Journal of the Operations Research Society of China >

2017 , Vol. 5 >Issue 1: 123

DOI: https://doi.org/10.1007/s40305-016-0142-2

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

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Online published: 2017-03-30

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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

Cite this article

Wen Li · Wei-Hui Liu · Seak-Weng Vong . On the Bound of the Eigenvalue in Module for a Positive Tensor[J]. Journal of the Operations Research Society of China, 2017 , 5(1) : 123 . DOI: 10.1007/s40305-016-0142-2

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