Given the square matrices A,B,D,E and the matrix C of conforming dimensions, we consider
the linear matrix equation A\mathbfXE+D\mathbfXB=C in the unknown matrix \mathbfX. Our …

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 …

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 work we obtain closed-form expression for the solution of non-symmetric algebraic
Riccati equation (NARE), A X+ X B+ XCX= D, A, B, C, D∈ ℂ n× n, under some conditions on …

In this thesis, we investigate the numerical solution of large-scale, algebraic matrix
equations. The focus lies on numerical methods based on the alternating directions implicit …

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 …

Considering the use of dynamical systems in practical applications, often only limited
regions in the time or frequency domain are of interest. Therefore, it usually pays off to …

In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …

In this article an optimal sensor placement problem for a thermo-elastic solid body model is
considered. Temperature sensors are placed in a near-optimal way so that their …

This paper improves the inexact Kleinman–Newton method for solving algebraic Riccati
equations by incorporating a line search and by systematically integrating the low-rank …