Efficient numerical algorithms for the solution of large and sparse matrix Riccati and
Lyapunov equations based on the low rank alternating directions implicit (ADI) iteration have …

In this paper, we investigate a recently introduced approach for nonlinear model order
reduction based on generalized moment matching. Using basic tensor calculus, we propose …

Low-rank versions of the alternating direction implicit (ADI) iteration are popular and well
established methods for the numerical solution of large-scale Sylvester and Lyapunov …

In this article we investigate model order reduction of large-scale systems using frequency-
limited balanced truncation, which restricts the well known balanced truncation framework to …

The solution of large-scale Lyapunov equations is a crucial problem for several fields of
modern applied mathematics. The low-rank Cholesky factor version of the alternating …

We present two MATLAB toolboxes, provided as open-source code, that expand the
capabilities of the Control System Toolbox to large-scale models. sss allows the definition …

We consider balanced truncation model order reduction for symmetric second-order
systems. The occurring large-scale generalized and structured Lyapunov equations are …

In this article a boundary feedback stabilization approach for incompressible Navier--Stokes
flows is studied. One of the main difficulties encountered is the fact that after space …

These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …

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 …