An efficient Krylov subspace method to simulate the low-frequency response of multiconductor tranmission lines

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    Abstract

    In this paper we present a Krylov subspace method to efficiently compute the lowfrequency response of multiconductor transmission lines. Through a Lanczos-type algorithm we generate so-called spectral Lanczos decomposition approximations on an entire frequency interval of interest. Low frequencies are approximated first, since we use the inverse of the transmission line system matrix in the Lanczos algorithm. Although this inverse is not a sparse matrix, computing its action on a vector still requires an order N amount of work, where N is the total number of unknowns. Moreover, the inverse is a so-called J-symmetric matrix because of reciprocity. This property is exploited in the Lanczos algorithm and approximations are constructed via a Three-term recurrence relation. The overall algorithm is therefore very efficient.
    Original languageUndefined/Unknown
    Title of host publication2007 International conference on electromagnetics in advanced applications
    Editors s.n.
    Place of PublicationTorino
    PublisherCOREP
    Pages1-4
    Number of pages4
    ISBN (Print)1-4244-0767-2
    Publication statusPublished - 2007
    EventICEAA 2007: 10th edition - Torino
    Duration: 17 Sep 200721 Sep 2007

    Publication series

    Name
    PublisherCOREP

    Conference

    ConferenceICEAA 2007
    CityTorino
    Period17/09/0721/09/07

    Keywords

    • conference contrib. refereed
    • Conf.proc. > 3 pag

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