köhler, Jens Saak:
C-M.E.S.S.-1.0.0 - The Matrix Equation Sparse Solver Library (C Version). Zenodo, 2018 - [d4]Peter Benner, Steffen W. R. Werner:
MORLAB - Model Order Reduction LABoratory. Version 4.0. Zenodo, 2018 [all versions] - [i8]Petar Mlinaric, Takayuki Ishizaki, Aranya Chakrabortty, Sara Grundel, Peter Benner, Jun-ichi Imura:
Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. CoRR abs/1803.00439 (2018) - [i7]Igor Pontes Duff, Sara Grundel, Peter Benner:
New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. CoRR abs/1806.00406 (2018) - [i6]Peter Benner, Christian Himpe:
Cross-Gramian-Based Dominant Subspaces. CoRR abs/1809.08066 (2018) - 2017
- [j103]Yongjin Zhang, Lihong Feng, Andreas Seidel-Morgenstern, Peter Benner:
Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models. Comput. Chem. Eng. 96: 237-247 (2017) - [j102]Jens Bremer, Pawan Goyal, Lihong Feng, Peter Benner, Kai Sundmacher:
POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model. Comput. Chem. Eng. 106: 777-784 (2017) - [j101]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Extending the Gauss-Huard method for the solution of Lyapunov matrix equations and matrix inversion. Concurr. Comput. Pract. Exp. 29(9) (2017) - [j100]Tobias Damm, Peter Benner, Jan Hauth:
Computing the Stochastic H∞-Norm by a Netwon Iteration. IEEE Control. Syst. Lett. 1(1): 92-97 (2017) - [j99]Mian Ilyas Ahmad, Peter Benner, Pawan Goyal:
Krylov subspace-based model reduction for a class of bilinear descriptor systems. J. Comput. Appl. Math. 315: 303-318 (2017) - [j98]Mian Ilyas Ahmad, Ulrike Baur, Peter Benner:
Implicit Volterra series interpolation for model reduction of bilinear systems. J. Comput. Appl. Math. 316: 15-28 (2017) - [j97]Peter Benner, Sergey Dolgov, Venera Khoromskaia, Boris N. Khoromskij:
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. J. Comput. Phys. 334: 221-239 (2017) - [j96]Peter Benner, Mohammad-Sahadet Hossain:
Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Numer. Algorithms 76(4): 881-904 (2017) - [j95]Martin Redmann, Peter Benner:
An H2-type error bound for balancing-related model order reduction of linear systems with Lévy noise. Syst. Control. Lett. 105: 1-5 (2017) - [j94]Nicat Aliyev, Peter Benner, Emre Mengi, Paul Schwerdtner, Matthias Voigt:
Large-Scale Computation of ℒ∞-Norms by a Greedy Subspace Method. SIAM J. Matrix Anal. Appl. 38(4): 1496-1516 (2017) - [j93]Peter Benner, Hamdullah Yücel:
Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems. SIAM J. Numer. Anal. 55(2): 1101-1133 (2017) - [j92]Peter Benner, Tobias Damm, Yolanda R. Rodriguez Cruz:
Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems. IEEE Trans. Autom. Control. 62(2): 782-791 (2017) - [c59]Peter Benner, Jan Heiland:
Nonlinear feedback stabilization of incompressible flows via updated Riccati-based gains. CDC 2017: 1163-1168 - [c58]Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, Alfredo Remón:
Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms. ICCSA (1) 2017: 116-132 - [c57]Peter Benner, Martin Köhler, Carolin Penke:
GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition. PARCO 2017: 329-338 - [d3]Peter Benner, Steffen W. R. Werner:
MORLAB - Model Order Reduction LABoratory. Version 3.0. Zenodo, 2017 [all versions] - [i5]Maximilian Behr, Peter Benner, Jan Heiland:
Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. CoRR abs/1707.08711 (2017) - [i4]Peter Benner, Christian Himpe, Tim Mitchell:
On Reduced Input-Output Dynamic Mode Decomposition. CoRR abs/1712.08447 (2017) - 2016
- [j91]Juan Pablo Silva, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón, Peter Benner:
Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU platforms. CLEI Electron. J. 19(1): 2 (2016) - [j90]Peter Benner, Patrick Kürschner, Jens Saak:
Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. J. Frankl. Inst. 353(5): 1147-1167 (2016) - [j89]Andreas Naumann, Norman Lang, Marian Partzsch, Michael Beitelschmidt, Peter Benner, Axel Voigt, Jörg Wensch:
