11 citations · 15 across the 4 of their papers we have counts for
4 papers
On a family of low-rank algorithms for large-scale algebraic Riccati equations
Christian Bertram, Heike Faßbender
In [3] it was shown that four seemingly different algorithms for computing low-rank approximate solutions to the solution of large-scale continuous-time algebraic Riccati…
Riccati ADI: Existence, uniqueness and new iterative methods
Christian Bertram, Heike Faßbender
The approximate solution of large-scale algebraic Riccati equations is considered. We are interested in approximate solutions which yield a Riccati residual matrix of a particular…
A link between gramian based model order reduction and moment matching
Christian Bertram, Heike Faßbender
We analyze a family of Runge-Kutta based quadrature algorithms for the approximation of the gramians of linear time invariant dynamical systems. The approximated gramians are used…
Lyapunov and Sylvester equations: A quadrature framework
Christian Bertram, Heike Faßbender
This paper introduces a novel framework for the solution of (large-scale) Lyapunov and Sylvester equations derived from numerical integration methods. Suitable systems of ordinary…