Journal of the Operations Research Society of China

Special Issue: Vector and tensor optimization

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On the Bound of the Eigenvalue in Module for a Positive Tensor

  

  • Online:2017-03-30 Published:2017-03-30

Abstract: In this paper, we propose a bound for ratio of the largest eigenvalue and second largest eigenvalue in module for a higher-order tensor. From this bound, one may deduce the bound of the second largest eigenvalue in module for a positive tensor, and the bound can reduce to the matrix cases.

Key words: Positive tensors ·, Eigenvalue ·, Bound