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On the second eigenvalues of matrices associated with TCP

Berman, Abraham and Laffey, Thomas and Leizarowitz, Arie and Shorten, Robert (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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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.

Keywords:Second eigenvalue of column stochastic matrices; Network congestion control; Communication networks; Kronecker products; Haifa 2005 conference on matrix theory.
Subjects:Science & Engineering > Hamilton Institute
Science & Engineering > Computer Science
Science & Engineering > Mathematics
ID Code:1819
Deposited By:Hamilton Editor
Deposited On:27 Jan 2010 12:47
Journal or Publication Title:Linear Algebra and its Applications
Publisher:Elsevier
Refereed:Yes
URL:http://www.elsevier.com/wps/find/journaldescription.cws_home/522483/description#description

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