MURAL - Maynooth University Research Archive Library



    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

    [img] Download (159kB)
    Official URL: http://www.sciencedirect.com/science?_ob=MImg&_ima...


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    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: https://doi.org/10.1016/j.laa.2006.02.031
    Depositing User: Hamilton Editor
    Date Deposited: 27 Jan 2010 12:47
    Journal or Publication Title: Linear Algebra and its Applications
    Publisher: Elsevier
    Refereed: Yes
    URI:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year