Computation of thermo-elastic deformations on machine tools a study of numerical methods. Prod. Eng. 10(3): 253-263 (2016) - [j88]Peter Benner, Pawan Goyal:
Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems. Syst. Control. Lett. 97: 1-11 (2016) - [j87]Peter Benner, Akwum Onwunta, Martin Stoll:
Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM J. Matrix Anal. Appl. 37(2): 491-518 (2016) - [j86]Peter Benner, Patrick Kürschner, Jens Saak:
Frequency-Limited Balanced Truncation with Low-Rank Approximations. SIAM J. Sci. Comput. 38(1) (2016) - [j85]Peter Benner, Vasile Sima, Matthias Voigt:
Algorithm 961: Fortran 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems. ACM Trans. Math. Softw. 42(3): 24:1-24:26 (2016) - [c56]Nicodemus Banagaaya, Lihong Feng, Wim Schoenmaker, Peter Meuris, Aarnout Wieers, Renaud Gillon, Peter Benner:
Model Order Reduction for nanoelectronics coupled problems with many inputs. DATE 2016: 313-318 - [c55]Alexander Zuyev, Victoria Grushkovskaya, Peter Benner:
Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions. ECC 2016: 575-580 - [c54]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón, Juan Pablo Silva:
Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model. ICA3PP Workshops 2016: 18-29 - [d2]Jens Saak, Martin Köhler, Peter Benner:
M-M.E.S.S.-1.0 - The Matrix Equation Sparse Solver Library. Zenodo, 2016 - [i3]Xin Du, Peter Benner:
Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges. CoRR abs/1602.04402 (2016) - [i2]Xin Du, Peter Benner:
Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. CoRR abs/1602.04408 (2016) - [i1]Hidde-Jan Jongsma, Petar Mlinaric, Sara Grundel, Peter Benner, Harry L. Trentelman:
Model Reduction of Linear Multi-Agent Systems by Clustering and Associated H2- and H∞-Error Bounds. CoRR abs/1610.02432 (2016) - 2015
- [j84]Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban:
Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. Adv. Comput. Math. 41(5): 955-960 (2015) - [j83]Peter Benner, Sara Grundel, Nils Hornung:
Parametric model order reduction with a small ℋ2-error using radial basis functions. Adv. Comput. Math. 41(5): 1231-1253 (2015) - [j82]Peter Benner, Sara Grundel:
Model order reduction for a family of linear systems with applications in parametric and uncertain systems. Appl. Math. Lett. 39: 1-6 (2015) - [j81]Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction. Clust. Comput. 18(4): 1351-1362 (2015) - [j80]Hamdullah Yücel, Martin Stoll, Peter Benner:
A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms. Comput. Math. Appl. 70(10): 2414-2431 (2015) - [j79]Peter Benner, Roland Herzog, Michael Hinze, Arnd Rösch, Anton Schiela, Volker Schulz:
Introduction to the special issue for EUCCO 2013. Comput. Optim. Appl. 62(1): 1-3 (2015) - [j78]Hamdullah Yücel, Peter Benner:
Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations. Comput. Optim. Appl. 62(1): 291-321 (2015) - [j77]Michael Mangold, Lihong Feng, Dmytro Khlopov, Stefan Palis, Peter Benner, Daniel Binev, Andreas Seidel-Morgenstern:
Nonlinear model reduction of a continuous fluidized bed crystallizer. J. Comput. Appl. Math. 289: 253-266 (2015) - [j76]Peter Benner, Akwum Onwunta, Martin Stoll:
Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM/ASA J. Uncertain. Quantification 3(1): 622-649 (2015) - [j75]Peter Benner, Vedran Novakovic, Antonio Plaza, Enrique S. Quintana-Ortí, Alfredo Remón:
Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification. IEEE Geosci. Remote. Sens. Lett. 12(6): 1199-1203 (2015) - [j74]Norman Lang, Jens Saak, Peter Benner, Steffen Ihlenfeldt, Steffen Nestmann, Klaus Schädlich:
Towards the identification of heat induction in chip removing processes via an optimal control approach. Prod. Eng. 9(3): 343-349 (2015) - [j73]Peter Benner, Serkan Gugercin, Karen Willcox:
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems. SIAM Rev. 57(4): 483-531 (2015) - [j72]Eberhard Bänsch, Peter Benner, Jens Saak, Heiko K. Weichelt:
Riccati-based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flows. SIAM J. Sci. Comput. 37(2) (2015) - [j71]Peter Benner, Tobias Breiten:
Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM J. Sci. Comput. 37(2) (2015) - [j70]Kapil Ahuja, Peter Benner, Eric de Sturler, Lihong Feng:
Recycling BiCGSTAB with an Application to Parametric Model Order Reduction. SIAM J. Sci. Comput. 37(5) (2015) - [j69]Yongjin Zhang, Lihong Feng, Suzhou Li, Peter Benner:
An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations. SIAM J. Sci. Comput. 37(6) (2015) - [j68]Peter Benner, Alfredo Remón, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí:
Extending lyapack for the solution of band Lyapunov equations on hybrid CPU-GPU platforms. J. Supercomput. 71(2): 740-750 (2015) - [c53]Petar Mlinaric, Sara Grundel, Peter Benner:
Efficient model order reduction for multi-agent systems using QR decomposition-based clustering. CDC 2015: 4794-4799 - [c52]Juan Pablo Silva, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, Peter Benner, Alfredo Remón:
Solving dense linear systems with hybrid ARM+GPU platforms. CLEI 2015: 1-8 - [c51]Martin W. Hess, Peter Benner:
Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. ENUMATH 2015: 351-358 - [c50]Pawan Goyal, Mian Ilyas Ahmad, Peter Benner:
Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization. ECC 2015: 1177-1182 - [c49]Vasile Sima, Peter Benner:
Pitfalls When Solving Eigenproblems - With Applications in Control Engineering. ICINCO (1) 2015: 171-178 - [c48]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Exploring the Offload Execution Model in the Intel Xeon Phi via Matrix Inversion. PARCO 2015: 237-246 - [c47]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems. PPAM (1) 2015: 96-105 - [c46]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators. PPAM (1) 2015: 505-514 - [r1]Peter Benner, Heike Faßbender:
Model Order Reduction: Techniques and Tools. Encyclopedia of Systems and Control 2015 - [d1]Jens Saak, Peter Benner, Heiko K. Weichelt, Eberhard Bänsch:
A linearized Navier-Stokes input output model. Zenodo, 2015 - 2014
- [j67]Norman Lang, Jens Saak, Peter Benner:
Model Order Reduction for Systems with Moving Loads. Autom. 62(7): 512-522 (2014) - [j66]Suzhou Li, Lihong Feng, Peter Benner, Andreas Seidel-Morgenstern:
Using surrogate models for efficient optimization of simulated moving bed chromatography. Comput. Chem. Eng. 67: 121-132 (2014) - [j65]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory. CLEI Electron. J. 17(1) (2014) - [j64]Peter Benner, Patrick Kürschner:
Computing real low-rank solutions of Sylvester equations by the factored ADI method. Comput. Math. Appl. 67(9): 1656-1672 (2014) - [j63]Jessica Bosch, Martin Stoll, Peter Benner:
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. J. Comput. Phys. 262: 38-57 (2014) - [j62]Peter Benner, Jens Saak, Friedhelm Schieweck, Piotr Skrzypacz, Heiko K. Weichelt:
A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. J. Num. Math. 22(3): 191-220 (2014) - [j61]Peter Benner, Matthias Voigt:
A structured pseudospectral method for H∞-norm computation of large-scale descriptor systems. Math. Control. Signals Syst. 26(2): 303-338 (2014) - [j60]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function. Numer. Algorithms 66(2): 363-377 (2014) - [j59]Peter Benner, Mohammad-Sahadet Hossain, Tatjana Stykel:
Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Numer. Algorithms 67(3): 669-690 (2014) - [j58]Peter Benner, Grece El Khoury, Miloud Sadkane:
On the squared Smith method for large-scale Stein equations. Numer. Linear Algebra Appl. 21(5): 645-665 (2014) - [j57]Peter Benner, Tobias Breiten:
On optimality of approximate low rank solutions of large-scale matrix equations. Syst. Control. Lett. 67: 55-64 (2014) - [j56]Peter Benner, Tatjana Stykel:
Numerical Solution of Projected Algebraic Riccati Equations. SIAM J. Numer. Anal. 52(2): 581-600 (2014) - [c45]Peter Benner, Alfredo Remón, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí:
Accelerating the general band matrix multiplication using graphics processors. CLEI 2014: 1-7 - [c44]Mian Ilyas Ahmad, Peter Benner:
