Publications of Patrick Kürschner

Benner, P., Bujanović, Z., Kürschner, P., & Saak, J. (2020)A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR ProblemsSIAM Journal on Scientific Computing, 42 (2), A957–A996doi: 10.1137/18M1220960.

Benner, P., Bujanović, Z., Kürschner, P., & Saak, J. (2018)RADI: a Low-Rank ADI-Type Algorithm for Large Scale Algebraic Riccati EquationsNumerische Mathematik, 138 (2), 301–330doi: 10.1007/s00211-017-0907-5.

Freitag, M. A., Kürschner, P., & Pestana, J. (2018)GMRES Convergence Bounds for Eigenvalue ProblemsComputational Methods in Applied Mathematics, 18 (2), 203–222doi: 10.1515/cmam-2017-0017.

Kürschner, P. (2018)Balanced Truncation Model Order Reduction in Limited Time Intervals for Large SystemsAdvances in Computational Mathematics, 44 (6), 1821–1844doi: 10.1007/s10444-018-9608-6.

Redmann, M. & Kürschner, P. (2018)An Output Error Bound for Time-Limited Balanced TruncationSystems & Control Letters, 121, 1–6doi: 10.1016/j.sysconle.2018.08.004.

Benner, P., Kürschner, P., & Saak, J. (2016)Low-Rank Newton-ADI Methods for Large Nonsymmetric Algebraic Riccati EquationsJournal of the Franklin Institute, 353 (5), 1147–1167doi: 10.1016/j.jfranklin.2015.04.016.

Benner, P., Kürschner, P., & Saak, J. (2016)Frequency-Limited Balanced Truncation with Low-Rank ApproximationsSIAM Journal on Scientific Computing, 38 (1), A471–A499doi: 10.1137/15M1030911.

Benner, P., Kürschner, P., Tomljanović, Z., & Truhar, N. (2016)Semi-Active Damping Optimization of Vibrational Systems using the Parametric Dominant Pole AlgorithmZeitschrift für Angewandte Mathematik und Mechanik, 96 (5), 604–619doi: 10.1002/zamm.201400158.

Freitag, M. A. & Kürschner, P. (2015)Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iterationNumerical Linear Algebra with Applications, 22 (1), 175–196doi: 10.1002/nla.1945.

Benner, P. & Kürschner, P. (2014)Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI MethodComputers and Mathematics with Applications, 67 (9), 1656–1672doi: 10.1016/j.camwa.2014.03.004.

Benner, P., Kürschner, P., & Saak, J. (2014)Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester EquationsElectronic Transactions on Numerical Analysis, 43, 142–162doi: 10.17617/2.2071065.

Benner, P., Kürschner, P., & Saak, J. (2013)Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI methodNumerical Algorithms, 62 (2), 225–251doi: 10.1007/s11075-012-9569-7.

Benner, P., Kürschner, P., & Saak, J. (2013)An Improved Numerical Method for Balanced Truncation for Symmetric Second-Order SystemsMathematical and Computer Modelling of Dynamical Systems, 19 (6), 593–615doi: 10.1080/13873954.2013.794363.

Nowakowski, C., Kürschner, P., Eberhard, P., & Benner, P. (2013)Model Reduction of an Elastic Crankshaft for Elastic Multibody SimulationsZeitschrift für Angewandte Mathematik und Mechanik, 93 (4), 198–216doi: 10.1002/zamm.201200054.

Benner, P., Kürschner, P., & Saak, J. (2013)A Reformulated Low-Rank ADI Iteration with Explicit Residual FactorsIn: Proceedings in Applied Mathematics and Mechanics, 585–586doi: 10.1002/pamm.201310273.

Benner, P., Kürschner, P., & Saak, J. (2012)Improved Second-Order Balanced Truncation for Symmetric SystemsIn: IFAC Proceedings Volumes, 758–762doi: 10.3182/20120215-3-AT-3016.00134.

Benner, P., Kürschner, P., & Saak, J. (2012)Avoiding Complex Arithmetic in the Low-Rank ADI Method EfficientlyIn: Proceedings in Applied Mathematics and Mechanics, 639–640doi: 10.1002/pamm.201210308.

Saak, J., Benner, P., & Kürschner, P. (2012)A Goal-Oriented Dual LRCF-ADI for Balanced TruncationIn: IFAC Proceedings Volumes, 752–757doi: 10.3182/20120215-3-AT-3016.00133.

Benner, P., Eberhard, P., Knoll, G., Kürschner, P., Nowakowski, C., & Ochse, G. (2011)Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler MehrkörpersystemeIn: Informationstagung Motoren: Frühjahrstagung 2011, 175–197.

Benner, P., Hochstenbach, M. E., & Kürschner, P. (2011)Model Order Reduction of Large-Scale Dynamical Systems with Jacobi-Davidson Style EigensolversIn: 2011 International Conference on Communications, Computing and Control Applications (CCCA 2011), 1–6doi: 10.1109/CCCA.2011.6031208.