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    On the second eigenvalues of matrices associated with TCP

    Berman, Abraham and Laffey, Thomas and Leizarowitz, Arie and Shorten, Robert N. (2006) On the second eigenvalues of matrices associated with TCP. Linear Algebra and its Applications, 416 (1). pp. 175-183. ISSN 0024-3795

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    We consider a convex combination of matrices that arise in the study of communication networks and the corresponding convex combination of Kronecker squares of these matrices. We show that the spectrum of the first convex combination is contained in the spectrum of the second set and that the second largest eigenvalues coincide.

    Item Type: Article
    Keywords: Second eigenvalue of column stochastic matrices; Network congestion control; Communication networks; Kronecker products; Haifa 2005 conference on matrix theory.
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1819
    Identification Number:
    Depositing User: Hamilton Editor
    Date Deposited: 27 Jan 2010 12:47
    Journal or Publication Title: Linear Algebra and its Applications
    Publisher: Elsevier
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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