Patrick Kürschner

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Peter BennerMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Jens SaakSenior Scientist, Max Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Zvonimir BujanovićUniversity of Zagreb, Faculty of Science, Dept. of MathematicsVerified email at math.pmf.unizg.hr
Melina FreitagProfessor, Institute for Mathematics, University of PotsdamVerified email at uni-potsdam.de
Christine NowakowskiInstitut für Technische und Numerische MechanikVerified email at itm.uni-stuttgart.de
Peter EberhardProfessor, University of Stuttgart, GermanyVerified email at itm.uni-stuttgart.de
Zoran TomljanovićAssociate Professor, University of Osijek, CroatiaVerified email at mathos.hr
Ninoslav TruharProfessor of Mathematics,Department of Mathematics, Josip Juraj Strossmayer University of OsijekVerified email at mathos.hr
Lieven De LathauwerKULeuvenVerified email at kuleuven.be
Davide PalittaSenior Assistant Professor, Alma Mater Studiorum, Università di BolognaVerified email at unibo.it
Michiel HochstenbachMathematics, TU EindhovenVerified email at tue.nl
Kameron Decker HarrisAssistant Professor of Computer Science, Western Washington UniversityVerified email at wwu.edu
Sergey DolgovUniversity of BathVerified email at bath.ac.uk
Daniel KressnerEPFLVerified email at epfl.ch
Igor Pontes DuffMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Ignat DomanovGroup Science, Engineering and Technology Campus Kortrijk KU Leuven - KULAKVerified email at kuleuven.be
Jennifer PestanaDepartment of Mathematics and Statistics, University of StrathclydeVerified email at strath.ac.uk
Christian KuehnLichtenberg Professor of Multiscale and Stochastic Dynamics, Technical University of MunichVerified email at ma.tum.de

Patrick Kürschner

Leipzig University of Applied Sciences (HTWK Leipzig)

Verified email at htwk-leipzig.de - Homepage

Numerical Multilinear Algebra Matrix Equations Model Order Reduction Polynomials Tensor Decompositions


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Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method P Benner, P Kürschner, J Saak Numerical Algorithms 62 (2), 225-251, 2013	104	2013
Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations P Benner, P Kürschner, J Saak Electronic Transaction on Numerical Analysis 43, 142-162, 2014	99	2014
Balanced truncation model order reduction in limited time intervals for large systems P Kürschner Advances in Computational Mathematics 44 (6), 1821-1844, 2018	84	2018
Frequency-Limited Balanced Truncation with Low-Rank Approximations P Benner, P Kürschner, J Saak SIAM J. Sci. Comput. 38 (1), A471–A499, 2016	80	2016
An improved numerical method for balanced truncation for symmetric second-order systems P Benner, P Kürschner, J Saak Mathematical and Computer Modelling of Dynamical Systems 19 (6), 593-615, 2013	79	2013
Efficient low-rank solution of large-scale matrix equations P Kürschner Shaker Verlag Aachen, 2016	58	2016
Computing real low-rank solutions of Sylvester equations by the factored ADI method P Benner, P Kürschner Computers & Mathematics with Applications 67 (9), 1656–1672, 2014	55	2014
RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations P Benner, Z Bujanović, P Kürschner, J Saak Numerische Mathematik 138 (2), 301–330, 2017	53	2017
A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems P Benner, Z Bujanović, P Kürschner, J Saak SIAM J. Sci. Comput 42 (2), A957–A996, 2020	51	2020
Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations C Nowakowski, P Kürschner, P Eberhard, P Benner ZAMM - Journal of Applied Mathematics and Mechanics 93 (4), 198--216, 2012	42	2012
An Output Error Bound for Time-Limited Balanced Truncation M Redmann, P Kürschner arXiv preprint arXiv:1710.07572, 2017	24*	2017
Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm P Benner, P Kürschner, Z Tomljanovic, N Truhar ZAMM‐Journal of Applied Mathematics and Mechanics, 2015	22	2015
Inexact methods for the low rank solution to large scale Lyapunov equations P Kürschner, MA Freitag BIT Numerical Mathematics, 2020	21	2020
A Reformulated Low‐Rank ADI Iteration with Explicit Residual Factors P Benner, P Kürschner, J Saak PAMM 13 (1), 585-586, 2013	21	2013
On the convergence of Krylov methods with low-rank truncations D Palitta, P Kürschner Numerical Algorithms 88 (3), 1383-1417, 2021	19	2021
A Goal-Oriented Dual LRCF-ADI for Balanced Truncation J Saak, P Benner, P Kürschner Proceedings of the Vienna Mathmod Conference, 2012	18	2012
Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations P Benner, P Kuerschner, J Saak Journal of the Franklin Institute 353 (5), 1147-1167, 2016	15	2016
Improved second-order balanced truncation for symmetric systems P Benner, P Kürschner, J Saak Proceedings of the Vienna Mathmod Conference, 2011	15	2011
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems IP Duff, P Kürschner Linear Algebra and its Applications, 2020	14	2020
Systems of polynomial equations, higher-order tensor decompositions and multidimensional harmonic retrieval: A unifying framework. Part II: The block-term decomposition J Vanderstukken, P Kürschner, I Domanov, L De Lathauwer SIAM Journal on Matrix Analysis and Applications 42 (2), 913–953, 2021	8	2021

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