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2018 Some Properties of the Strong Primitivity of Nonnegative Tensors
Lihua You, Yafei Chen, Pingzhi Yuan
J. Appl. Math. 2018: 1-9 (2018). DOI: 10.1155/2018/5241490

Abstract

We show that an order m dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order m dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly primitive tensors with n 3 and propose some problems for further research.

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Lihua You. Yafei Chen. Pingzhi Yuan. "Some Properties of the Strong Primitivity of Nonnegative Tensors." J. Appl. Math. 2018 1 - 9, 2018. https://doi.org/10.1155/2018/5241490

Information

Received: 25 January 2018; Accepted: 3 July 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 07000936
MathSciNet: MR3844419
Digital Object Identifier: 10.1155/2018/5241490

Rights: Copyright © 2018 Hindawi

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