46 citations · 89 across the 6 of their papers we have counts for
6 papers
Reduced rank extrapolation for multi-term Sylvester equations
Peter Benner, Pascal den Boef, Patrick Kürschner +2
We investigate the acceleration of stationary iterations for multi-term Sylvester equation by means of reduced rank extrapolation (RRE). Theoretical convergence results and impleme…
Generalizing Reduced Rank Extrapolation to Low-Rank Matrix Sequences
Pascal den Boef, Patrick Kürschner, Xiaobo Liu +5
Reduced rank extrapolation (RRE) is an acceleration method typically used to accelerate the iterative solution of nonlinear systems of equations using a fixed-point process. In thi…
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems
Igor Pontes Duff, Patrick Kürschner
In this paper, balancing based model order reduction (MOR) for large-scale linear discrete-time time-invariant systems in prescribed finite time intervals is studied. The first mai…
A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems
Peter Benner, Zvonimir Bujanović, Patrick Kürschner +1
In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These methods have been the focus of intensive research in recent y…
GMRES convergence bounds for eigenvalue problems
Melina Freitag, Patrick Kürschner, Jennifer Pestana
The convergence of GMRES for solving linear systems can be influenced heavily by the structure of the right hand side. Within the solution of eigenvalue problems via inverse iterat…
RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations
Peter Benner, Zvonimir Bujanović, Patrick Kürschner +1
This paper introduces a new algorithm for solving large-scale continuous-time algebraic Riccati equations (CARE). The advantage of the new algorithm is in its immediate and efficie…