Abstract

We give further results on the Perron–Frobenius theorem for tensors, generalize other theorems from matrices to tensors, and give an equivalent condition for nonnegative irreducible tensors.

MSC codes

  1. 74B99
  2. 15A18
  3. 15A69

Keywords

  1. nonnegative tensor
  2. Perron–Frobenius theorem
  3. Ky Fan theorem
  4. maxmin problem

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References

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Information

Published In

cover image SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Pages: 2517 - 2530
ISSN (online): 1095-7162

History

Submitted: 28 November 2009
Accepted: 1 June 2010
Published online: 31 August 2010

MSC codes

  1. 74B99
  2. 15A18
  3. 15A69

Keywords

  1. nonnegative tensor
  2. Perron–Frobenius theorem
  3. Ky Fan theorem
  4. maxmin problem

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