Articles in conference proceedings

[CA234] An Alternative Algorithm for Unstable Balanced Truncation
Peter Benner
MATHMOD 2022 Discussion Contributions, ARGESIM Report 17, pp. 71-72, 2022.
DOI: 10.11128/arep.17.a17178
[CA233] On the Orbital Stability of Periodic Trajectories of a Class of Discontinuous Systems
Alexander Zuyev, Peter Benner, Andreas Seidel-Morgenstern
Proceedings in Applied Mathematics and Mechanics, Vol. 21, Issue 1, e202100222, 2021.
DOI: 10.1002/pamm.202100222
[CA232] Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint
Pawan Goyal and Peter Benner
Workshop Paper at The Symbiosis of Deep Learning and Differential Equations Workshop at NeurIPS 2021, published online, 2021
Preliminary version appeared as arXiv Preprint arXiv: 2109.11446, [cs.LG], 23 September 2021.
[CA231] Stable Macromodels for Delayed PEEC Models with Error Estimation
Lihong Feng, Luigi Lombardi, Giulio Antonini, and Peter Benner
2021 International Applied Computational Electromagnetics Society (ACES) Symposium ACES2021, August 1-5, 2021, Online-Live, Interactive, published online, 2021
DOI: 10.1109/ACES53325.2021.00011
[CA230] Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation
Jens Bremer, Jan Heiland, Peter Benner, and Kai Sundmacher
11th International Symposium on Advanced Control of Chemical Processes (ADCHEM), June 13-16, 2021, virtual, IFAC-PapersOnLine, Vol. 54, Issue 3, pp. 122-127, 2021
DOI: 10.1016/j.ifacol.2021.08.229
[CA229] GR Decompositions and their Relations to Cholesky-like Factorizations
Peter Benner and Carolin Penke
Proceedings in Applied Mathematics and Mechanics, Vol. 20, Issue 1, e202000065, 2021.
DOI: 10.1002/pamm.202000065
Preliminary version appeared as arXiv Preprint arXiv:2006.06558, [math.NA], June 2020.
[CA228] Analysis of Switching Strategies for the Optimization of Periodic Chemical Reactions with Controlled Flow-Rate
Peter Benner, Andreas Seidel-Morgenstern, and Alexander Zuyev
Perspectives in Dynamical Systems III: Control and Stability (DSTA 2019), Springer Proceedings in Mathematics & Statistics, Vol. 364, pp. 59-69, 2021.
DOI: 10.1007/978-3-030-77314-4_5
Preliminary version appeared as arXiv Preprint arXiv:1909.02287v1 [math.OC], September 2019.
[CA227] Simulation of the Thermal Behavior of Machine Tools for Efficient Machine Development and Online Correction of the Tool Center Point (TCP)-Displacement
Stefan Sauerzapf, Julia Vettermann, Andreas Naumann, Jens Saak, Michael Beitelschmidt, and Peter Benner
Special Interest Group Meeting on Thermal Issues Laboratory for Machine Tools and Production Engineering (WZL), February 26 - 27, 2020, Aachen, Germany, published online June 2020.
[CA226] A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems
Peter Benner, Thomas Richter, and Roman Weinhandl
Numerical Mathematics and Advanced Applications ENUMATH 2019, September 30 - October 4, 2019, Egmond aan Zee, The Netherlands, Lecture Notes in Computational Science and Engineering, Cham: Springer, Vol. 139, pp. 1157-1165, 2021.
DOI: 10.1007/978-3-030-55874-1_115
Preliminary version appeared as arXiv Preprint arXiv:1911.08193v1, [math.NA], November 2019.
[CA225] Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough
Peter Benner and Jan Heiland
2020 European Control Conference, ECC 2020, May 12-15, 2020, Saint Petersburg, Russia, pp. 402-407, 2020.
DOI: 10.23919/ECC51009.2020.9143771
[CA224] PD Controllers to solve Single-Input, Index-1 DAE based LQR Problems
Chayan Bhawal, Jan Heiland, and Peter Benner
2020 European Control Conference, ECC 2020, May 12-15, 2020, Saint Petersburg, Russia, pp. 1795-1800, 2020.
DOI: 10.23919/ECC51009.2020.9143633
[CA223] M-M.E.S.S.-2.0 — The “Matrix Equations, Sparse Solvers” toolbox for MATLAB® and GNU Octave
Jens Saak, Martin Köhler, and Peter Benner
Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', September 23-27, 2019, Anif, Salzburg, pp. 355-362, 2019.
[CA222] Riccati-Feedback Control of a Two-Dimensional Two-Phase Stefan Problem
Jens Saak, Björn Baran, and Peter Benner
Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', September 23-27, 2019, Anif, Salzburg, pp. 478-496, 2019.
[CA221] MORLAB - Model Order Reduction LABoratory
Peter Benner and Steffen W. R. Werner
Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', September 23-27, 2019, Anif, Salzburg, pp. 337-342, 2019.
[CA220] Frequenz- und zeitbeschränktes balanciertes Abschneiden für Systeme zweiter Ordnung
Peter Benner and Steffen W. R. Werner
Tagungsband GMA-FA 1.30 'Modellbildung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Systemtheorie und Regelungstechnik', September 23-27, 2019, Anif, Salzburg, pp. 460-474, 2019.
[CA219] An Adaptive Method for Interpolating Reduced-Order Models Based on Matching and Continuation of Poles
Yao Yue, Lihong Feng, and Peter Benner
2019 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2019, May 29-31, 2019, Cambridge, MA, USA, 2019.
DOI: 10.1109/NEMO43056.2019.9247028
[CA218] Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations
Peter Benner, Jan Heiland, and Steffen W. R. Werner
3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equation XI Workshop Control of Distributed Parameter Systems, May 20-24, 2019, Oaxaca, Mexico, IFAC-PapersOnLine, Vol. 52, Issue 2, pp. 25-29, 2019.
DOI: 10.1016/j.ifacol.2019.08.005
[CA217] Optimal Periodic Control of Nonlinear Chemical Reactions with a Time-Varying Flow Rate
Alexander Zuyev, Andreas Seidel-Morgenstern, and Peter Benner
Proceedings in Applied Mathematics and Mechanics 2019, Vol. 19, Issue 1, e201900146, 2019.
DOI: 10.1002/pamm.201900146
[CA216] Model Reduction for Second-Order Dynamical Systems Revisited
Rebekka Beddig, Peter Benner, Ines Dorschky, Timo Reis, Paul Schwerdtner, Matthias Voigt, and Steffen W. R. Werner
Proceedings in Applied Mathematics and Mechanics 2019, Vol. 19, Issue 1, e201900224, 2019.
DOI: 10.1002/pamm.201900224
[CA215] Index-preserving Model Order Reduction for Differential-Algebraic Systems arising in Gas Transport Networks
Nicodemus Banagaaya, Peter Benner, and Sara Grundel
20th European Conference on Mathematics for Industry (ECMI 2018), Mathematics in Industry, Cham: Springer International Publishing, Vol. 30, pp. 291-297, 2019.
DOI: 10.1007/978-3-030-27550-1_36
[CA214] Model Order Reduction of Bilinear Time-Delay Systems
Ion Victor Gosea, Igor Pontes Duff, Peter Benner and Athanasios C. Antoulas
European Control Conference 2019 (ECC'19), June 25-28, 2019, Napoli, Italy, pp. 2289-2294, 2019.
DOI: 10.23919/ECC.2019.8796085
[CA213] Efficient Error Estimator for Model Order Reduction of Linear Parametric Systems
Lihong Feng and Peter Benner
2019 IEEE/MTT-S International Microwave Symposium (IMS 2019), June 2-7, 2019, Boston, Massachusetts, pp. 346-349, 2019.
DOI: 10.1109/MWSYM.2019.8700642
[CA212] Model Order Reduction of Switched Linear Systems with Constrained Switching
Ion Victor Gosea, Igor Pontes Duff, Peter Benner, and Athanasios C. Antoulas
Proceedings of the IUTAM Symposium on Model Order Reduction of Coupled Systems (MORCOS 2018) , May 22-25, 2018, Stuttgart, Vol. 36, pp. 41-53, 2020.
DOI: 10.1007/978-3-030-21013-7_3
[CA211] Index-aware MOR for Gas Transport Networks
Nicodemus Banagaaya, Sara Grundel, and Peter Benner
Proceedings of the IUTAM Symposium on Model Order Reduction of Coupled Systems (MORCOS 2018) , May 22-25, 2018, Stuttgart, Cham: Springer International Publishing, Vol. 36, pp. 191-207, 2020.
DOI: 10.1007/978-3-030-21013-7_14
[CA210] Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures
Petar Mlinarić, Takayuki Ishizaki, Aranya Chakrabortty, Sara Grundel, Peter Benner, and Jun-ichi Imura
Proceedings of the 17th European Control Conference (ECC), June 12-15, 2018, Limassol, Cyprus, pp. 2266-2271, 2018. [ISBN: 978-3-9524-2699-9]
DOI: 10.23919/ECC.2018.8550528
Preliminary version appeared as arXiv Preprint arXiv:1803.00439, March 2018.
[CA209] Numerical Investigation of Newton’s Method for Solving Discrete-time Algebraic Riccati Equations
Vasile Sima and Peter Benner
Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics (INCINCO), July 29-31, 2018, Porto, Portugal, Vol. 1, pp. 66-75, 2018. [ISBN: 978-989-758-321-6]
DOI: 10.5220/0006860600760085
[CA208] Optimal Sensor Placement based on Model Order Reduction
Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel, and Jens Saak
Proceedings of the CIRP-sponsored Conference on Thermal Issues in Machine Tools, March 21-23, 2018, Dresden, pp. 355-365, 2018. [ISBN: 978-3-95735-085-5]
[CA207] Improving the Performance of Numerical Algorithms for the Bethe-Salpeter Eigenvalue Problem
Peter Benner, Andreas Marek, and Carolin Penke
Proceedings in Applied Mathematics and Mechanics 2018, Vol. 18, Issue 1, e201800255, 2018.
