Benner, Peter ; Quintana-Ortí, Enrique : Model Reduction Based on Spectral Projection Methods
- Author(s):
-
Benner, Peter
Quintana-Ortí, Enrique
- Title:
- Model Reduction Based on Spectral Projection Methods
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 6, 2005
- Mathematics Subject Classification:
-
93B40 [ Computational methods ] 65F30 [ Other matrix algorithms ] - Abstract:
- We discuss the efficient implementation of model reduction methods such as modal truncation, balanced truncation, and other balancing-related truncation techniques, employing the idea of spectral projection. Mostly, we will be concerned with the sign function method which serves as the major computational tool of most of the discussed algorithms for computing reduced-order models. Implementations for large-scale problems based on parallelization or formatted arithmetic will also be discussed. This chapter can also serve as a tutorial on Gramian-based model reduction using spectral projection methods.
- Keywords:
- model reduction; spectral projection; sign function method;
balanced truncation; modal truncation
- Language:
-
English
- Publication time:
- 4 / 2005
