Results 1 to 10 of about 59,171 (165)
Linear convergence of the NQZ algorithm for finding the H-spectral radius of nonnegative tensors. [PDF]
PLoS ONEThe R-linear convergence of the NQZ algorithm for computing the H-spectral radius of a class of weakly irreducible nonnegative tensors is established by utilizing the directed graphs of tensors. Meanwhile, an upper bound for the root convergence factor R
Hongbin Lv, Meixiang Chen
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Some inequalities on the spectral radius of nonnegative tensors
Open Mathematics, 2020 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.
Ma Chao +3 more
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A Very Brief Introduction to Nonnegative Tensors from the Geometric Viewpoint
Mathematics, 2018 This note is a short survey of nonnegative tensors, primarily from the geometric point of view. In addition to basic definitions, we discuss properties of and questions about nonnegative tensors, which may be of interest to geometers.
Yang Qi
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Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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A new bound for the spectral radius of nonnegative tensors [PDF]
Journal of Inequalities and Applications, 2017 By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor.
Suhua Li, Chaoqian Li, Yaotang Li
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Bounds for the Z-eigenpair of general nonnegative tensors
Open Mathematics, 2016 In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
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On Some Properties of the Max Algebra System Over Tensors [PDF]
Sahand Communications in Mathematical Analysis, 2018 Recently we generalized the max algebra system to the class of nonnegative tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized.
Ali Reza Shojaeifard, Hamid Reza Afshin
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V-singular values of rectangular tensors and their applications
Journal of Inequalities and Applications, 2019 The positive definiteness of rectangular tensors has wide applications in solid mechanics and quantum physics. By modifying the existing definition of singular value for rectangular tensors, some V-singular value inclusion sets for rectangular tensors ...
Jun He +3 more
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Hypergraph regularized nonnegative triple decomposition for multiway data analysis [PDF]
Scientific ReportsTucker decomposition is widely used for image representation, data reconstruction, and machine learning tasks, but the calculation cost for updating the Tucker core is high.
Qingshui Liao +2 more
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Two new lower bounds for the minimum eigenvalue of M-tensors
Journal of Inequalities and Applications, 2016 Two new lower bounds for the minimum eigenvalue of an irreducible M-tensor are given. It is proved that the new lower bounds improve the corresponding bounds obtained by He and Huang (J. Inequal. Appl. 2014:114, 2014).
Jianxing Zhao, Caili Sang
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