Finding the largest eigenvalue of a nonnegative tensor

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6109

Title:	Finding the largest eigenvalue of a nonnegative tensor
Authors:	Ng, M Qi, L Zhou, G
Issue Date:	2010
Source:	SIAM journal on matrix analysis and applications, 2010, v. 31, no. 3, p. 1090–1099
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:	Spectral radius Nonnegative tensor Iterative method Higher-order Markov chains
Publisher:	Society for Industrial and Applied Mathematics
Journal:	SIAM journal on matrix analysis and applications
ISSN:	0895-4798
EISSN:	1095-7162
DOI:	10.1137/09074838X
Rights:	© 2009 Society for Industrial and Applied Mathematics
Appears in Collections:	Journal/Magazine Article

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