Interpolatory model reduction techniques for linear second-order descriptor systems. ECC 2014: 1075-1079 - [c43]Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Pablo Igounet, Enrique S. Quintana-Ortí, Alfredo Remón:
Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction. ICCSA (6) 2014: 386-400 - [c42]Vasile Sima, Peter Benner:
Numerical Investigation of Newton's Method for Solving Continuous-time Algebraic Riccati Equations. ICINCO (1) 2014: 404-409 - [e1]Peter Benner, Rolf Findeisen, Dietrich Flockerzi, Udo Reichl, Kai Sundmacher:
Large-Scale Networks in Engineering and Life Sciences. Modeling and Simulation in Science, Engineering and Technology, Springer 2014, ISBN 978-3-319-08436-7 [contents] - 2013
- [j55]Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, Alfredo Remón:
Solving Matrix Equations on Multi-Core and Many-Core Architectures. Algorithms 6(4): 857-870 (2013) - [j54]Hamdullah Yücel, Martin Stoll, Peter Benner:
Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models. Comput. Chem. Eng. 58: 278-287 (2013) - [j53]Peter Benner, Steffen Börm, Thomas Mach, Knut Reimer:
Computing the eigenvalues of symmetric (H2) -matrices by slicing the spectrum. Comput. Vis. Sci. 16(6): 271-282 (2013) - [j52]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Matrix inversion on CPU-GPU platforms with applications in control theory. Concurr. Comput. Pract. Exp. 25(8): 1170-1182 (2013) - [j51]Peter Benner, Patrick Kürschner, Jens Saak:
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. Numer. Algorithms 62(2): 225-251 (2013) - [j50]Peter Benner, Zoran Tomljanovic, Ninoslav Truhar:
Optimal damping of selected eigenfrequencies using dimension reduction. Numer. Linear Algebra Appl. 20(1): 1-17 (2013) - [j49]Peter Benner, Thomas Mach:
The preconditioned inverse iteration for hierarchical matrices. Numer. Linear Algebra Appl. 20(1): 150-166 (2013) - [j48]Peter Benner, Tobias Breiten:
Low rank methods for a class of generalized Lyapunov equations and related issues. Numerische Mathematik 124(3): 441-470 (2013) - [j47]Peter Benner, Jens Saak, Martin Stoll, Heiko K. Weichelt:
Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM J. Sci. Comput. 35(5) (2013) - [j46]Peter Benner, Hermann Mena:
Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Trans. Autom. Control. 58(11): 2950-2956 (2013) - [c41]Peter Benner, Lihong Feng, Suzhou Li, Yongjin Zhang:
Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography. ENUMATH 2013: 427-435 - [c40]Hamdullah Yücel, Peter Benner:
Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints. ENUMATH 2013: 469-478 - [c39]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations. ICA3PP (2) 2013: 3-10 - [c38]Peter Benner, Jens Saak, Martin Stoll, Heiko K. Weichelt:
Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-field Flow Problems. System Modelling and Optimization 2013: 11-20 - [c37]Peter Benner, Martin Köhler, Jens Saak:
Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures. PARCO 2013: 143-152 - [c36]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs. PARCO 2013: 367-374 - 2012
- [j45]Mohammad Monir Uddin, Jens Saak, Burkhard Kranz, Peter Benner:
Computation of a compact state space model for an adaptive spindle head configuration with piezo actuators using balanced truncation. Prod. Eng. 6(6): 577-586 (2012) - [j44]Peter Benner, Tobias Breiten:
Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM J. Matrix Anal. Appl. 33(3): 859-885 (2012) - [j43]Peter Benner, Thomas Mach:
Computing All or Some Eigenvalues of Symmetric H-Matrices. SIAM J. Sci. Comput. 34(1) (2012) - [j42]Peter Benner, Vasile Sima, Matthias Voigt:
L∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils. IEEE Trans. Autom. Control. 57(1): 233-238 (2012) - [c35]Vasile Sima, Peter Benner, Daniel Kressner:
New SLICOT routines based on structured eigensolvers. CCA 2012: 640-645 - [c34]Peter Benner, Matthias Voigt:
