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Simulation and Verification of Electronic and Biological Systems pp 43–70Cite as

Recent Advances in Structure-Preserving Model Order Reduction

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Abstract

In recent years, model order reduction techniques based on Krylov subspaces have become the methods of choice for generating small-scale macromodels of the large-scale multi-port RCL networks that arise in VLSI interconnect analysis. A difficult and not yet completely resolved issue is how to ensure that the resulting macromodels preserve all the relevant structures of the original large-scale RCL networks. In this paper, we present a brief review of how Krylov subspace techniques emerged as the algorithms of choice in VLSI circuit simulation, describe the current state-of-art of structure-preserving model order reduction, discuss some recent advances, and mention open problems.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Davis, One Shields Avenue, Davis, CA, 95616, USA

    Roland W. Freund

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  1. Roland W. Freund
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Correspondence to Roland W. Freund .

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Editors and Affiliations

  1. Dept. of Electrical and Comp. Eng., Texas A&M University, 3259 TAMU, College Station, 77843, USA

    Peng Li

  2. Dept. of Electrical and Comp. Eng., INESC ID/IST - TU Lisbon, Rua Alves Redol 9, Lisboa, 1000-029, Portugal

    Luís Miguel Silveira

  3. IBM T.J. Watson Research Center, Kitchawan Rd. 1101, Yorktown Heights, 10598, USA

    Peter Feldmann

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Freund, R.W. (2011). Recent Advances in Structure-Preserving Model Order Reduction. In: Li, P., Silveira, L., Feldmann, P. (eds) Simulation and Verification of Electronic and Biological Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0149-6_3

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  • DOI: https://doi.org/10.1007/978-94-007-0149-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0148-9

  • Online ISBN: 978-94-007-0149-6

  • eBook Packages: EngineeringEngineering (R0)

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