On the second eigenvalue of matrices associated with TCP

被引：5

作者：

Berman, Abraham ^{[1
]}

Laffey, Thomas ^{[1
]}

Leizarowitz, Arie ^{[1
]}

Shorten, Robert ^{[1
]}

机构：

[1] NUI, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 416卷 / 01期

基金：

爱尔兰科学基金会;

关键词：

second eigenvalue of column stochastic matrices; network congestion control; communication networks; Kronecker products;

D O I：

10.1016/j.laa.2006.02.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2006 Published by Elsevier Inc.

引用

页码：175 / 183

页数：9