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.
|Date of creation:||26 Oct 2012|
|Contact details of provider:|| Postal: +34 965 90 36 70|
Phone: +34 965 90 36 70
Fax: +34 965 90 97 89
Web page: http://web.ua.es/es/dmcte
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:ris:qmetal:2012_015. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Julio Carmona)
If references are entirely missing, you can add them using this form.