DOI: 10.1002/pamm.201800255
[CA206] Balancing Related Model Reduction with the MORLAB Toolbox
Peter Benner and Steffen W. R. Werner
Proceedings in Applied Mathematics and Mechanics 2018, Vol. 18, Issue 1, e201800083, 2018.
DOI: 10.1002/pamm.201800083
[CA205] On an Invariance Principle for the Solution Space of the Differential Riccati Equation
Maximilian Behr, Peter Benner, and Jan Heiland
Proceedings in Applied Mathematics and Mechanics 2018, Vol. 18, Issue 1, e201800031, 2018.
DOI: 10.1002/pamm.201800031
[CA204] Control Design for a 2x2 Hyperbolic System with Application to Preferential Crystallization
Alexander Zuyev and Peter Benner
Proceedings in Applied Mathematics and Mechanics 2018, Vol. 18, Issue 1, e201800455, 2018.
DOI: 10.1002/pamm.201800455
[CA203] Linear Low-Rank Parameter-Dependent Fluid-Structure Interaction Discretization in 2D
Roman Weinhandl, Peter Benner, and Thomas Richter
Proceedings in Applied Mathematics and Mechanics 2018, Vol. 18, Issue 1, e201800178, 2018.
DOI: 10.1002/pamm.201800178
[CA202] Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model
Peter Benner, Tim Mitchell, and Michael L. Overton
2018 IEEE Conference on Decision and Control (CDC), December 17-19, 2018, Fontainebleau, Miami Beach, FL, USA, pp. 3000-3005, 2018.
DOI: 10.1109/CDC.2018.8619449
Preliminary version appeared as arXiv Preprint arXiv:1803.06549 [math.OC], March 2018.
[CA201] Interpolation of Reduced-Order Models Based on Modal Analysis
Peter Benner, Lihong Feng, and Yao Yue
2018 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO2018, August 8-10, 2018, Reykjavik, Ireland, 2018.
DOI: 10.1109/NEMO.2018.8503114
[CA200] Model Reduction of Descriptor Systems with the MORLAB Toolbox
Peter Benner and Steffen W. R. Werner
9th Vienna Int. Conf. on Mathematical Modelling MATHMOD 2018, February 21-23, 2018, Vienna, Austria, IFAC-PapersOnLine, Vol. 51, Issue 2, pp. 547-552, 2018.
DOI: 10.1016/j.ifacol.2018.03.092
[CA199] MORLAB - Modellreduktion in MATLAB
Peter Benner and Steffen W. R. Werner
In T. Meurer and F. Woittennek (Eds.), Tagungsband GMA-FA 1.30 'Modellierung, Identifikation und Simulation in der Automatisierungstechnik' und GMA-FA 1.40 'Theoretische Verfahren der Regelungstechnik', September 18-22, 2017, Anif, Salzburg, pp. 508-517, 2017. [ISBN: 978-3-9819634-0-3]
[CA198] Computation of Periodic Switching Strategies for the Optimal Control of Chemical Reactions
Peter Benner, Andreas Seidel-Morgenstern, and Alexander Zuyev
In J. Awrejcewicz, M. Kazmierczak, J. Mrozowski, and P. Olejnik (Eds.), Mathematical and Numerical Aspects of Dynamical System Analysis, Łódź University of Technology, Department of Automation, Biomechanics and Mechatronics, Poland, pp. 59-66, 2017. [ISBN: 978-83-935312-6-4]
[CA197] Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces
Björn Baran, Peter Benner, Jan Heiland, and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 17, Issue 1, pp. 769-770, 2017.
DOI: 10.1002/pamm.201710352
[CA196] On the Transformation Formulas of the Hankel-Norm Approximation
Peter Benner and Steffen W. R. Werner
Proceedings in Applied Mathematics and Mechanics, Vol. 17, Issue 1, pp. 823-824, 2017.
DOI: 10.1002/pamm.201710379
[CA195] Construction of a Lyapunov Functional for a Class of Controlled Population Balance Models
Alexander Zuyev, Achim Kienle, and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 17, Issue 1, pp. 827-828, 2017.
DOI: 10.1002/pamm.201710381
[CA194] A Greedy Subspace Method for Computing the L-Norm
Nicat Aliyev, Peter Benner, Emre Mengi, Paul Schwerdtner, and Matthias Voigt
Proceedings in Applied Mathematics and Mechanics, Vol 17, Issue 1, pp. 751-752, 2017.
DOI: 10.1002/pamm.201710343
[CA193] Nonlinear Feedback Stabilization of Incompressible Flows via updated Riccati-based Gains
Peter Benner and Jan Heiland
56th IEEE Conference on Decision and Control, Melbourne, Australia, December 12-15, 2017, pp. 1163-1168, 2017.
DOI: 10.1109/CDC.2017.8263813
[CA192] Sparse Model Order Reduction for Electro-Thermal Problems with Many Inputs
Nicodemus Banagaaya, Lihong Feng, Wim Schoenmaker, Peter Meuris, Renaud Gillon, and Peter Benner
In U. Langer, W. Amrhein, W. Zulehner (Eds.), Scientific Computing in Electrical Engineering - SCEE 2016, Mathematics in Industry, Springer International Publishing, Vol. 28, pp. 189-202, 2018.
DOI: 10.1007/978-3-319-75538-0_18
[CA191] Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms
Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón
In O. Gervasi, B. Murgante, S. Misra, G. Borruso, C. M. Torre, A.M.A.C. Rocha, D. Taniar, B. O. Apduhan E. Stankova, A. Cuzzocrea (Eds.), Computational Science and Its Applications – ICCSA 2017, Proceedings, Part I, Lecture Notes in Computer Science, Vol. 10404, pp. 116-132,
Springer International Publishing, 2017.
DOI: 10.1007/978-3-319-62392-4_9
[CA190] Studying mixed precision techniques for the solution of algebraic Riccati equations
Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, and Alfredo Remón
In 2nd Workshop on Power-Aware Computing, Ringberg Castle, July 5-8, 2017, July 2017.
DOI: 10.5281/zenodo.815496
[CA189] GPU-accelerated Implementation of the Storage-efficient QR Decomposition
Peter Benner, Martin Köhler, and Carolin Penke
In 2nd Workshop on Power-Aware Computing, Ringberg Castle, July 5-8, 2017, July 2017.
DOI: 10.5281/zenodo.815816
[CA188] Parameterized Frequency-dependent Balanced Truncation for Model Order Reduction of Linear Systems
Xin Du and Peter Benner
In 2017 29th Chinese Control And Decision Conference (CCDC), pp. 901-908, 2017.
DOI: 10.1109/CCDC.2017.7978648
[CA187] Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows
Peter Benner and Jan Heiland
In IFAC 2017 World Congress, 9 -14 July, 2017, Toulouse, France, IFAC-PapersOnLine, Vol. 50, Issue 1, pp. 12296-12300, 2017.
DOI: 10.1016/j.ifacol.2017.08.2476
[CA186] Simulation gekoppelter Baugruppen: Effiziente Zeitintegrationsverfahren und Modellordnungsreduktion
Norman Lang, Peter Benner, Andreas Naumann, Jörg Wensch
In C. Brecher (Ed.), Tagungsband des 5. Kolloquiums zum SFB/TR 96, Thermo-Energetische Gestaltung von Werkzeugmaschinen - Modellierung und Simulation, pp. 18-32, 2017. [ISBN: 978-3-86780-516-2]
[CA185] Parametric Model Order Reduction for Electro-Thermal Coupled Problems with Many Inputs
Nicodemus Banagaaya, Peter Benner, and Lihong Feng
In P. Quintela, P. Barral, D. Gómez, F.J. Pena, J. Rodríguez, P. Salgado, M.E. Vázquez-Mendéz (Eds.), Progress in Industrial Mathematics at ECMI 2016, Mathematics in Industry, Vol. 26, Springer International Publishing, pp. 263-270, 2018. [ISBN: 978-3-319-63081-6]
DOI: 10.1007/978-3-319-63082-3_41
[CA184] Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections
Peter Benner, Jens Saak, and M. Monir Uddin
In Proceedings of the 19th International Conference on Computer and Information Technology, December 18-20, 2016, North South University, Dhaka, Bangladesh, pp. 134-138, IEEE Publications, 2016. [ISBN: 978-1-5090-4090-2]
DOI: 10.1109/ICCITECHN.2016.7860183
[CA183] Improved Balancing for General and Structured Eigenvalue Problems
Vasile Sima and Peter Benner
In E. Petre, M. Brezovan, Proceedings of the 2016 20th International Conference on System Theory, Control and Computing (ICSTCC), October 13-15, Sinaia, Romania, pp. 381-386, IEEE, 2016. [ISBN: 978-1-5090-2720-0]
DOI: 10.1109/ICSTCC.2016.7790695
[CA182] Stability Preserving Model Reduction for Linearly Coupled Linear Time-Invariant Systems
Peter Benner, Sara Grundel, and Petar Mlinarić
Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 817-818, 2016.
DOI: 10.1002/pamm.201610397
[CA181] Numerical Solution to Low Rank Perturbed Lyapunov Equations by the Sign Function Method
Peter Benner and Jonas Denißen
Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 723-724, 2016.
DOI: 10.1002/pamm.201610350
[CA180] Local Steering Problem for a Class of Control-Affine Systems with Application to Continuous Crystallization Processes
Alexander Zuyev and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 831-832, 2016.
DOI: 10.1002/pamm.201610404
[CA179] Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón, and Juan Pablo Silva
In J. Carretero et al (Eds.), Algorithms and Architectures for Parallel Processing. ICA3PP 2016 Collocated Workshops: SCDT, TAPEMS, BigTrust, UCER, DLMCS, Granada, Spain, December 14-16, 2016, Proceedings, Lecture Notes in Computer Science, Vol. 10049, pp. 18-29, 2016.
