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On the second eigenvalue of matrices associated with TCP |
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| Authors: | Abraham Berman Arie Leizarowitz |
| Institution: | The Hamilton Institute, NUI, Maynooth, Ireland |
| 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 |
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