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 | 97 | 2014 |
Balanced truncation model order reduction in limited time intervals for large systems P Kürschner Advances in Computational Mathematics 44 (6), 1821-1844, 2018 | 80 | 2018 |
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 | 78 | 2013 |
Frequency-Limited Balanced Truncation with Low-Rank Approximations P Benner, P Kürschner, J Saak SIAM J. Sci. Comput. 38 (1), A471–A499, 2016 | 77 | 2016 |
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 | 54 | 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 | 51 | 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 | 49 | 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 | 20 | 2020 |
A Reformulated Low‐Rank ADI Iteration with Explicit Residual Factors P Benner, P Kürschner, J Saak PAMM 13 (1), 585-586, 2013 | 20 | 2013 |
A Goal-Oriented Dual LRCF-ADI for Balanced Truncation J Saak, P Benner, P Kürschner Proceedings of the Vienna Mathmod Conference, 2012 | 18 | 2012 |
On the convergence of Krylov methods with low-rank truncations D Palitta, P Kürschner Numerical Algorithms 88 (3), 1383-1417, 2021 | 16 | 2021 |
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 | 13 | 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 |