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

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    Wen Li

  2. Department of Mathematics, University of Macau, Macau, China

    Wei-Hui Liu & Seak-Weng Vong

Authors
  1. Wen Li
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  2. Wei-Hui Liu
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  3. Seak-Weng Vong
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Corresponding author

Correspondence to Wen Li.

Additional information

The first author was supported in part by the National Natural Science Foundation of China (Nos. 11271144 and 11671158). The third author was supported in part by University of Macau (No. MYRG2015-00064-FST).

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Li, W., Liu, WH. & Vong, SW. On the Bound of the Eigenvalue in Module for a Positive Tensor. J. Oper. Res. Soc. China 5, 123–129 (2017). https://doi.org/10.1007/s40305-016-0142-2

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

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