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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|---|---|---|---|---|
| Ng_Largest_Eigenvalue_Tensor.pdf | 161.54 kB | Adobe PDF | View/Open |
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