# 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

## News:

**New Position:**

**10/2020: **Starting October 2020, I am Substitute Professor for Numerical Mathematics and Linear Algebra at Leipzig University of Applied Sciences (HTWK Leipzig)

**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 Preprint:**

**07/2020: **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, *internal report 17-134, ESAT-STADIUS, KU Leuven*

**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]

**Updated Preprint:**

**01/2020: **On the convergence of Krylov methods with low-rank truncations with D. Palitta, *initial version 09/2019*

**New Paper:**

Greedy low-rank algorithm for spatial connectome regression, with Sergey Dolgov, Kameron D. Harris, Peter Benner, J. Math. Neurosc., 2019 [preprint] [code/data]