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