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Some upper bounds on Zt-eigenvalues of tensors

Author

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  • Wang, Guiyan
  • Deng, Chunli
  • Bu, Changjiang

Abstract

In this paper, we give upper bounds on Zt-spectral radius of a tensor A(t=1,2), which extend the upper bounds of Brauer to tensors. Moreover, an upper bound on the Z1-spectral radius is proposed via modulus sum of the entries of certain dimension of A, which improves the upper bound given by Li et al. Numerical experiments are given to illustrate the utility of the upper bound.

Suggested Citation

  • Wang, Guiyan & Deng, Chunli & Bu, Changjiang, 2018. "Some upper bounds on Zt-eigenvalues of tensors," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 266-277.
    • Handle: RePEc:eee:apmaco:v:329:y:2018:i:c:p:266-277
    DOI: 10.1016/j.amc.2018.01.064
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    References listed on IDEAS

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    1. Lin, Hongying & Mo, Biao & Zhou, Bo & Weng, Weiming, 2016. "Sharp bounds for ordinary and signless Laplacian spectral radii of uniform hypergraphs," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 217-227.
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