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    National Tsing Hua University Institutional Repository > 電機資訊學院 > 電機資訊學院學士班 > 期刊論文 >  An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/41829

    Title: An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems
    Authors: Lee, Herng-Jer;Chu, Chia-Chi;Feng, Wu-Shiung
    教師: 朱家齊
    Date: 2006
    Publisher: Elsevier
    Relation: LINEAR ALGEBRA AND ITS APPLICATIONS,Volume 415,Issue 2-3,Pages 235-261,JUN 1 2006
    Keywords: Adaptive systems
    Linear algebra
    Iterative methods
    VLSI circuits
    Abstract: © 2006 Elsevier - This work proposes a model reduction method, the adaptive-order rational Arnoldi (AORA) method, to be applied to large-scale linear systems. It is based on an extension of the classical multi-point Pade approximation (or the so-called multi-point moment matching), using the rational Arnoldi iteration approach. Given a set of predetermined expansion points, an exact expression for the error between the output moment of the original system and that of the reduced-order system, related to each expansion point, is derived first. In each iteration of the proposed adaptive-order rational Arnoldi algorithm, the expansion frequency corresponding to the maximum output moment error will be chosen. Hence, the corresponding reduced-order model yields the greatest improvement in output moments among all reduced-order models of the same order. A detailed theoretical study is described. The proposed method is very appropriate for large-scale electronic systems, including VLSI interconnect models and digital filter designs. Several examples are considered to demonstrate the effectiveness and efficiency of the proposed method. © 2004 Elsevier Inc. All rights reserved.
    URI: http://www.elsevier.com/
    Appears in Collections:[電機資訊學院學士班] 期刊論文

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