Bounds for the spectral radius of nonnegative tensors

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Abstract

Lower bounds and upper bounds for the spectral radius of a non-negative tensor are provided. And it is proved that these bounds are better than the corresponding bounds in [Y. Yang, Q. Yang, Further results for Perron-Frobenius Theorem for nonnegative tensors, SIAM. J. Matrix Anal. Appl. 31 (2010), 2517-2530].

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Li, C., Wang, Y., Yi, J., & Li, Y. (2016). Bounds for the spectral radius of nonnegative tensors. Journal of Industrial and Management Optimization, 12(3), 975–990. https://doi.org/10.3934/jimo.2016.12.975

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