DOI: 10.1007/978-3-319-49956-7_2
[CA178] Nonlinear Model Order Reduction for Catalytic Tubular Reactors
Jens Bremer, Pawan Goyal, Lihong Feng, Peter Benner, and Kai Sundmacher
Proceedings of the 26th Symposium on Computer Aided Process Engineering (ESCAPE), Portorož, Slovenia, 12 -15 June 2016, pp. 2373-2378, 2016.
DOI: 10.1016/B978-0-444-63428-3.50400-8
[CA177] Robust Stabilization of Laminar Flows in Varying Flow Regimes
Peter Benner and Jan Heiland
2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE 2016), 13 — 15 June 2016, Bertinoro, Italy, IFAC-PapersOnLine, Vol. 49, Issue 8, pp. 31-36, 2016.
DOI: 10.1016/j.ifacol.2016.07.414
[CA176] Model Order Reduction for Nanoelectronics Coupled Problems with Many Inputs
Nicodemus Banagaaya, Lihong Feng, Wim Schoenmaker, Peter Meuris, Aarnout Wieers, Renaud Gillon, and Peter Benner
Proceedings of the 2016 Design, Automation & Test in Europe Conference & Exhibition (DATE), 14 – 18 March 2016, ICC, Dresden, Germany , pp. 313-318, 2016. [ISBN: 978-3-9815370-6-2]
[CA175] Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction
Peter Benner and Pawan Goyal
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems - MTNS 2016, 12 - 15 July 2016, Minnesota, USA, pp. 81-83, 2016.
[CA174] Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents
Petar Mlinarić, Sara Grundel, and Peter Benner
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems - MTNS 2016, 12 - 15 July 2016, Minneapolis, USA, pp. 230-235, 2016.
[CA173] An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit Simulation
Pawan Goyal and Peter Benner
In M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (Eds.), Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, pp. 4196-4212, 2016.
[CA172] Reduced Basis Method for Poisson-Boltzmann Equation
Cleophas Kweyu, Martin W. Hess, Lihong Feng, Matthias Stein, and Peter Benner
In M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (Eds.), Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, pp. 4187-4195, 2016.
[CA171] Time-Varying Stabilization of a Class of Driftless Systems Satisfying Second-Order Controllability Condition
Alexander Zuyev, Victoria Grushkovskaya, and Peter Benner
Proceedings of 2016 European Control Conference (ECC), 29 June - 1 July, 2016. Aalborg, Denmark, pp. 575-580, 2016.
DOI: 10.1109/ECC.2016.7810346
[CA170] Berechnung von thermo-elastischen Deformationen in Werkzeugmaschinen - Vergleich numerischer Verfahren
Michael Beitelschmidt, Peter Benner, Norman Lang, Andreas Naumann, Marian Partzsch, Axel Voigt, and Jörg Wensch
In C. Brecher (Ed.), Tagungsband des 4. Kolloquiums zum SFB/TR 96, Thermo-Energetische Gestaltung von Werkzeugmaschinen, pp. 83-97, Verlag Wissenschaftliche Scripten, 2016. [ISBN: 978-3-95735-038-1]
[CA169] Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations
Martin W. Hess and Peter Benner
In B. Karasözen, M. Manguoglu, M. Tezer-Sezgin, S. Göktepe, and Ö. Ugur (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2015, Lecture Notes in Computational Science and Engineering, Vol. 112, pp. 351-358, 2016.
DOI: 10.1007/978-3-319-39929-4_33
[CA168] Efficient Model Order Reduction for Multi-Agent Systems Using QR Decomposition-Based Clustering
Petar Mlinarić, Sara Grundel, and Peter Benner
Proceedings of the 54th IEEE Conference on Decision and Control (CDC), Osaka, Japan, Dec. 2015, pp. 4794-4799, 2015.
DOI: 10.1109/CDC.2015.7402967
[CA167] A New Interpolatory Model Reduction Approach for Quadratic Bilinear Descriptor Systems
Mian Ilyas Ahmad, Peter Benner, and Lihong Feng
Proceedings in Applied Mathematics and Mechanics, Vol. 15, pp. 589-590, 2015.
DOI: 10.1002/pamm.201510284
[CA166] Exploring the Offload Execution in the Intel Xeon Phi via Matrix Inversion
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In G. R. Joubert et al. (Eds.), Parallel Computing: On the Road to Exascale, Advances in Parallel Computing, Vol. 27, pp. 237-246, 2016. [ISBN: 978-1-61499-620-0]
DOI: 10.3233/978-1-61499-621-7-237
[CA165] A Parallel Multi-Threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In R. Wyrzykowski et al. (Eds.), Parallel Processing and Applied Mathematics - PPAM 2015, Lecture Notes in Computer Science, Vol. 9573, pp. 96-105, 2016.
DOI: 10.1007/978-3-319-32149-3_10
[CA164] Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In R. Wyrzykowski et al. (Eds.), Parallel Processing and Applied Mathematics - PPAM 2015, Lecture Notes in Computer Science, Vol. 9573, pp. 505-514, 2016.
DOI: 10.1007/978-3-319-32149-3_47
[CA163] Solving Dense Linear Systems with Hybrid ARM+GPU Platforms [in Spanish]
Juan P. Silva, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, Peter Benner, and Alfredo Remón
Proceedings of the 41st Latin American Computing Conference - CLEI 2015, 19-23 October 2015. Arequipa, Peru, pp. 1-8, 2015.
DOI: 10.1109/CLEI.2015.7360027
[CA162] Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domains
Peter Benner and Martin W. Hess
In A. Bartel, M. Clemens, M. Günther, E. J. W. ter Maten (Eds.), Scientific Computing in Electrical Engineering - SCEE 2014, Mathematics in Industry, Vol. 23, pp. 215-222, 2016.
DOI: 10.1007/978-3-319-30399-4_21
[CA161] Parametric and Reduced-Order Modeling for the Thermal Analysis of Nanoelectronic Structures
Lihong Feng, Peter Meuris, Wim Schoenmaker, and Peter Benner
In A. Bartel, M. Clemens, M. Günther, E. J. W. ter Maten (Eds.), Scientific Computing in Electrical Engineering - SCEE 2014, Mathematics in Industry, Vol. 23, pp. 155-163, 2016.
DOI: 10.1007/978-3-319-30399-4_16
[CA160] Approximation and Model Order Reduction for Second Order Systems with Levy-Noise
Martin Redmann and Peter Benner
Dynamical Systems, Differential Equations and Applications. AIMS Proceedings, pp. 945-953, 2015.
DOI: 10.3934/proc.2015.0945
[CA159] An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations
Yongjin Zhang, Lihong Feng, Suzhou Li, and Peter Benner
8th Vienna International Conference on Mathematical Modelling MATHMOD 2015, 18-20 February, 2015. Vienna, Austria, IFAC-PapersOnLine, Vol. 48, pp. 9-10, 2015.
DOI: 10.1016/j.ifacol.2015.05.096
[CA158] Model Order Reduction of an Electro-Thermal Package Model
Nicodemus Banagaaya, Lihong Feng, Peter Meuris, Wim Schoenmaker, and Peter Benner
8th Vienna International Conference on Mathematical Modelling MATHMOD 2015, 18-20 February, 2015. Vienna, Austria, IFAC-PapersOnLine, Vol. 48, pp. 934-935, 2015.
DOI: 10.1016/j.ifacol.2015.05.212
[CA157] Model Reduction of Quadratic-Bilinear Descriptor Systems via Carleman Bilinearization
Pawan Kumar Goyal, Mian Ilyas Ahmad, and Peter Benner
Proceedings of 2015 European Control Conference (ECC), 15-17 July, 2015. Linz, Austria, pp. 1177-1182, 2015.
DOI: 10.1109/ECC.2015.7330699
[CA156] Solving SLICOT Benchmarks for Continuous-time Algebraic Riccati Equations by Hamiltonian Solvers
Vasile Sima and Peter Benner
Proceedings of the 19th International Conference on System Theory, Control and Computing, 14-16 October, 2015. Cheile Gradistei - Fundata Resort, Romania, pp. 1-6, 2015.
DOI: 10.1109/ICSTCC.2015.7321260
[CA155] Pitfalls when Solving Eigenproblems with Applications in Control Engineering
Vasile Sima and Peter Benner
Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics (ICINCO-2015), 21-23 July, 2015. Colmar, France, Vol. 1, pp. 171-178, 2015.
DOI: 10.5220/0005533301710178
[CA154] Ehrlich-Aberth Iteration For Vibrational Systems
Peter Benner and Jonas Denißen
Proceedings of the IFTOMM International Conference on Engineering Vibration 2015 (ICoEV 2015), Ljubljana, Slovenia, pp. 1540-1548, 2015.
[CA153] Application of Krylov-type Parametric Model Order Reduction in Efficient Uncertainty Quantification of Electro-thermal Circuit Models
Yao Yue, Lihong Feng, Peter Meuris, Wim Schoenmaker, and Peter Benner
Proceedings of the Progress In Electromagnetics Research Symposium (PIERS 2015), Prague, Czech Republic, pp. 379-384, 2015.
DOI: 10.17617/2.2223025
[CA152] The European Project nanoCOPS for Nanoelectronic Coupled Problems Solutions
H. H. J. M. Janssen, P. Benner, K. Bittner, H.-G. Brachtendorf, L. Feng, E. J. W. ter Maten, R. Pulch, W. Schoenmaker, S. Schöps, and C. Tischendorf
In G. Russo, V. Capasso, G. Nicosia, and V. Romano (Eds.), Progress in Industrial Mathematics at ECMI 2014, Mathematics in Industry, Vol. 22, pp. 835-842, Springer International Publishing, 2016. [ISBN: 978-3-319-23412-0].
