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 


Office:  Room S2.14  
Phone:  424  
Fax:  +49 391 6110 500 MPI Magdeburg  
EMail:  kuerschner@mpimagdeburg.mpg.de 
Fields of research
 Numerical linear algebra
 Matrix equations, matrix functions
 eigenvalue problems
 preconditioning
 Model order reduction
News
Preprint: Residual minimizing shift parameters for the lowrank ADI iteration
November 15th, 2018
A shift parameter generation technique for the lowrank ADI iteration for large Lyapunov equations is discussed, which is based on a residual minimization principle.
Preprint: A numerical comparison of solvers for largescale, continuoustime algebraic Riccati equations
November 6th, 2018
In this survey article, Peter Benner, Zvonimir Bujanović (Uni Zagreb), Patrick Kürschner and Jens Saak present a extensive comparison of lowrank solvers for largescale algebraic Riccati equations.
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 lowrank 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.