Finding the Largest Eigenvalue of a Nonnegative Tensor

Michael Ng, Liqun Qi, Guanglu Zhou

Research output: Contribution to journalJournal articlepeer-review

258 Citations (Scopus)
32 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)1090-1099
Number of pages10
JournalSIAM Journal on Matrix Analysis and Applications
Issue number3
Early online date28 Aug 2009
Publication statusPublished - May 2010

Scopus Subject Areas

  • Analysis

User-Defined Keywords

  • Higher-order markov chains
  • Iterative method
  • Nonnegative tensor
  • Spectral radius


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