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Associate Professor for Numerical Mathematics and Linear Algebra at Leipzig University of Applied Sciences (HTWK Leipzig)
Office: Z415, Zuse-Bau, Gustav-Freytag-Straße 42, 04277 Leipzig
Email: patrick[dot]kuerschner[at]htwk-leipzig[dot]de
Research interests:
Numerical and applied (multi)linear algebra, methods for eigenvalue problems, linear systems, matrix equations and matrix functions, preconditioning, (generalized) Krylov subspace methods, tensor methods, model order reduction, mathematical system and control theory, systems of polynomial equations, numerical algorithms in digital signal processing, data science & machine learning
News:
News:
New Papers/preprints:
09/2024: Inexact linear solves in the low-rank ADI iteration for large Sylvester equations, P.K., ETNA, 62:119-137, 2024. [preprint] [codes]
10/2024: Low-rank approximations of frequency-limited discrete-time Gramians, P.K., PAMM , 24(4), 2024
02/2025: 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, arXiv preprint 2502.09165, 2025 [codes]
Matlab Codes available
2023/24: I've made some Matlab codes available on Zenodo for recent and prior work on
inexact rational Krylov and inexact ADI for Lyapunov equations: zenodo.org/record/7461993,
(in)exact ADI for large Sylvester equations: zenodo.org/records/10454177,
on time-limited balanced truncation: zenodo.org/record/7366026
GAMM
ANLA
GAMM
ANLA
Applied and Numerical Linear Algebra at GAMM Annual Meeting:
05/2022: Silvia Gazzola (Uni Bath) and I are organizing the Section S17 on Applied and Numerical Linear Algebra at the 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2022); taking place in Aachen, August 15 – 19, 2022.
New Position:
04/2022: As of April 2022, I am Associate Professor for Numerical Mathematics and Linear Algebra at Leipzig University of Applied Sciences (HTWK Leipzig)
New Paper:
06/2021: Systems of polynomial equations, higher-order tensor decompositions and multidimensional harmonic retrieval: A unifying framework. Part II: The block-term decomposition with Jeroen Vanderstukken, Ignat Domanov, Lieven De Lathauwer, SIAM J. on Matrix Analysis and Applications, 42(2):913–953, 2021; [preprint]
New Paper:
02/2021: On the convergence of Krylov methods with low-rank truncations with D. Palitta; Numerical Algorithms, 88:1383–1417 , 2021.
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