Some inequalities on the spectral radius of nonnegative tensors-Reference-Cited by-同舟云学术

Some inequalities on the spectral radius of nonnegative tensors

Published:2020-01-01 Issue:1 Volume:18 Page:262-269
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ma Chao¹²,Liang Hao³,Xie Qimiao⁴,Wang Pengcheng⁴

Affiliation:

1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240 , China

2. Department of Mathematics, Shanghai Maritime University, Shanghai 201306 , China

3. Department of Mathematics, East China Normal University, Shanghai 200241 , China

4. College of Ocean Science and Engineering, Shanghai Maritime University, Shanghai 201306 , China

Abstract

Abstract The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0143/pdf

Reference31 articles.

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3. L. Qi and Z. Luo, Tensor Analysis: Spectral Theory and Special Tensors, SIAM, Philadelphia, 2017.

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5. S. Hu, L. Qi, and G. Zhang, Computing the geometric measure of entanglement of multipartite pure states by means of non-negative tensors, Phys. Rev. A 93 (2016), 012304, 10.1103/PhysRevA.93.012304.

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