DOI: 10.1007/978-3-319-23413-7_116
[CA151] Automatic Generation of Reduced Order Models for Linear Parametric Systems
Lihong Feng, Athanasios C. Antoulas, and Peter Benner
In G. Russo, V. Capasso, G. Nicosia, and V. Romano (Eds.), Progress in Industrial Mathematics at ECMI 2014, Mathematics in Industry, Vol. 22, pp. 811-818, Springer International Publishing, 2016. [ISBN: 978-3-319-23412-0].
DOI: 10.1007/978-3-319-23413-7
[CA150] Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints
Hamdullah Yücel and Peter Benner
In A. Abdulle, S. Deparis, D. Kressner, F. Nobile, and M. Picasso (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering, Vol. 103, pp. 469-478, Springer International Publishing, 2015. [ISBN: 978-3-319-10704-2]
DOI: 10.1007/978-3-319-10705-9_46
[CA149] Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography
Peter Benner, Lihong Feng, Suzhou Li, and Yongjin Zhang
In A. Abdulle, S. Deparis, D. Kressner, F. Nobile, and M. Picasso (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering, Vol. 103, pp. 427-435, Springer International Publishing, 2015. [ISBN: 978-3-319-10704-2]
DOI: 10.1007/978-3-319-10705-9_42
[CA148] Mapping Parameters Across System Boundaries: Parameterized Model Reduction with Low Rank Variability in Dynamics
Ulrike Baur, Christopher Beattie, and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 14, pp. 19–22, 2014.
DOI: 10.1002/pamm.201410006
[CA147] A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem
Peter Benner, Martin Köhler, and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 14, Issue 1, pp. 819–820, 2014.
DOI: 10.1002/pamm.201410390
[CA146] Spectral Bounds on the Solution of Linear Time-Periodic Systems
Peter Benner and Jonas Denißen
Proceedings in Applied Mathematics and Mechanics, Vol. 14, Issue 1, pp. 863–864, 2014.
DOI: 10.1002/pamm.201410412
[CA145] Generalized Inverses of Periodic Matrix Pairs and Model Reduction for Periodic Control Systems
Mohammad-Sahadet Hossain and Peter Benner
In Proceedings of the 2014 International Conference on Electrical Engineering and Information & Communication Technology (ICEEICT), pp. 1-6, IEEE Publications, 2014. [ISBN: 978-1-4799-4820-8]
DOI: 10.1109/ICEEICT.2014.6919033
[CA144] Interpolatory Model Reduction Techniques for Linear Second-Order Descriptor Systems
Mian Ilyas Ahmad and Peter Benner
Proceedings of 2014 European Control Conference (ECC), pp. 1075-1079, IEEE Publications, 2014.
DOI: 10.1109/ECC.2014.6862210
[CA143] Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction
Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Pablo Igounet, Enrique S. Quintana-Ortí, and Alfredo Remón
In B. Murgante et al (Eds.), Computational Science and Its Applications – ICCSA 2014 14th International Conference, Guimarães, Portugal, June 30 – July 3, 2014, Proceedings, Part VI, Lecture Notes in Computer Science, Vol. 8584, pp. 386-400, Springer International Publishing, 2014.
DOI: 10.1007/978-3-319-09153-2_29
[CA142] Accelerating the General Band Matrix Multiplication Using Graphics Processors
Peter Benner, Alfredo Remón, Ernesto Dufrechou, Pablo Ezzatti, and Enrique S. Quintana-Ortí
Proceedings of XL Conferencia Lationamericana en Informática. Montevideo (Uruguay), pp. 1-7, 2014.
DOI: 10.1109/CLEI.2014.6965142
[CA141] Numerical Investigation of Newton’s Method for Solving Continuous-time Algebraic Riccati Equations
Vasile Sima and Peter Benner
In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO), pp. 404-409, SCITEPRESS, 2014.
DOI: 10.5220/0005117004040409.
[CA140] Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems
Peter Benner, Jens Saak, Martin Stoll, and Heiko K. Weichelt
In C. Pötzsche, C. Heuberger, B. Kaltenbacher, and F. Rendl (Eds.), System Modeling and Optimization. 26th IFIP TC 7 Conference, Klagenfurt, Austria, September 8–13, 2013, IFIP AICT, Vol. 443, pp. 11-20, Springer-Verlag, Berlin/Heidelberg, 2014.
DOI: 10.1007/978-3-662-45504-3_2.
[CA139] Using Model Order Reduction to Accelerate Optimization of Multi-Stage Linear Dynamical Systems
Yao Yue, Suzhou Li, Lihong Feng, Andreas Seidel-Morgenstern, and Peter Benner
In A. Araujo (Ed.), Engineering Optimization IV, pp. 453-458, CRC Press, 2014.[ISBN: 978-1-138-02725-1]
DOI: 10.1201/b17488-80.
[CA138] Balanced Truncation for Stochastic Linear Systems with Guaranteed Error Bound
Tobias Damm and Peter Benner
In Proceedings of The 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), pp. 1492-1497, 2014.
[CA137] Efficient Model Reduction of SMB Chromatography by Krylov-subspace Method with Application to Uncertainty Quantification
Yao Yue, Suzhou Li, Lihong Feng, Andreas Seidel-Morgenstern, and Peter Benner
In J. J. Klemeš, P. S. Varbanov, and P. Y. Liew (Eds.), Proceedings of the 24th European Symposium on Computer Aided Process Engineering, Part-A, pp. 925-930, Elsevier B.V., 2014.[ISBN: 978-0-444-63456-6]
DOI: 10.1016/B978-0-444-63456-6.50155-1
[CA136] Balancing-Related Model Reduction for Parabolic Control Systems
Peter Benner
Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, IFAC Proceedings Volumes, Vol. 46, Issue 26, pp. 257-262, 2013.
DOI: 10.3182/20130925-3-FR-4043.00065
[CA135] Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control
Peter Benner and Martin Stoll
Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, IFAC Proceedings Volumes, Vol. 46, Issue 26, pp. 139-143, 2013.
DOI: 10.3182/20130925-3-FR-4043.00062
[CA134] On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In R. Aversa, J. Kolodziej, J. Zhang, F. Amato, F. Giancarlo (Eds.), 13th International Conference, ICA3PP 2013, Vietri sul Mare, Italy, December 18-20, 2013, Proceedings, Part I, Lecture Notes in Computer Science, Vol. 8286, pp. 3-10, Springer-Verlag, Berlin/Heidelberg, 2013.
DOI: 10.1007/978-3-319-03889-6_1
[CA133] Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures
Peter Benner, Martin Köhler, and Jens Saak
In M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G.R. Joubert, F. Peters (Eds.), Parallel Computing: Accelerating Computational Science and Engineering (CSE). Advances in Parallel Computing, Vol. 25, pp. 143-152, IOS Press, 2014.
DOI: 10.3233/978-1-61499-381-0-143
[CA132] Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G.R. Joubert, F. Peters (Eds.), Parallel Computing: Accelerating Computational Science and Engineering (CSE). Advances in Parallel Computing, Vol. 25, pp. 367-374, IOS Press, 2014.
DOI: 10.3233/978-1-61499-381-0-367
[CA131] Trading Off Performance for Power-Energy in Dense Linear Algebra Operations
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In Proceedings of VI Latin American Symposium on High Performance Computing - HPCLatAm 2013. Mendoza (Argentina), pp. 158-166, 2013.
[CA130] Computation of the H-Norm for Large-Scale Systems
Matthias Voigt, Peter Benner, and Ryan Lowe
Mathematisches Forschungsinstitut Oberwolfach, Vol. 10, Issue 4, pp. 3289-3291, 2013.
DOI: 10.4171/OWR/2013/56
[CA129] A Parallel, Adaptive Multi-Point Model Order Reduction Algorithm
Giovanni De Luca, Guilio Antonini, and Peter Benner
In Proceedings of 22nd Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), pp. 115-118, 2013, IEEE Publications.
DOI: 10.1109/EPEPS.2013.6703479
[CA128] Reachability and Observability Concepts for Stochastic Systems
Peter Benner and Martin Redmann
Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 381-382, 2013.
DOI: 10.1002/pamm.201310186
[CA127] A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors
Peter Benner, Patrick Kürschner, and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 585-586, 2013.
DOI: 10.1002/pamm.201310273
[CA126] Bounds on the Solution of Linear Time-Periodic Systems
Peter Benner, Jonas Denißen, and Ludwig Kohaupt
Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 447-448, 2013.
DOI: 10.1002/pamm.201310217
[CA125] Modeling Structural Variability in Reduced Order Models of Machine Tool Assembly Groups via Parametric MOR
Peter Benner, Norman Lang, and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 481-482, 2013.
DOI: 10.1002/pamm.201310233
[CA124] Modellordnungsreduktion für geschaltete, gekoppelte thermo-elastische Systeme
Peter Benner, Norman Lang, Jens Saak
In O. Sawodny and J. Adamy (Eds.), Tagungsband des GMA-Fachausschusses 1.30 Modellbildung, Identifikation und Simulation in der Automatisierungstechnik, pp. 215-227, 2013.
[CA123] Reduced Basis Generation for Maxwell’s Equations by Rigorous Error Estimation
Martin W. Hess and Peter Benner
In Proceedings of 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), Paper PD2-10 (2 pp.), 2013.
[CA122] Second Order to Second Order Balancing for Index-1 Vibrational Systems
Peter Benner, Jens Saak, and M. Monir Uddin
In Proceedings of the 2012 7th International Conference on Electrical and Computer Engineering 20-22 December, 2012, Dhaka, Bangladesh, pp. 933-936, IEEE Publications, 2012. [ISBN: 978-1-4673-1436-7]
DOI: 10.1109/ICECE.2012.6471704
[CA121] Iterative Solvers for Periodic Matrix Equations and Model Reduction for Periodic Control Systems
Mohammad-Sahadet Hossain and Peter Benner
In Proceedings of the 2012 7th International Conference on Electrical and Computer Engineering 20-22 December, 2012, Dhaka, Bangladesh, pp. 791-794, IEEE Publications, 2012. [ISBN: 978-1-4673-1436-7]
DOI: 10.1109/ICECE.2012.6471669
[CA120] H-Norm Computation for Large and Sparse Descriptor Systems
Peter Benner and Matthias Voigt
Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 797–800, 2012.
