Finding the largest eigenvalue of a nonnegative tensor

Michael Ng, Liqun Qi, Guanglu Zhou

Research output: Journal article publicationJournal articleAcademic researchpeer-review

230 Citations (Scopus)


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
Publication statusPublished - 28 Dec 2009


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

ASJC Scopus subject areas

  • Analysis


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