Personal info page

Substitute 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 interest:

Numerical and applied (multi)linear algebra, methods for eigenvalue problems, linear systems, matrix equations and matrix functions, preconditioning, model order reduction, (generalized) Krylov subspace methods, tensor methods, mathematical system and control theory, multivariate polynomials, computational aspects of digital signal processing & data science

Pic (c) ebel[at]mpi-magdeburg[dot]mpg[dot]de, 2017

News:

Accepted Paper:

03/2021: 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, accepted for publication in SIAM J. on Matrix analysis and applications, 2021; [preprint]

New Paper:

02/2021: On the convergence of Krylov methods with low-rank truncations with D. Palitta; Numerical Algorithms, 2021.

Special Issue on "Matrix Equations and Symmetry":

11/2020: Dr. Matthias Voigt (U Hamburg / TU Berlin) and I are serving as Guest Editors for a Special Issue on "Matrix Equations and Symmetry" in the MPDI Journal: Symmetry.

New Paper:

09/2020: Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems with Igor Pontes Duff; Linear Algebra and its Applications, 2020.

New Paper:

Inexact methods for the low rank solution to large scale Lyapunov equations with M. Freitag, BIT Numerical Mathematics, 2020 [preprint]

New Paper:

A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems with P. Benner, Z. Bujanovic, J. Saak, SIAM J. Scientific Computing: 42(2), 2020 [preprint] [code/data]

New Paper:

Combined Error Estimates for Local Fluctuations of SPDEs with Christian Kuehn, Advances in Computational Mathematics: 46(11), 2020 [preprint]