DOI: 10.1002/pamm.201210383
[CA119] Avoiding Complex Arithmetic in the Low-Rank ADI Method Efficiently
Peter Benner, Patrick Kürschner, and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 639–640, 2012.
DOI: 10.1002/pamm.201210308
Extendend version available as MPI Magdeburg Preprint MPIMD/12-11, May 2012.
[CA118] The Reduced Basis Method for Time-Harmonic Maxwell's Equations
Peter Benner and Martin W. Hess
Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 661–662, 2012.
DOI: 10.1002/pamm.2012319
[CA117] Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems
Peter Benner, Burkhard Kranz, Jens Saak, and M. Monir Uddin
Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 699–700, 2012.
DOI: 10.1002/pamm.2012338
[CA116] MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations
Peter Benner and Sabine Hein
In System Modeling and Optimization. 25th IFIP TC 7 Conference, Berlin, Germany, September 12-16, 2011, Revised Selected Papers, IFIP AICT, Vol. 391, pp. 217-224, Springer-Verlag, Berlin/Heidelberg, 2013. [ISBN 978-3-642-36061-9]
DOI: 10.1007/978-3-642-36062-6_22
[CA115] Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils
Peter Benner and Matthias Voigt
In Proceedings of the 51st IEEE Conference on Decision and Control, December 10-13, 2012, Maui, HI, USA, pp. 6560-6565, IEEE Publications, 2012. [ISBN: 978-1-4673-2064-1]
© IEEE. DOI: 10.1109/CDC.2012.6426906
[CA114] High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In Proceedings of the 10th IEEE International Symposium on Parallel and Distributed Processing with Applications, Leganés, Madrid, 10-13 July 2012, IEEE Publications, pp. 662-668, 2012.
DOI: 10.1109/ISPA.2012.98
[CA113] New SLICOT Routines Based on Structured Eigensolvers (author's version)
Peter Benner, Daniel Kressner, and Vasile Sima
In Proceedings of the 2012 IEEE Multi-Conference on Systems and Control, October 3-5, 2012. Dubrovnik, Croatia, pp. 640-645, IEEE Publications, 2012.
DOI: 10.1109/CCA.2012.6402437
© IEEE.
[CA112] Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations
Peter Benner and Mohammad-Sahadet Hossain
In Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, IFAC Proceedings Volumes, Vol. 45, Issue 2, pp. 276-281, 2012.
DOI: 10.3182/20120215-3-AT-3016.00048
[CA111] A Goal-Oriented Dual LRCF-ADI for Balanced Truncation
Jens Saak, Peter Benner, and Patrick Kürschner
In Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, IFAC Proceedings Volumes, Vol. 45, Issue 2, pp. 752-757, 2012.
DOI: 10.3182/20120215-3-AT-3016.00133
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-01, January 2012.
[CA110] Improved Second-Order Balanced Truncation for Symmetric Systems
Peter Benner, Patrick Kürschner, and Jens Saak
In Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, IFAC Proceedings Volumes, Vol. 45, Issue 2, pp. 758-762, 2012.
DOI: 10.3182/20120215-3-AT-3016.00134
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-13, December 2011.
[CA109] Robust and Efficient Algorithms for L-Norm Computation for Descriptor Systems
Peter Benner, Vasile Sima, and Matthias Voigt
In Proceedings of 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, June 20-22, 2012, IFAC Proceedings Volumes, Vol. 45, Issue 13, pp. 195-200, 2012.
DOI: 10.3182/20120620-3-DK-2025.00114
[CA108] Efficient Optimization of Simulated Moving Bed Processes Using Reduced Order Models
Suzhou Li, Lihong Feng, Peter Benner, and Andreas Seidel-Morgenstern
In I. D. Lockhart Bogle and M. Fairweather (Eds.), Proceedings of the 22nd European Symposium on Computer Aided Process Engineering, Part-B, Vol. 30, pp. 1232-1236, Elsevier B.V., 2012. [ISBN: 978-0-444-59520-1]
DOI: 10.1016/B978-0-444-59520-1.50105-6
[CA107] L-Norm Computation for Discrete-Time Descriptor Systems
Peter Benner and Matthias Voigt
In O. Sawodny and J. Adamy (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshops in Anif, 21.-23. September 2011, pp. 228-240, 2011. [ISBN: 978-3-9815012-1-6]
[CA106] On H2-Model Reduction of Linear Parameter-Varying Systems
Peter Benner and Tobias Breiten
Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp. 805–806, 2011.
DOI: 10.1002/pamm.201110391
[CA105] Two-sided Harmonic Subspace Extractions for the Generalized Eigenvalue Problem
Peter Benner, Michiel Hochstenbach, and Patrick Kürschner
Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp.739–740, 2011.
DOI: 10.1002/pamm.201110359
[CA104] Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices
Peter Benner and Thomas Mach
Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp. 741–742, 2011.
DOI: 10.1002/pamm.201110360
[CA103] On the Computation of Particular Eigenvectors of Hamiltonian Matrix Pencils
Peter Benner and Matthias Voigt
Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp. 753–754, 2011.
DOI: 10.1002/pamm.201110366
[CA102] Accelerating BST Methods for Model Reduction with Graphics Processors
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In Parallel Processing and Applied 9th International Conference, PPAM 2011, Torun, Poland, September 11-14, 2011. Revised Selected Papers, Part I, Lecture Notes in Computer Science, Vol. 7203, pp. 549-558, Springer-Verlag, Berlin/Heidelberg, 2012.
DOI: 10.1007/978-3-642-31464-3_56
[CA101] High Performance Matrix Inversion of SPD Matrices on Graphics Processors
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In W. W. Smari (Ed.), Proceedings of the 2011 International Conference on High Performance Computing & Simulation (HPCS 2011), pp. 640-646, IEEE Publications, 2011. [ISBN: 978-1-61284-382-7]
DOI: 10.1109/HPCSim.2011.5999887
[CA100] Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations
Peter Benner and Tobias Breiten
In M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (Eds.), Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Vol. 17, pp. 153-159, Springer-Verlag, Berlin, 2012. [ISBN 978-3-642-25099-6]
DOI: 10.1007/978-3-642-25100-9_18
[CA99] Model Reduction for Linear Descriptor Systems with Many Ports
Peter Benner und André Schneider
In M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (Eds.), Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Vol. 17, pp. 137-143, Springer-Verlag, Berlin, 2012. [ISBN 978-3-642-25099-6]
DOI: 10.1007/978-3-642-25100-9_16
[CA98] Some Remarks on A Priori Error Estimation for ESVDMOR
Peter Benner and André Schneider
In B. Michielsen and J.-R. Poirier (Eds.), Scientific Computing in Electrical Engineering SCEE 2010, Mathematics in Industry, Vol. 16, pp. 15-23, Springer-Verlag, Berlin, 2012. [ISBN 978-3-642-22452-2]
DOI: 10.1007/978-3-642-22453-9_2
[CA97] Damping Optimization for Linear Vibrating Systems Using Dimension Reduction
Peter Benner, Zoran Tomljanović, and Ninoslav Truhar
In J. Náprstek, J. Horáček, M. Okrouhlík, B. Marvalová, F. Verhulst, and J.T. Sawicki (Eds.), Vibration Problems ICOVP 2011. The 10th International Conference on Vibration Problems, Springer Proceedings in Physics, Vol. 139, Springer-Verlag, pp. 297-305, 2011. [ISBN: 978-94-007-2068-8]
DOI: 10.1007/978-94-007-2069-5_41
[CA96] Accelerating Model Reduction of Large Linear Systems with Graphics Processors
Peter Benner, Pablo Ezzatti, Daniel Kressner, Enrique S. Quintana-Ortí, and Alfredo Remón
In K. Jónasson (Ed.), Applied Parallel and Scientific Computing. 10th International Conference, PARA 2010, Reykjavík, Iceland, June 6-9, 2010, Revised Selected Papers, Part II, Lecture Notes in Computer Science, Vol. 7134, pp. 88-97, Springer-Verlag, Berlin/Heidelberg, 2012. [ISBN 978-3-642-28144-0]
DOI: 10.1007/978-3-642-28145-7_9
[CA95] Solving Differential Riccati Equations on Multi-GPU Platforms
Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón
In J. Vigo-Aguilar (Ed.), Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2011, Vol. 1, pp. 178-188, 2011. [ISBN: 978-84-614-6167-7]
[CA94] Modern Model Reduction of Elastic Components for the Simulation og flexible Multibody Systems [in German]
Christine Nowakowski, Peter Eberhard, Patrick Kürschner, Peter Benner, Gerald Ochse, and Gunter Knoll
In Tagungsband zur FVV Frühjahrstagung 2011, Forschungsvereinigung Verbrennungskraftmaschinen e.V., Frankfurt a.M., Issue R553, pp. 175-197, 2011.
[CA93] Model Order Reduction of Large-Scale Dynamical Systems with Jacobi-Davidson Style Eigensolvers
Peter Benner, Michiel E. Hochstenbach, and Patrick Kürschner
In Proceedings of the 2011 International Conference on Communications, Computing and Control Applications (CCCA’11), March 3-5, 2011 at Hammamet, Tunisia, IEEE Publications (6 pages), 2011.
DOI: 10.1109/CCCA.2011.6031208
[CA92] Modern Methods for Model Order Reduction of Finite Element Models for the Simulation of Machine Tools [in German]
Thomas Bonin, Andreas Soppa, Jens Saak, Michael Zäh, Heike Faßbender, and Peter Benner
In T. Bertram and B. Corves (Eds.), Tagungsband der VDI-Fachtagung Mechatronik 2011, 31.3-1.4.2011, Dresden, pp. 333-338, TU Dresden, 2011. [ISBN: 978-3-00-033892-2]
[CA91] Suboptimality Estimates for the Semi-Discretized LQR Problem for Parabolic PDEs
Peter Benner and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 10, Issue 1, pp. 591–592, 2010.