Numerical computation of structured complex stability radii of large-scale matrices and pencils. CDC 2012: 6560-6565 - [c33]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Unleashing CPU-GPU Acceleration for Control Theory Applications. Euro-Par Workshops 2012: 102-111 - [c32]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms. ISPA 2012: 662-668 - [c31]Peter Benner, Vasile Sima, Matthias Voigt:
Robust and Efficient Algorithms for L∞ -Norm Computation for Descriptor Systems. ROCOND 2012: 195-200 - [p1]Eberhard Bänsch, Peter Benner:
Stabilization of Incompressible Flow Problems by Riccati-based Feedback. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 5-20 - 2011
- [j41]Peter Benner, Heike Faßbender:
On the numerical solution of large-scale sparse discrete-time Riccati equations. Adv. Comput. Math. 35(2-4): 119-147 (2011) - [j40]Peter Benner, Ralph Byers, Philip Losse, Volker Mehrmann, Hongguo Xu:
Robust formulas for optimal H∞ controllers. Autom. 47(12): 2639-2646 (2011) - [j39]Peter Benner, Tobias Breiten, Tobias Damm:
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Int. J. Control 84(8): 1398-1407 (2011) - [j38]Peter Benner, Pablo Ezzatti, Daniel Kressner, Enrique S. Quintana-Ortí, Alfredo Remón:
A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. Parallel Comput. 37(8): 439-450 (2011) - [j37]Peter Benner, Tobias Damm:
Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM J. Control. Optim. 49(2): 686-711 (2011) - [j36]Ulrike Baur, Christopher A. Beattie, Peter Benner, Serkan Gugercin:
Interpolatory Projection Methods for Parameterized Model Reduction. SIAM J. Sci. Comput. 33(5): 2489-2518 (2011) - [c30]Peter Benner, Enrique S. Quintana-Ortí, Pablo Ezzatti, Alfredo Remón:
High performance matrix inversion of SPD matrices on graphics processors. HPCS 2011: 640-646 - [c29]Peter Benner, Sabine Hein:
MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations. System Modelling and Optimization 2011: 217-224 - [c28]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Accelerating BST Methods for Model Reduction with Graphics Processors. PPAM (1) 2011: 549-558 - 2010
- [j35]Peter Benner, Daniel Kressner, Vasile Sima, András Varga:
Die SLICOT-Toolboxen für Matlab (The SLICOT Toolboxes for Matlab). Autom. 58(1): 15-26 (2010) - [j34]Peter Benner, Thomas Mach:
On the QR decomposition of \fancyscript H -matrices. Computing 88(3-4): 111-129 (2010) - [c27]Peter Benner, Pablo Ezzatti, Daniel Kressner, Enrique S. Quintana-Ortí, Alfredo Remón:
Accelerating Model Reduction of Large Linear Systems with Graphics Processors. PARA (2) 2010: 88-97
2000 – 2009
- 2009
- [j33]Ulrike Baur, Peter Benner:
Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation). Autom. 57(8): 411-422 (2009) - [j32]Sergio Barrachina, Peter Benner, Enrique S. Quintana-Ortí:
Parallel solution of large-scale algebraic Bernoulli equations with the matrix sign function method. Int. J. Comput. Sci. Eng. 4(2): 88-93 (2009) - [j31]Peter Benner, Ren-Cang Li, Ninoslav Truhar:
On the ADI method for Sylvester equations. J. Comput. Appl. Math. 233(4): 1035-1045 (2009) - [c26]Lihong Feng, Peter Benner, Jan G. Korvink:
Parametric model order reduction accelerated by subspace recycling. CDC 2009: 4328-4333 - [c25]Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón:
Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function. Euro-Par Workshops 2009: 132-139 - 2008
- [j30]Peter Benner:
Large-scale matrix equations of special type. Numer. Linear Algebra Appl. 15(9): 747-754 (2008) - [j29]Peter Benner, Jing-Rebecca Li, Thilo Penzl:
Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Numer. Linear Algebra Appl. 15(9): 755-777 (2008) - [j28]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Solving linear-quadratic optimal control problems on parallel computers. Optim. Methods Softw. 23(6): 879-909 (2008) - [j27]Ulrike Baur, Peter Benner:
Gramian-Based Model Reduction for Data-Sparse Systems. SIAM J. Sci. Comput. 31(1): 776-798 (2008) - [c24]Vasile Sima, Peter Benner:
Experimental evaluation of new SLICOT solvers for linear matrix equations based on the matrix sign function. CACSD 2008: 601-606 - 2007
