A new estimate for the spectral radius of nonnegative tensors


Jingjing Cui, Guohua Peng, Quan Lu, Zhengge Huang




In this paper, we are concerned with the spectral radius of nonnegative tensors. By estimating the ratio of the smallest component and the largest component of a Perron vector, a new bound for the spectral radius of nonnegative tensors is obtained. It is proved that the new bound improves some existing ones. Finally, a numerical example is implemented to show the effectiveness of the proposed bound