131 citations · 917 across the 125 of their papers we have counts for
3 papers · 1 filter
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…
A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
Peter Benner, Venera Khoromskaia, Boris N. Khoromskij
The Bethe-Salpeter equation (BSE) is a reliable model for estimating the absorption spectra in molecules and solids on the basis of accurate calculation of the excited states from…
Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems
Peter Benner, Tobias Damm, Yolanda Rocio Rodriguez Cruz
We consider two approaches to balanced truncation of stochastic linear systems, which follow from different generalizations of the reachability Gramian of deterministic systems. Bo…