- [j26]Peter Benner, Maribel Castillo, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Stabilizing large-scale generalized systems on parallel computers using multithreading and message-passing. Concurr. Comput. Pract. Exp. 19(4): 531-542 (2007) - [j25]Peter Benner, Heike Faßbender:
On the Solution of the Rational Matrix Equation X=Q+LX-1LT. EURASIP J. Adv. Signal Process. 2007 (2007) - [j24]Sergio Barrachina, Peter Benner, Enrique S. Quintana-Ortí:
Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function. Numer. Algorithms 46(4): 351-368 (2007) - [c23]Vasile Sima, Peter Benner:
Fast system identification and model reduction solvers. ALCOSP 2007: 477-482 - [c22]José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, Alfredo Remón:
Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems. LSSC 2007: 227-234 - [c21]José M. Badía, Peter Benner, Maribel Castillo, Heike Faßbender, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Strategies for Parallelizing the Solution of Rational Matrix Equations. PARCO 2007: 255-262 - 2006
- [j23]Heike Faßbender, Peter Benner:
Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction). Autom. 54(4): 153-160 (2006) - [j22]Ulrike Baur, Peter Benner:
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic. Computing 78(3): 211-234 (2006) - [j21]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Solving Stable Sylvester Equations via Rational Iterative Schemes. J. Sci. Comput. 28(1): 51-83 (2006) - [j20]Peter Benner, Ralph Byers:
An Arithmetic for Matrix Pencils: Theory and New Algorithms. Numerische Mathematik 103(4): 539-573 (2006) - [j19]Peter Benner, Viatcheslav I. Sokolov:
Partial realization of descriptor systems. Syst. Control. Lett. 55(11): 929-938 (2006) - [j18]Peter Benner, Daniel Kressner:
Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II. ACM Trans. Math. Softw. 32(2): 352-373 (2006) - [c20]José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí:
Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations. Euro-Par 2006: 710-719 - 2005
- [j17]Peter Benner, Maribel Castillo, Enrique S. Quintana-Ortí:
Partial stabilisation of large-scale discrete-time linear control systems. Int. J. Comput. Sci. Eng. 1(1): 15-21 (2005) - [c19]Sergio Barrachina, Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems. CDC/ECC 2005: 2248-2253 - [c18]Peter Benner, Daniel Kressner:
New Hamiltonian Eigensolvers with Applications in Control. CDC/ECC 2005: 6551-6556 - [c17]José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, Jens Saak:
Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles. Euro-Par 2005: 857-866 - [c16]Sergio Barrachina, Peter Benner, Enrique S. Quintana-Ortí:
Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method. ICPP Workshops 2005: 189-193 - 2004
- [c15]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Computing optimal Hankel norm approximations of large-scale systems. CDC 2004: 3078-3083 - [c14]José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí:
Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems. PARA 2004: 267-275 - [c13]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Computing Passive Reduced-Order Models for Circuit Simulation. PARELEC 2004: 146-151 - [c12]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Parallel Model Reduction of Large Linear Descriptor Systems via Balanced Truncation. VECPAR 2004: 340-353 - 2003
- [j16]Peter Benner, Daniel Kressner, Volker Mehrmann:
Structure preservation: a challenge in computational control. Future Gener. Comput. Syst. 19(7): 1243-1252 (2003) - [j15]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Parallel algorithms for model reduction of discrete-time systems. Int. J. Syst. Sci. 34(5): 319-333 (2003) - [j14]Peter Benner, Vicente Hernández, Antonio Pastor:
The Kleinman Iteration for Nonstabilizable Systems. Math. Control. Signals Syst. 16(1): 76-93 (2003) - [j13]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
State-space truncation methods for parallel model reduction of large-scale systems. Parallel Comput. 29(11-12): 1701-1722 (2003) - [c11]Ralph Byers, Peter Benner:
