BOUNDS FOR THE SPECTRAL RADIUS OF NONNEGATIVE TENSORS

Li Chaoqian; Wang Yaqiang; Yi Jieyi; Li Yaotang

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BOUNDS FOR THE SPECTRAL RADIUS OF NONNEGATIVE TENSORS

机译：非负张量的谱半径的界

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摘要

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), 2517-25301.

机译：提供了非负张量频谱半径的下限和上限。并且证明了这些界限比[Y. Yang，Q. Yang，非负张量的Perron-Frobenius定理的进一步结果，SIAM。 J.矩阵肛门。应用31（2010），2517-25301。

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来源
《Journal of industrial and management optimization》 |2016年第3期|975-990|共16页
作者
Li Chaoqian; Wang Yaqiang; Yi Jieyi; Li Yaotang;
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作者单位

Yunnan Univ, Sch Math & Stat, Kunming, Peoples R China;

Baoji Univ Arts & Sci, Inst Math & Informat Sci, Baoji, Peoples R China;

Beijing Normal Univ, Math Sci Coll, Beijing 100875, Peoples R China;

Yunnan Univ, Sch Math & Stat, Kunming, Peoples R China;

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正文语种 eng
中图分类
关键词
Spectral radius; nonnegative tensor; partitioned tensor; Perron-Frobenius theorem; bounds;

机译：谱半径;负张量;分区张量;Perron-Frobenius定理;界;

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2. Sharp bounds for spectral radius of nonnegative weakly irreducible tensors [J] . Frontiers of mathematics in China . 2019,第5期

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3. Brauer Upper Bound for the Z-Spectral Radius of Nonnegative Tensors [J] . Jun HE1, Hua KE1, Yanmin LIU1, 数学研究及应用：英文版 . 2019,第004期

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4. Bounds on the Spectral Radius of Nonnegative Matrices [C] . Fotis Babouklis, Maria Adam, Nicholas Assimakis International Conference on Mathematics and Computers in Science and Engineering . 2020

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5. An adaptive spectrally weighted structure tensor applied to tensor anisotropic nonlinear diffusion for hyperspectral images. [D] . Marin Quintero, Maider J. 2013

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6. Bounds for the Z-spectral radius of nonnegative tensors [O] . Jun He, Yan-Min Liu, Hua Ke, -1

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7. A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs [O] . Chuang Lv, Lihua You, Xiao-Dong Zhang 2020

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BOUNDS FOR THE SPECTRAL RADIUS OF NONNEGATIVE TENSORS

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