Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. - Peter Benner; Patrick Kürschner; Jens Saak (Numer. Algorithms, 2013)

Computing real low-rank solutions of Sylvester equations by the factored ADI method. - Peter Benner; Patrick Kürschner (Comput. Math. Appl., 2014)

Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. - Melina A. Freitag; Patrick Kürschner (Numer. Linear Algebra Appl., 2015)

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. - Peter Benner; Patrick Kürschner; Jens Saak (J. Frankl. Inst., 2016)

Frequency-Limited Balanced Truncation with Low-Rank Approximations. - Peter Benner; Patrick Kürschner; Jens Saak (SIAM J. Sci. Comput., 2016)

Balanced truncation model order reduction in limited time intervals for large systems. - Patrick Kürschner (Adv. Comput. Math., 2018)

GMRES Convergence Bounds for Eigenvalue Problems. - Melina A. Freitag; Patrick Kürschner; Jennifer Pestana (Comput. Methods Appl. Math., 2018)

RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. - Peter Benner; Zvonimir Bujanovic; Patrick Kürschner; Jens Saak (Numerische Mathematik, 2018)

An output error bound for time-limited balanced truncation. - Martin Redmann; Patrick Kürschner (Syst. Control. Lett., 2018)

Combined error estimates for local fluctuations of SPDEs. - Christian Kuehn 001; Patrick Kürschner (Adv. Comput. Math., 2020)

Low-rank updates and divide-and-conquer methods for quadratic matrix equations. - Daniel Kressner; Patrick Kürschner; Stefano Massei (Numer. Algorithms, 2020)

A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. - Peter Benner; Zvonimir Bujanovic; Patrick Kürschner; Jens Saak (SIAM J. Sci. Comput., 2020)

Collected MATLAB solvers for large-scale AREs. - Jens Saak; Patrick Kürschner; Zvonimir Bujanovic; Peter Benner (Zenodo, 2020)

On the convergence of Krylov methods with low-rank truncations. - Davide Palitta; Patrick Kürschner (Numer. Algorithms, 2021)

Systems of Polynomial Equations, Higher-Order Tensor Decompositions, and Multidimensional Harmonic Retrieval: A Unifying Framework. Part II: The Block Term Decomposition. - Jeroen Vanderstukken; Patrick Kürschner; Ignat Domanov; Lieven De Lathauwer (SIAM J. Matrix Anal. Appl., 2021)

Inexact linear solves in the low-rank ADI iteration for large Sylvester equations. - Patrick Kürschner (CoRR, 2023)

Code and data for "Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences". - Pascal den Boef; Patrick Kürschner; Xiaobo Liu; Joseph M. Maubach; Jens Saak; Wil H. A. Schilders; Jonas Schulze; Nathan van de Wouw (Zenodo, 2025)

Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences. - Pascal den Boef; Patrick Kürschner; Xiaobo Liu; Joseph M. Maubach; Jens Saak; Wil H. A. Schilders; Jonas Schulze; Nathan van de Wouw (CoRR, 2025)