Preconditioning techniques in linear model order reduction

W.H.A. Schilders, J. Rommes

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Abstract

Krylov subspace methods have become very popular, not only for solving large scale linear systems, but also in the area of model order reduction. It is also well known that the performance of iterative solution techniques depends crucially on the choice of preconditioning matrix. Within the area of model order reduction, the concept of preconditioning has not yet been introduced. However, recent reduction problems arising in electronics applications clearly demonstrate the need for some kind of preconditioning step prior to the actual model order reduction. In this paper, we present initial ideas and some test results.
Original languageEnglish
Title of host publicationProceedings 6th Vienna International Conference on Mathematical Modeling (MATHMOD 2009, Vienna, Germany, February 11-13, 2009)
EditorsI. Troch, F. Breitenecker
Pages1223-1231
Publication statusPublished - 2009

Publication series

NameARGESIM Report
Volume35

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    Schilders, W. H. A., & Rommes, J. (2009). Preconditioning techniques in linear model order reduction. In I. Troch, & F. Breitenecker (Eds.), Proceedings 6th Vienna International Conference on Mathematical Modeling (MATHMOD 2009, Vienna, Germany, February 11-13, 2009) (pp. 1223-1231). (ARGESIM Report; Vol. 35).