DOI: 10.1002/pamm.201010288.
[CA90] Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete-Time Control Systems
Peter Benner, Tobias Breiten, and Tobias Damm
Proceedings in Applied Mathematics and Mechanics, Vol. 10, pp. 601-602, 2010.
DOI: 10.1002/pamm.201010293.
[CA89] Nonlinear Model Order Reduction via Quadratic Bilinear Differential Algebraic Equations
Tobias Breiten and Peter Benner
In B. Lohmann and A. Kugi (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshops in Anif, 22.-24. September 2010, pp. 138-153, 2010. [ISBN: 978-3-9502451-7-2]
[CA88] On Stability, Passivity and Reciprocity Preservation of ESVDMOR
Peter Benner and André Schneider
In P. Benner, M. Hinze, E. Jan W. ter Maten (Eds.), Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Vol. 74, pp. 277-288, Springer-Verlag, Dordrecht, 2011. [ISBN: 978-94-007-0088-8]
DOI: 0.1007/978-94-007-0089-5_16.
[CA87] Recycling Krylov Subspaces for Solving Linear Systems with Successively Changing Right-hand Sides Arising in Model Reduction
Peter Benner and Lihong Feng
In P. Benner, M. Hinze, E. Jan W. ter Maten (Eds.), Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Vol. 74, pp. 125-140, Springer-Verlag, Dordrecht, 2011. [ISBN: 978-94-007-0088-8]
DOI: 10.1007/978-94-007-0089-5_6.
[CA86] Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs
Peter Benner and André Schneider
In András Edelmayer (Ed.), Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 5-9 July, 2010, Budapest, Hungary, pp. 1971-1974, 2010. [ISBN: 978-963-311-370-7]
[CA85] Numerical Solution of Differential Riccati Equations on Hybrid CPU-GPU Platforms
Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón
In Proceedings of ALAMA2010 - 2nd Meeting on Linear Algebra, Matrix Analysis, and Applications, Valencia, June 2nd-4th, 2010, 7 pages, 2010. [ISBN: 978-84-8363-544-5]
[CA84] H Control for Descriptor Systems - a Pencil Based Approach
Peter Benner and Philip Losse
Proceedings in Applied Mathematics and Mechanics, Vol. 9, pp. 645-646, 2009.
DOI: 10.1002/pamm.200910292.
[CA83] b>Computing the Eigenvalues of Hierarchical Matrices by LR-Cholesky Transformations
Peter Benner and Thomas Mach
Mathematisches Forschungsinstitut Oberwolfach, Report No. 37/2009, pp. 2107-2109, 2009.
DOI: 10.4171/OWR/2009/37.
[CA82] Model Reduction of Periodic Descriptor Systems Using Balanced Truncation
Peter Benner, Mohammad-Sahadet Hossain, and Tatjana Stykel
In P. Benner, M. Hinze, E. Jan W. ter Maten (Eds.) Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Vol. 74, pp. 193-206, Springer-Verlag, Dordrecht, 2011.
DOI: 10.1007/978-94-007-0089-5_11.
Note: This is a corrected version, there is a typo on p. 196 in the book: In the definition of Pr(k), nk+1 should be nk!
[CA81] Novel Model Reduction Techniques for Control of Machine Tools
Peter Benner, Thomas Bonin, Heike Faßbender, Jens Saak, Andreas Soppa, and Michael Zaeh
In Proceedings of the ANSYS Conference & 27. CADFEM Users' Meeting 2009, 18.-20. November 2009, Congress Center Leipzig, paper 2.9.18 (10 pages), 2009.
[CA80] Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In H.-X. Lin, M. Alexander, M. Forsell, A. Knüpfer, R. Prodan, L. Sousa, and A. Streit (Eds.) Euro-Par 2009, Parallel Processing - Workshops., Lecture Notes in Computer Science, Vol. 6043, pp. 132-139, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-14122-5_17.
[CA79] Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design
Peter Benner and Sabine Hein
Proceedings in Applied Mathematics and Mechanics, Vol. 9, pp. 613-614, 2009.
DOI: 10.1002/pamm.200910278.
[CA78] Parametric Model Order Reduction Accelerated by Subspace Recycling
Lihong Feng, Peter Benner, and Jan G. Korvink
In Proceedings of 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, P.R. China, December 16-18, 2009, pp. 4328-4333, 2009.
DOI: 10.1109/CDC.2009.5399717.
[CA77] System-Theoretic Methods for Model Reduction of Large-Scale Systems: Simulation, Control, and Inverse Problems
Peter Benner
In I. Troch and F. Breitenecker (Eds.), Proceedings of MathMod 2009, Vienna, February 11-13, 2009, ARGESIM Report no. 35, pp. 126-145, 2009. [ISBN: 978-3-901608-35-3]
[CA76] Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools
Peter Benner and Jens Saak
In I. Troch and F. Breitenecker (Eds.), Proceedings of MathMod 2009, Vienna, February 11-13, 2009, ARGESIM Report no. 35, pp. 1232-1243, 2009. [ISBN: 978-3-901608-35-3]
[CA75] Advances in Balancing-Related Model Reduction for Circuit Simulation
Peter Benner
In J. Roos and L.R.J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 469-482, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-12294-1_58.
[CA74] Model Order and Terminal Reduction Approaches via Matrix Decomposition and Low Rank Approximation
Peter Benner and André Schneider
In J. Roos and L.R.J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 523-530, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-12294-1_64.
[CA73] Model Order Reduction for Systems with Non-Rational Transfer Function Arising in Computational Electromagnetics
Lihong Feng and Peter Benner
In J. Roos and L.R.J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 515-522, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-12294-1_63.
[CA72] Efficient Solution of Large Scale Lyapunov and Riccati Equations Arising in Model Order Reduction Problems
Jens Saak and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 8, No. 1, pp. 10085-10088, 2008.
DOI: 10.1002/pamm.200810085
[CA71] Projection-Based Model Reduction for LTV Descriptor System Using Multipoint Krylov-Subspace Projectors
Mohammad-Sahadet Hossain and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 8, No. 1, pp. 10081-10084, 2008.
DOI: 10.1002/pamm.200810081
[CA70] Flow Stabilisation by Dirichlet Boundary Control
René Schneider, Tobias Rothaug, and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 8, No. 1, pp. 10961-10962, 2008.
DOI: 10.1002/pamm.200810961
[CA69] Parametric Model Reduction with Sparse Grids
Ulrike Baur and Peter Benner
In B. Lohmann and A. Kugi (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshop in Anif, 24.-26.9.2008, pp. 262-271, 2008. [ISBN: 978-3-9502451-3-4]
[CA68] Numerical Solution of Differential Riccati Equations Arising in Optimal Control for Parabolic PDEs
Hermann Mena and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1, pp. 2060063-2060064, 2007.
DOI: 10.1002/pamm.200700913
[CA67] A Robust Algorithm for Parametric Model Order Reduction
Lihong Feng and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1, pp. 1021501-1021502, 2007.
DOI: 10.1002/pamm.200700749
[CA66] Efficient Solution of Algebraic Bernoulli Equations Using H-Matrix Arithmetic
Ulrike Baur and Peter Benner
In K. Kunisch, G. Of, O. Steinbach (Eds.), 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, Springer-Verlag, Heidelberg, 2008. [ISBN: 978-3-540-69776-3]
DOI: 10.1007/978-3-540-69777-0_14
[CA65] Application of LQR Techniques to the Adaptive Control of Quasilinear Parabolic PDEs
Jens Saak and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1, pp. 2060013-2060014, 2007.
DOI: 10.1002/pamm.200700240
[CA64] Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems
José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, and Alfredo Remón
In I. Lirkov, S. Margenov, J. Waniewski (Eds.), Large-Scale Scientific Computing. 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007, Revised Papers, Lecture Notes in Computer Science, Vol. 4818, pp. 227-234, Springer-Verlag, Berlin, Heidelberg, New York, 2008. [ISBN: 978-3-540-78825-6]
DOI: 10.1007/978-3-540-78827-0_24
[CA63] γ-Iteration for Descriptor Systems Using Structured Matrix Pencils
Peter Benner, Philip Losse, Volker Mehrmann, Lisa Poppe, and Timo Reis
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 (CD Rom), 11 pages, 2008.
[CA62] Using the Superposition Property for Model Reduction of Linear Systems with a Large Number of Inputs
Peter Benner, Lihong Feng, and Evgenii B. Rudnyi
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 (CD Rom), 12 pages, 2008.
