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Dr. rer. nat. Patrick Kürschner

Dr. rer. nat. Patrick Kürschner

Postdoctoral research associate of workgroup Computational Methods in Systems and Control Theory (Prof. Dr. Peter Benner)
Postal adress: Max Planck Institute
for Dynamics of Complex Technical Systems
Sandtorstr. 1
39106 Magdeburg
Germany
Patrick Kürschner
Office: Room S2.14
Phone: 424
Fax: +49 391 6110 500 MPI Magdeburg
E-Mail: kuerschner@mpi-magdeburg.mpg.de

Fields of research

  • Numerical linear algebra
    • Matrix equations, matrix functions
    • eigenvalue problems
    • preconditioning
  • Model order reduction

News

History of Lyapunov residuals and inner tolerances of (in)exact LR-ADI

Preprint: Inexact methods for the low rank solution to large scale Lyapunov equations


September 18th, 2018
Melina Freitag (Uni Bath) and Patrick Kürschner investigate the effect of inexact linear solves in rational Krylov subspace and low-rank ADI methods for large matrix equations. Dynamic stopping criteria are developed that decrease the amount of work spent in solving the sequences of linear systems.

Preprint: Greedy low-rank algorithm for spatial connectome regression


August 17th, 2018
Patrick Kürschner, Sergey Dolgov (Uni Bath), Kameron Decker Harris (Uni Washington), and Peter Benner investigate a matrix regression problem arising in computational neuroscience. The problem is formulated as large-scale algebraic matrix equation which is solved by a greedy low-rank algorithm.
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Patrick Kürschner, kuerschner@mpi-magdeburg.mpg.de