Model order reduction by balanced proper orthogonal decomposition and by rational interpolation

Mark R Opmeer

doi:10.1109/tac.2011.2164018

Model order reduction by balanced proper orthogonal decomposition and by rational interpolation

Mark R Opmeer

Department of Mathematical Sciences

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Abstract

We show that model order reduction by rational interpolation (also known as moment matching or rational Krylov) can be seen as the special case of balanced Proper Orthogonal Decomposition where all the snapshots are retained and particular numerical procedures are used to obtain the snapshots.

Original language	English
Pages (from-to)	472-477
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	57
Issue number	2
DOIs	https://doi.org/10.1109/tac.2011.2164018
Publication status	Published - Feb 2012

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Model order reduction by balanced proper orthogonal decomposition and by rational interpolation

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