# American Institute of Mathematical Sciences

October  2014, 10(4): 1031-1039. doi: 10.3934/jimo.2014.10.1031

## Bounds for the greatest eigenvalue of positive tensors

 1 Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China, China

Received  October 2012 Revised  August 2013 Published  February 2014

Higher order tensors are generalizations of matrices. In this paper, we extend the bounds for the greatest eigenvalue of positive square matrices to positive tensors, and give further results on the bounds for the greatest eigenvector of positive tensors.
Citation: Zhen Wang, Wei Wu. Bounds for the greatest eigenvalue of positive tensors. Journal of Industrial & Management Optimization, 2014, 10 (4) : 1031-1039. doi: 10.3934/jimo.2014.10.1031
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