Google Scholar -- Researchgate -- ORCID -- WebofScience -- bibtex-file
Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences, Pascal den Boef, P.K., Xiaobo Liu, Jos Maubach, Jens Saak, Wil Schilders, Jonas Schulze, Nathan van de Wouw, accepted for publication in Numerical Algorithms, arXiv preprint 2502.09165, 2026 [codes]
Inexact linear solves in the low-rank ADI iteration for large Sylvester equations, P.K., ETNA, 62:119-137, 2024, [preprint] [codes].
Systems of polynomial equations, higher-order tensor decompositions and multidimensional harmonic retrieval: a unifying framework. Part II: The block-term decomposition, Jeroen Vanderstukken, P.K., Ignat Domanov, Lieven De Lathauwer, SIAM J. on Matrix analysis and applications, 42(2):913–953, 2021; [preprint]
On the convergence of Krylov methods with low-rank truncations, Davide Palitta, P.K.; Numerical Algorithms, 88:1383–1417, 2021; [preprint]
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems, Igor Pontes Duff, P.K.; Linear Algebra and its Applications, 623:367-397, 2021 (in Special Issue in Honor of Paul van Dooren) [preprint]
Inexact methods for the low rank solution to large scale Lyapunov equations, P.K., Melina Freitag; BIT Numerical Mathematics, 60:1221–1259, 2020 [preprint] [codes]
Low-rank updates and divide-and-conquer methods for quadratic matrix equations, Daniel Kressner, P.K., Stefano Massei; Numerical Algorithms, 84:717-741 , 2020 [preprint]
A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems, Peter Benner, Zvonimir Bujanović, P.K., Jens Saak; SIAM J. Sci. Comput., 42(2):A957–A996 , 2020 [preprint] [code/data]
Combined Error Estimates for Local Fluctuations of SPDEs; Christian Kuehn, P.K.; Advances in Computational Mathematics: 46(11), 2020 [preprint]
Greedy low-rank algorithm for spatial connectome regression; P.K., Sergey Dolgov, Kameron Decker Harris, Peter Benner; The Journal of Mathematical Neuroscience: 9(1), Art. 9, 2019 [preprint] [code/data]
Approximate residual minimizing shift parameters for the low-rank ADI iteration, P.K.; Electronic Transactions on Numerical Analysis : 51:240-261, 2019 [preprint]
RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations; Peter Benner, Zvonimir Bujanović, P.K., Jens Saak; Numerische Mathematik: 138(2):301–330, 2018 [preprint]
GMRES convergence bounds for eigenvalue problems ; Melina Freitag, P.K., Jennifer Pestana; Comput. Meth. Appl. Mat.: 18(2):203-222, 2018 [preprint]
Balanced truncation model order reduction in limited time intervals for large systems; P.K.; Advances in Computational Mathematics : 44(6):1821-1844, 2018 [preprint] [codes]
An Output Error Bound for Time-Limited Balanced Truncation; Martin Redmann, P.K.; Syst. Control Lett.: 121:1-6, 2018 [preprint] [codes]
Frequency-Limited Balanced Truncation with Low-Rank Approximations; Peter Benner, P.K., Jens Saak; SIAM J. Sci. Comput.: 38(1):A471-A499, 2016 [preprint]
Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm; Peter Benner, P.K., Zoran Tomljanović, Ninoslav, Truhar; ZAMM : 96(5):604-619, 2016 [preprint]
Low-Rank Newton-ADI methods for Large Nonsymmetric Algebraic Riccati Equations; Peter Benner, P.K., Jens Saak; Journal of The Franklin Institute : 353(5):1147–1167, 2016 [preprint]
Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration; Melina Freitag, P.K.; Numerical Linear Algebra with Applications : 22(1):175--196, 2015 [preprint]
Computing Real Low-rank Solutions of Sylvester equations by the Factored ADI Method; Peter Benner, P.K.; Computers and Mathematics with Applications : 67(9):1656-1672, 2014 [preprint]
Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations; Peter Benner, P.K., Jens Saak; Electronic Transactions on Numerical Analysis : 43:142-162, 2014 [preprint]
Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method; Peter Benner, P.K., Jens Saak; Numerical Algorithms: 62(2):225-251, 2013 [preprint]
Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations; Christine Nowakowski, P.K., Peter Eberhard, Peter Benner; ZAMM - Journal of Applied Mathematics and Mechanics: 93(4):198 - 216, 2013 [preprint]
An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems; Peter Benner, P.K., Jens Saak; Mathematical and Computer Modelling of Dynamical Systems: 19(6):593-615, 2013 [preprint]
Low-rank approximations of frequency-limited discrete-time Gramians, P.K., Proceedings in Applied Mathematics and Mechanics: 24(4), 2024
Inner-outer methods for large-scale two-sided eigenvalue problems; Melina Freitag, P.K.; Numerical Solution of PDE Eigenvalue Problems : Oberwolfach Report 56/2013, 2013
A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors; Peter Benner, P.K., Jens Saak; Proceedings in Applied Mathematics and Mechanics: 13(1):585–586, 2013
Improved second-order balanced truncation for symmetric systems; Peter Benner, P.K., Jens Saak; IFAC Proceedings Volumes: 45(2):758 - 762, 2012, Proceedings of 7th Vienna International Conference on Mathematical Modelling [preprint]
A Goal-Oriented Dual LRCF-ADI for Balanced Truncation, Peter Benner, P.K., Jens Saak; IFAC Proceedings Volumes: 45(2):752 - 757, 2012. Proceedings of 7th Vienna International Conference on Mathematical Modelling [preprint]
Avoiding complex arithmetic in the low-rank ADI method efficiently, Peter Benner, P.K., Jens Saak; Proceedings in Applied Mathematics and Mechanics: 12(1):639–640, 2012
Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler Mehrkörpersysteme (in German), Peter Benner, Peter Eberhard, Gunter Knoll, P.K., Christine Nowakowski, Gerard Ochse; FVV Frühjahrstagung 2011, Frankfurt a.M.: Forschungsvereinigung Verbrennungskraftmaschinen e.V. : Heft R553, pp. 175-197, 2011.
Model order reduction of large-scale dynamical systems with Jacobi-Davidson style eigensolvers, Peter Benner, Michiel Hochstenbach, P.K.; International Conference on Communications, Computing and Control Applications, 2011 (CCCA11) : IEEE; 2011, IEEE Catalog Number: CFP1154M-ART
Two-sided harmonic subspace extractions for the generalized eigenvalue problem; Peter Benner, Michiel Hochstenbach, P.K.; Proceedings in Applied Mathematics and Mechanics: 11(1):741–742, 2011
Efficient Low-Rank Solution of Large-Scale Matrix Equations; P.K.; Shaker Verlag; PhD thesis, 2016.
Two-Sided Eigenvalue Methods for Modal Approximation; P.K.; Master thesis, Chemnitz University of Technology; 2010.
Der Jacobi-Davidson Algorithmus auf Parallelrechnern (in German), P.K.; Bachelor thesis, Chemnitz University of Technology; 2008.
Reduced rank extrapolation for multi-term Sylvester equations, Pascal den Boef, P.K., Xiaobo Liu,Peter Benner, Jens Saak, arXiv preprint 2603.12979, 2026 [codes]
Real versions of low-rank ADI methods with complex shifts; Peter Benner, P.K., Jens Saak; MPI Magdeburg Preprints MPIMD/12-11; 2012.