@article{bc56fac1eb394d4fa5ad7599b21a3c64,
title = "Finding the Largest Eigenvalue of a Nonnegative Tensor",
abstract = "In this paper we propose an iterative method for calculating the largest eigenvalue of an irreducible nonnegative tensor. This method is an extension of a method of Collatz (1942) for calculating the spectral radius of an irreducible nonnegative matrix. Numerical results show that our proposed method is promising. We also apply the method to studying higher-order Markov chains.",
keywords = "Higher-order markov chains, Iterative method, Nonnegative tensor, Spectral radius",
author = "Michael Ng and Liqun Qi and Guanglu Zhou",
note = "Funding information: t Department of Mathematics, The Hong Kong Baptist University, Hong Kong (
[email protected]. edu.hk). This author{\textquoteright}s research was supported in part by RGC grants and HKBU FRGs. *Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong (
[email protected]). This author{\textquoteright}s work was supported by the Hong Kong Research Grant Council. Publisher copyright: Copyright {\textcopyright} 2009 Society for Industrial and Applied Mathematics",
year = "2010",
month = may,
doi = "10.1137/09074838X",
language = "English",
volume = "31",
pages = "1090--1099",
journal = "SIAM Journal on Matrix Analysis and Applications",
issn = "0895-4798",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "3",
}