The Perron-Frobenius theorem

S. Unnikrishna Pillai; Torsten Suel; Seunghun Cha

doi:10.1109/MSP.2005.1406483

The Perron-Frobenius theorem

S. Unnikrishna Pillai, Torsten Suel, Seunghun Cha

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The Perron-Frobenius theorem provides a simple characterization of the eigenvectors and eigenvalues of some types of matrices with nonnegative entries. The importance of the theoreom stems from the fact that eigenvalue problems on these types of matrices arise in different fields of science and engineering. Some of the more common applications of the theorem are in considering the steady state behavior of Markov chains, power control in wireless networks, commodity pricing models in economics, population growth models, and Web search engines.

Original language	English (US)
Pages (from-to)	62-75
Number of pages	14
Journal	IEEE Signal Processing Magazine
Volume	22
Issue number	2
DOIs	https://doi.org/10.1109/MSP.2005.1406483
State	Published - Mar 2005

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/MSP.2005.1406483

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The Perron-Frobenius theorem

Abstract

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