Data-Driven Model Order Reduction Using Orthonormal Vector Fitting
Accurate frequency-domain macromodels are becoming increasingly important for the design, study and optimization of complex physical systems. These macromodels approximate the complex frequency-dependent input-output behaviour of broadband multi-port syst
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THE EUROPEAN CONSORTIUM FOR MATHEMATICS IN INDUSTRY SUBSERIES Managing Editor Vincenzo Capasso Editors Luis L. Bonilla Robert Mattheij Helmut Neunzert Otmar Scherzer
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Wilhelmus H.A. Schilders Henk A. van der Vorst Joost Rommes Editors
Model Order Reduction: Theory, Research Aspects and Applications With 133 Figures , 53 in color and 9 Tables
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Authors and Editors Wilhelmus H.A. Schilders NXP Semiconductors Corporate I&T/DTF/Design Methods Physical Design Methods − Mathematics High Tech Campus 37 5656 AE Eindhoven The Netherlands [email protected]
Joost Rommes NXP Semiconductors Corporate I&T/DTF/Design Methods Physical Design Mothods High Tech Campus 37 5656 AE Eindhoven The Netherlands [email protected]
Henk A. van der Vorst Mathematical Institute Utrecht University Budapestlaan 6 3508 TA Utrecht^ The Netherlands [email protected]
ISBN: 978-3-540-78840-9 e-ISBN: 978-3-540-78841-6 DOI: 10.1007/978-3-540-78841-6 Library of Congress Control Number: 2008929907 Mathematics Subject Classification (2000): 65, 93 c 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, Berlin Printed on acid-free paper 987654321 springer.com
Preface
The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from September 19–23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order reduction, starting from the very basics and containing an overview of all relevant techniques, would be of great use for students, young researchers starting in the field, and experienced researchers. The observation that most of the theory on model order reduction is scattered over many good papers, making it difficult to find a good starting point, was supported by most of the participants. Moreover, most of the speakers at the workshop were willing to contribute to the book that is now in front of you. The goal of this book, as defined during the discussion sessions at the workshop, is three-fold: first, it should describe the basics of model order reduction. Second, both general and more specialized model order reduction techniques for line
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