Perron's Eigenvector for Matrices in Distribution Problems

In this paper we consider convex combinations of matrices that arise in the study of distribution problems and analyse the properties of Perron's eigenvalue, and its associated positive eigenvector. We prove that the components in the (normalized) associated positive eigenvector have a monotone behaviour in the unit interval [0;1]: Moreover, we prove that the eigenvalue maximizes at the middle point of the interval. Additional properties are provided.

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Year of publication:	2012-10-25
Authors:	Subiza, Begoña ; Peris, Josep E. ; Silva-Reus, José A.
Institutions:	Departamento de Métodos Cuantitativos y Teoría Económica, Facultad de Ciencias Económicas y Empresariales
Subject:	Perrons eigenvalue \| Positive Eigenvectors \| Stochastic matrices \| Distribution Problems

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Series:	QM&ET Working Papers.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series QM&ET Working Papers The price is shipping costs Number 00-0 18 pages
Classification:	C00 - Mathematical and Quantitative Methods. General
Source:	RePEc - Research Papers in Economics

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