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November  2020, 16(6): 3035-3045. doi: 10.3934/jimo.2019092

## Some inequalities for the minimum M-eigenvalue of elasticity M-tensors

 School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, China

* Corresponding author: Jun He

Received  October 2018 Revised  February 2019 Published  July 2019

Fund Project: This work is supported by National Natural Science Foundations of China (11661084); Science and Technology Foundation of Guizhou province (Qian Ke He Ji Chu [2016]1161, [2017]1201); Innovative talent team in Guizhou Province(Qian Ke He Pingtai Rencai[2016]5619); High-level innovative talents of Guizhou Province(Zun Ke He Ren Cai[2017]8)

In this paper, we derive some lower bounds for the minimum M-eigenvalue of elasticity M-tensors, these bounds only depend on the elements of the elasticity M-tensors and they are easy to be verified. Comparison theorems for elasticity M-tensors are also given.

Citation: Jun He, Guangjun Xu, Yanmin Liu. Some inequalities for the minimum M-eigenvalue of elasticity M-tensors. Journal of Industrial & Management Optimization, 2020, 16 (6) : 3035-3045. doi: 10.3934/jimo.2019092
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##### References:
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