[CA61] Experimental evaluation of new SLICOT solvers for linear matrix equations based on the matrix sign function
Vasile Sima and Peter Benner
In Proceedings of 2008 IEEE Multi-conference on Systems and Control. 9th IEEE International Symposium on Computer-Aided Control Systems Design (CACSD), Hilton Palacio del Rio Hotel, San Antonio, Texas, U.S.A., September 3-5, 2008, S. 601-606, Omnipress, Madison, WI, 2008. [ISBN: 978-1-4244-2223-4]
DOI: 10.1109/CACSD.2008.4627361
[CA60] Strategies for Parallelizing the Solution of Rational Matrix Equations
José M. Badía, Peter Benner, Maribel Castillo, Heike Faßbender, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In C. Bischof, M. Bücker, P. Gibbon, G.R. Joubert, T. Lippert, B. Mohr, and F. Peters (Eds.), Parallel Computing: Architectures, Algorithms and Applications. Proceedings of the International Conference ParCo 2007, NIC Series Volume 38, pp. 255-262, John von Neumann-Institut für Computing, Jülich, Germany, 2007. [ISBN: 978-3-9810843-4-4]
[CA59] Parametrische Modellreduktion durch impliziten Momentenabgleich (Parametric Model Reduction by Implicit Moment Matching) [German]
Lihong Feng and Peter Benner
In B. Lohmann and A. Kugi (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshop in Anif, 26.-28.9.2007, pp. 34-47, 2007. [ISBN: 978-3-9502451-1-0]
[CA58] A Note on Projection Techniques for Model Order Reduction of Bilinear Systems
Lihong Feng and Peter Benner
In Theodore E. Simos, George Psihoyios, and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, International Conference of Numerical Analysis and Applied Mathematics. Corfu, September 16-21, 2007, AIP Conference Proceedings Vol. 936, pp. 208-211, Melville NY: AIP, 2007. [ISBN: 978-0-7354-0447-2]
DOI: 10.1063/1.2790110
[CA57] Fast System Identification and Model Reduction Solvers
Vasile Sima and Peter Benner
In B. R. Andrievsky and A.L. Fradkov (Eds.), Proceedings of the 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing" (ALCOSP 2007)}, August, 29-31, 2007, Saint Petersburg, Russia, IFAC-PapersOnlineElsevier, 477-482, 2007.
DOI: 10.3182/20070829-3-RU-4911.00074
Retrieve local copy.
[CA56] MPC für nichtlineare partielle Differentialgleichungen parabolischen Typs (MPC for nonlinear partial differential equations of parabolic type) [German]
Peter Benner and Sabine Görner
In Tagungsband GMA-FA 1.40 "Theoretische Verfahren der Regelungstheorie" und GAMM-FA "Dynamik und Regelungstheorie", Workshops am Bostalsee, 24.-27.9.2006, pp. 91-101, 2006. [ISBN: 978-3-9810664-2-5]
[CA55] MPC for the Burgers Equation Based on an LQG Design
Peter Benner and Sabine Görner
Proceedings in Applied Mathematics and Mechanics, Vol. 6, No. 1, pp. 781-782, 2006.
DOI: 10.1002/pamm.200610371
[CA54]  Passivity Preserving Model Reduction via a Structured Lanczos Method
Peter Benner and Heike Faßbender
Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6, 2006, pp. 8-13, IEEE 2006. [ISBN: 0-7803-9797-5]
DOI: 10.1109/CACSD-CCA-ISIC.2006.4776616
[CA53]  A MATLAB Repository for Model Reduction Based on Spectral Projection
Peter Benner
Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6, 2006, pp. 19-24, IEEE 2006. [ISBN: 0-7803-9797-5]
DOI: 10.1109/CACSD-CCA-ISIC.2006.4776618
The corresponding software is (partially) available here.
[CA52] Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations
José M. Badía, Peter Benner, Rafael Mayo and Enrique S. Quintana-Ortí
In W. E. Nagel, W. V. Walter, and W. Lehner (Eds.), Euro-Par 2006 Parallel Processing: 12th International Euro-Par Conference, Lecture Notes in Computer Science, Vol. 4128, pp. 710-719. Springer-Verlag, Berlin, Heidelberg, New York, 2006.
DOI: 10.1007/11823285_74
[CA51]  A Numerical Algorithm for Robust Stabilization of Systems with Sector-Bounded Nonlinearity
Peter Benner
IFAC PapersOnline, Vol. 39, Issue 9, pp. 513-518, 2006.
DOI: 10.3182/20060705-3-FR-2907.00088
[CA50]  A SLICOT Implementation of a Modified Newton's Method for Algebraic Riccati Equations
Vasile Sima and Peter Benner
Proceedings of the 14th Mediterranean Conference on Control and Automation MED06, June 28-30, 2006, Ancona - Università Politecnica delle Marche, Italy (CD-ROM) (6 pages). [ISBN: 0-9786720-0-3]
DOI: 10.1109/MED.2006.328740
[CA49] Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems
Sergio Barrachina, Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, pp. 2248-2253, 2005. [ISBN: 0-7803-9568-9]
DOI: 10.1109/CDC.2005.1582496
[CA48] New Hamiltonian Eigensolvers with Applications in Control
Peter Benner and Daniel Kressner
In Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, pp. 6551-6556, 2005. [ISBN: 0-7803-9568-9]
DOI: 10.1109/CDC.2005.1583213
See also: Preprint #240, DFG Research Center MATHEON, Berlin, March 2005.
[CA47] Passivitätserhaltende Modellreduktion mit Balancierungstechniken (in German)
Peter Benner
In Tagungsband GMA-FA 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Workshop am Bostalsee, 28.-30.9.2005, pp. 152-168, 2005. [ISBN: 3-9810664-1-3]
[CA46] Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles
José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí Gregorio Quintana-Ortí, and Jens Saak
In J.C. Cunha, P.D. Mdeiros (Eds.), Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference, Lisbon, Portugal, August 30 - September 2, 2005, Lecture Notes in Computer Science, Vol. 3648, pp. 857-866, Springer-Verlag, Berlin, Heidelberg, New York, 2005.
DOI: 10.1007/11549468_93
See also: Preprint SFB393/05-02, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, January 2005.
[CA45] Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method
Sergio Barrachina, Peter Benner, and Enrique S. Quintana-Ortí
In T. Skeie, C.-S. Yang (Eds.), Proceedings of the 2005 International Conference on Parallel Processing Workshops, 14-17 June 2005, Oslo, Norway), pp. 189-193, IEEE Computer Society Press, 2005. [ISBN: 0-7695-2381-1]
DOI: 10.1109/ICPPW.2005.68
[CA44] A New Test for Passivity of Descriptor Systems
Peter Benner and Delin Chu
Oberwolfach Reports, Vol. 2, No. 1, pp. 571-574, 2005.
[CA43] Efficient numerical solution of the LQR-problem for the heat equation
Peter Benner and Jens Saak
Proceedings in Applied Mathematics and Mechanics, Vol. 4, No. 1, pp. 648-649, 2004.
DOI: 10.1002/pamm.200410305
[CA42] Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems
José Manuel Badía, Peter Benner, Rafael Mayo, and Enrique S. Quintana-Ortí
In J. Dongarra, K. Madsen, J. Wasniewski (Eds.), Applied Parallel Computing: 7th International Conference, PARA 2004, Lyngby, Denmark, June 20-23, 2004. Revised Selected Papers, Lecture Notes in Computer Science, Springer-Verlag, Vol. 3732, pp. 267-275, 2006. [ISBN: 3-540-29067-4]
Original available from SpringerLink, DOI: 10.1007/11558958_32
[CA41] Factorized solution of the Lyapunov equation by using the hierarchical matrix arithmetic
Ulrike Baur and Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 4, No. 1, pp. 658-659, 2004.
DOI: 10.1002/pamm.200410310
[CA40] A Robust Numerical Method for Optimal H_inf Control
Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu
Proceedings 43rd IEEE Conference on Decision and Control CDC2004, pp. 424-425, Omnipress, Madison, WI, 2004. [ISBN: 0-7803-8683-3]
Very short version of [TR13].
[CA39] Computing Optimal Hankel Norm Approximations of Large-Scale Systems
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
Proceedings of 43rd IEEE Conference on Decision and Control CDC2004, pp. 3078-3083, Omnipress, Madison, WI, 2004. [ISBN: 0-7803-8683-3]
DOI: 10.1109/CDC.2004.1428939
The retrievable version is Preprint #116, DFG Research Center "Mathematics for Key Technologies", Berlin, April 2004.
[CA38] Computing Passive Reduced-Order Models for Circuit Simulation
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In Proceedings International Conference on Parallel Computing in Electrical Engeneering PARELEC 2004, pp. 146-151, IEEE Computer Society, Los Alamitos, CA, 2004. [ISBN: 0-7695-2080-4]
DOI: 10.1109/PCEE.2004.21
[CA37] Factorized Solution of Sylvester Equations with Applications in Control
Peter Benner
In B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel (Eds.), Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems, MTNS 2004, Leuven, Belgium, July 5-9, 2004.
[CA36] BDF Methods for Large-Scale Differential Riccati Equations
Peter Benner and Hermann Mena
In B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel (Eds.), Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems, MTNS 2004, Leuven, Belgium, July 5-9, 2004.
[CA35] Parallel Model Reduction of Large-Scale Linear Descriptor Systems via Balanced Truncation
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In M. Daydé, J.J. Dongarra, V. Hernández, J.M.L.M. Palma (Eds.), High Performance Computing for Computational Science - VECPAR 2004, Lecture Notes in Computer Science, No. 3402, pp. 340-353, Springer-Verlag, Berlin/Heidelberg 2005. [ISBN: 3-540-25424-2]
[CA34] A Structure-Preserving Method for Generalized Algebraic Riccati Equations Based on Pencil Arithmetic
Ralph Byers and Peter Benner
Proceedings of the European Control Conference ECC'03, September 1-4, 2003, Cambridge, UK. (CD Rom).
[CA33] Solving Linear Matrix Equations with SLICOT
Vasile Sima and Peter Benner
Proceedings of the European Control Conference ECC'03, September 1-4, 2003, Cambridge, UK. (CD Rom).
[CA32] Parallel Model Reduction of Large-Scale Unstable Systems
Peter Benner, Maribel Castillo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In G.R. Joubert, W.E. Nagel, F.J. Peters, W.V Walter (Eds.), Parallel computing: Software Technology, Algorithms, Architectures & Applications, Advances in Parallel Computing, Vol. 13, pp. 251-258, Elsevier B.V (North-Holland), 2004. [ISBN: 0-444-51689-1]
[CA31] Solving Algebraic Riccati Equations with SLICOT
Peter Benner and Vasile Sima
Proceedings of the 11th Mediterranean Conference on Control & Automation MED'03, June 18-20, 2003, Rhodes (CD Rom), paper IV01-1 (6 pages), 2003.
