Name
Abstract | ||
|---|---|---|
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 prescribed frequency regions. The main emphasis is put on the efficient numerical realization of this model reduction approach. We discuss numerical methods to take care of the involved matrix-valued functions. The occurring large-scale Lyapunov equations are solved for low-rank approximations for which we also establish results regarding the eigenvalues of their solutions. These results, and also numerical experiments, will show that the eigenvalues of the Lyapunov solutions in frequency-limited balanced truncation often decay faster than those in standard balanced truncation. Moreover, we show in further numerical examples that frequency-limited balanced truncation generates reduced order models which are significantly more accurate in the considered frequency region. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1030911 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
Lyapunov equations,alternating direction implicit,controllability,observability,balanced truncation,model order reduction,rational Krylov subspaces,matrix functions,matrix logarithm | Alternating direction implicit method,Lyapunov function,Truncation error,Mathematical optimization,Controllability,Model order reduction,Mathematical analysis,Truncation error (numerical integration),Numerical analysis,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
38 | 1 | 1064-8275 |
Citations | PageRank | References |
9 | 0.91 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peter Benner | 1 | 825 | 114.06 |
| Patrick Kürschner | 2 | 37 | 5.29 |
| Jens Saak | 3 | 59 | 11.00 |