Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6109
PIRA download icon_1.1View/Download Full Text
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

Files in This Item:
File Description SizeFormat 
Ng_Largest_Eigenvalue_Tensor.pdf161.54 kBAdobe PDFView/Open
Open Access Information
Status open access
File Version Version of Record
Access
View full-text via PolyU eLinks SFX Query
Show full item record

Page views

226
Last Week
1
Last month
Citations as of Mar 24, 2024

Downloads

433
Citations as of Mar 24, 2024

SCOPUSTM   
Citations

256
Last Week
3
Last month
4
Citations as of Mar 28, 2024

WEB OF SCIENCETM
Citations

263
Last Week
0
Last month
1
Citations as of Mar 28, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.