A structure-preserving method for generalized algebraic Riccati equations based on pencil arithmetic. ECC 2003: 957-962 - [c10]Vasile Sima, Peter Benner:
Solving linear matrix equations with SLICOT. ECC 2003: 979-984 - [c9]Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Remote Model Reduction of Very Large Linear Systems. IPDPS 2003: 261 - [c8]Peter Benner, María Isabel Castillo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Parallel Model Reduction of Large-Scale Unstable Systems. PARCO 2003: 251-258 - 2002
- [j12]Peter Benner, Ralph Byers, Rafael Mayo, Enrique S. Quintana-Ortí, Vicente Hernández:
Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems. J. Parallel Distributed Comput. 62(2): 306-325 (2002) - [j11]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Numerical solution of discrete stable linear matrix equations on multicomputers. Parallel Algorithms Appl. 17(2): 127-146 (2002) - [j10]Peter Benner, Ralph Byers, Volker Mehrmann, Hongguo Xu:
Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils. SIAM J. Matrix Anal. Appl. 24(1): 165-190 (2002) - [c7]José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí:
Solving Large Sparse Lyapunov Equations on Parallel Computers (Research Note). Euro-Par 2002: 687-690 - [c6]Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems. PARA 2002: 329-338 - [c5]Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Remote Parallel Model Reduction of Linear Time-Invariant Systems Made Easy. VECPAR 2002: 255-268 - 2001
- [j9]Peter Benner, Ralph Byers:
Evaluating products of matrix pencils and collapsing matrix products. Numer. Linear Algebra Appl. 8(6-7): 357-380 (2001) - [j8]Peter Benner, Heike Faßbender:
An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 22(3): 682-713 (2001) - [j7]Peter Benner:
Symplectic Balancing of Hamiltonian Matrices. SIAM J. Sci. Comput. 22(5): 1885-1904 (2001) - [c4]Peter Benner, Maribel Castillo, Enrique S. Quintana-Ortí:
Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems. ICPP Workshops 2001: 93-98 - 2000
- [j6]Peter Benner, Ralph Byers, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search. Parallel Comput. 26(10): 1345-1368 (2000) - [j5]Peter Benner, Maribel Castillo, Enrique S. Quintana-Ortí, Vicente Hernández:
Parallel Partial Stabilizing Algorithms for Large Linear Control Systems. J. Supercomput. 15(2): 193-206 (2000) - [j4]Peter Benner, Ralph Byers, Eric Barth:
Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method. ACM Trans. Math. Softw. 26(1): 49-77 (2000) - [c3]Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Vicente Hernández:
Solving Discrete-Time Periodic Riccati Equations on a Cluster (Research Note). Euro-Par 2000: 824-828
1990 – 1999
- 1999
- [j3]Peter Benner, Enrique S. Quintana-Ortí:
Solving stable generalized Lyapunov equations with the matrix sign function. Numer. Algorithms 20(1): 75-100 (1999) - [j2]Peter Benner, José M. Claver, Enrique S. Quintana-Ortí:
Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations. Parallel Process. Lett. 9(1): 147-158 (1999) - [c2]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
Solving Stable Stein Equations on Distributed Memory Computers. Euro-Par 1999: 1120-1123 - 1998
- [j1]Peter Benner, Ralph Byers:
An exact line search method for solving generalized continuous-time algebraic Riccati equations. IEEE Trans. Autom. Control. 43(1): 101-107 (1998) - [c1]Peter Benner, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí:
A Portable Subroutine Library for Solving Linear Control Problems on Distributed Memory Computers. Wide Area Networks and High Performance Computing 1998: 61-87
Coauthor Index
[j139] [j133] [j101] [c58] [j91] [c54] [j81] [j75] [j68] [c52] [c48] [c47] [c46] [j65] [j60] [c45] [c43] [j55] [j52] [c39] [c36] [c33] [c32] [j38] [c30] [c28] [c27] [j32] [c25] [j28] [j26] [j24] [c22] [c21] [j21] [c20] [j17] [c19] [c17] [c16] [c15] [c14] [c13] [c12] [j15] [j13] [c9] [c8] [j12] [j11] [c7] [c6] [c5] [c4] [j6] [j5] [c3] [j3] [j2] [c2] [c1]
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