[CA30] A Service for Remote Model Reduction of Very Large Linear Systems
Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí and Gregorio Quintana-Ortí
In Proceedings of 17th International Parallel & Distributed Processing Symposium (IPDPS 2003), paper W16-PDSECA-22, 6 pages. IEEE Computer Society Press, 2003. [ISBN: 0-7695-1926-1]
DOI: 10.1109/IPDPS.2003.1213474
[CA29] Partial Stabilization of Generalized State-Space Systems Using the Disk Function Method
Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 2, No. 1, pp. 479-480, 2003.
DOI: 10.1002/pamm.200310222
[CA28] Solving Large Sparse Lyapunov Equations on Parallel Computers
José Manuel Badía, Peter Benner, Rafael Mayo, and Enrique S. Quintana-Ortí
In B. Monien, R. Feldmann (Eds.), Euro-Par 2002 Parallel Processing, Lecture Notes in Computer Science, No. 2400, pp. 687-690, Springer-Verlag, 2002. [ISBN: 3-540-44049-6]
DOI: 10.1007/3-540-45706-2_95
[CA27] A Sparse Approximate Inverse Preconditioner for the Method of Moments Accelerated with the Multilevel Fast Multipole Method
Peter Benner, Martin Brüning, Angelika Bunse-Gerstner, Rainer Bunger, Jan M. Reiter, and Jan Ritter
Proceedings of 2002 IEEE Intl. Symp. on Antennas & Propagation and USN/URSI Meeting, June 16-21, 2002, San Antonio, Texas, pp. 602-605.
DOI: 10.1109/APS.2002.1016157
[CA26] A Web Service for Model Reduction of Large-Scale Linear Systems on a Cluster
José Manuel Badía, Peter Benner, Maribel Castillo, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
Proceedings of XIII Jornadas de Paralelismo, Lleida (Spain), pp. 383-388, 2002. [ISBN: 84-8409-159-7]
[CA25] Remote Parallel Model Reduction of Linear Time-Invariant Systems Made Easy
Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In J.M.L.M. Palma, V. Hernández, J.J. Dongarra, and A.A. Sousa (Eds.), High Performance Computing for Computational Science - VECPAR 2002, Lecture Notes in Computer Science, Springer-Verlag, No. 2565, pp. 255-268, 2003. [ISBN: 3-540-00852-7]
DOI: 10.1007/3-540-36569-9_16
Version in on-site conference proceedings:
A Mail Service for Parallel Model Reduction of Linear Time-Invariant Systems
Proceedings of VECPAR'02, 5th Intl. Meeting on High-Performance Computing for Computational Science, Porto, Portugal, June 26-28, 2002, pp. 735-746.
[CA24] Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems
Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In J. Fagerholm, J. Haataja, J. Järvinen, M. Lyly, P. Raback, and V. Savolainen (Eds.), Applied Parallel Computing. PARA'02 6th International Conference, Espoo (Finland), 2002, Lecture Notes in Computer Science, No. 2367, pp. 329-338, Springer-Verlag, 2002. [ISBN: 3-540-43786-X]
DOI: 10.1007/3-540-48051-X_33
[CA23] A Coarse-Grain Parallel Solver for Riccati Equations
Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Vicente Hernández
In G.R. Joubert, A. Murli, F.J. Peters, M. Vanesschi (Eds.), Parallel Computing. Advances and Current Issues. Proceedings of the International Conference ParCo2001, pp. 274-281, Imperial College Press, London, UK, 2002. [ISBN: 1-86094-315-2]
[CA22] Efficient Algorithms for Large-Scale Quadratic Matrix Equations
Peter Benner
Proceedings in Applied Mathematics and Mechanics, Vol. 1, No. 1, pp. 492-495, 2002.
[CA21] Computing Roots of Matrix Products
Peter Benner and Heike Faßbender
Zeitschrift für angewandte Mathematik und Mechanik, Vol. 81, Suppl. 3, pp. S717-S718, 2001.
[CA20] On a Numerical Method for the Regularization of Descriptor Systems
Peter Benner
Zeitschrift für angewandte Mathematik und Mechanik, Vol. 81, Suppl. 3, pp. S707-S708, 2001.
[CA19] Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems
Peter Benner, Maribel Castillo, and Enrique S. Quintana-Ortí
Proceedings of the 2001 ICPP Workshops (Workshop on High Performance Scientific and Engineering Computing with Applications), Valencia, September 3-7, 2001, pp. 93-98, IEEE Computer Society Press, Los Alamitos, CA, 2001. [ISBN: 0-7695-1260-7]
DOI: 10.1109/ICPPW.2001.951856
[CA18] PSLICOT Routines for Model Reduction of Stable Large-Scale Systems
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
Proceedings of the Third NICONET Workshop on Numerical Software in Control Engineering, Louvain-la-Neuve, Belgium, January 19, 2001, pp. 39-44.
[CA17] Model Reduction of Large-Scale Dense Systems
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
Proceedings of the IEE UKACC International Conference CONTROL 2000, Cambridge, UK, 4-7 September 2000, IEE ZZ057 (CD Rom), 2000. [ISBN: 0-85296-240-1]
[CA16] Singular Perturbation Approximation of Large, Dense Linear Systems
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
Proceedings of the 2000 IEEE International Symposium on Computer Aided Control System Design, Anchorage, Alaska, USA, September 25-27, 2000, pp. 255-260. Omnipress, Madison, WI, 2000.
DOI: 10.1109/CACSD.2000.900220
[CA15] Solving Discrete-Time Periodic Riccati Equations on a Cluster
Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí and Vicente Hernández
In A. Bode, T. Ludwig, W. Karl, and R. Wismüller (Eds.), Euro-Par 2000 Parallel Processing, Lecture Notes in Computer Science, No. 1900, pp. 824-828, Springer-Verlag, 2000. [ISBN: 3-540-67956-1]
DOI: 10.1007/3-540-44520-X_113
[CA14] Efficient Numerical Model Reduction Methods for Discrete-Time Systems
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In I. Troch, F. Breitenecker (Eds.), Proceedings of the IMACS Symposium on Mathematical Modelling, 3rd MATHMOD Vienna, Vienna University of Technology, Austria, February 2-4, 2000, Vol. 1, pp. 277-280, ARGESIM Reports No. 15. [ISBN: 3-901608-15-X]
[CA13] Arithmetic for Rectangular Matrix Pencils
Peter Benner and Ralph Byers
In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 75-80. [ISBN: 0-7803-5449-4]
DOI: 10.1109/CACSD.1999.808627
[CA12] Numerical Solution of Linear-Quadratic Control Problems for Descriptor Systems
Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu
In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 46-51. [ISBN: 0-7803-5449-4]
DOI: 10.1109/CACSD.1999.808622
[CA11] Solving Linear and Quadratic Matrix Equations on Distributed Memory Parallel Computers
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 64-69. [ISBN: 0-7803-5449-4]
DOI: 10.1109/CACSD.1999.808625
[CA10] Initializing Newton's Method for Discrete-Time Algebraic Riccati Equations Using the Butterfly SZ Algorithm
Peter Benner and Heike Faßbender
In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 70-74. [ISBN: 0-7803-5449-4]
DOI: 10.1109/CACSD.1999.808626
[CA9] Solving Stable Stein Equations on Distributed Memory Computers
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In P. Amestoy, P. Berger, M. Daydé, I. Duff, V. Frayssé, L. Giraud and D. Ruiz (Eds.), EuroPar'99 Parallel Processing, Lecture Notes in Computer Science, No. 1685, Springer-Verlag, 1999, pp. 1120-1123. [ISBN 3-540-66443-2]
DOI: 10.1007/3-540-48311-X_156
[CA8] Accelerating Newton's Method for Discrete-Time Algebraic Riccati Equations
Peter Benner
In A. Beghi, L. Finesso, and G. Picci (Eds.), Mathematical Theory of Networks and Systems. Proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998, pp. 569-572, Il Poligrafo, Padova, 1998. [ISBN: 88-7115-117-8]
[CA7] An Arithmetic for Matrix Pencils
Peter Benner and Ralph Byers
In A. Beghi, L. Finesso, and G. Picci (Eds.), Mathematical Theory of Networks and Systems. Proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998, pp. 573-576, Il Poligrafo, Padova, 1998. [ISBN: 88-7115-117-8]
[CA6] Improving the efficiency and accuracy of the MATLAB Control Toolbox using SLICOT-based gateways
Vasile Sima, Peter Benner, Sabine Van Huffel, and Andras Varga
In A. Beghi, L. Finesso, and G. Picci (Eds.), Mathematical Theory of Networks and Systems. Proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998, pp. 673-676, Il Poligrafo, Padova, 1998. [ISBN: 88-7115-117-8]
[CA5] Efficient Solution of Coupled Lyapunov Equations via Matrix Sign Function Iteration.
Peter Benner, José M. Claver, and Enrique S. Quintana-Ortí
Proceedings of the 3rd Portuguese Conference on Automatic Control CONTROLO'98, Coimbra, September 9-11, 1998, pp. 205-210.
[CA4] Numerical Solution of Special Algebraic Riccati Equations via an Exact Line Search Method
Peter Benner
Proceedings of the European Control Conference ECC97 (CD-ROM), Paper 786, BELWARE Information Technology, Waterloo (B), 1997.
[CA3] A New Method for the Hamiltonian Eigenvalue Problem
Peter Benner, Volker Mehrmann, and Hongguo Xu
Proceedings of the European Control Conference ECC97(CD-ROM), Paper 785, BELWARE Information Technology, Waterloo (B), 1997.
[CA2] Disk Functions and their Relationship to the Matrix Sign Function
Peter Benner and Ralph Byers
Proceedings of the European Control Conference ECC97 (CD-ROM), Paper 936, BELWARE Information Technology, Waterloo (B), 1997.
[CA1] Step Size Control for Newton's Method Applied to Algebraic Riccati Equations
Peter Benner and Ralph Byers
Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, pp. 177-181, SIAM, Philadelphia, 1994.