Results 11 to 20 of about 59,171 (165)

Quasi-Irreducibility of Nonnegative Biquadratic Tensors

Mathematics
While the adjacency tensor of a bipartite 2-graph is a nonnegative biquadratic tensor, it is inherently reducible. To address this limitation, we introduce the concept of quasi-irreducibility in this paper.
Liqun Qi, Chunfeng Cui, Yi Xu
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An S-type singular value inclusion set for rectangular tensors [PDF]

Journal of Inequalities and Applications, 2017
An S-type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results ...
Caili Sang
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New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors

Mathematics, 2018
In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-
Jun He, Yanmin Liu, Junkang Tian, Zhuanzhou Zhang   +3 more
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Pareto H-eigenvalues of nonnegative tensors and uniform hypergraphs [PDF]

, 2023
The Pareto H-eigenvalues of nonnegative tensors and (adjacency tensors of) uniform hypergraphs are studied. Particularly, it is shown that the Pareto H-eigenvalues of a nonnegative tensor are just the spectral radii of its weakly irreducible principal ...
Zhou, Bo, Zheng, Lu
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Quasi-Double Diagonally Dominant H-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors

, 2023
In this paper, we study two classes of quasi-double diagonally dominant tensors and prove they are H-tensors. Numerical examples show that two classes of H-tensors are mutually exclusive. Thus, we extend the decision conditions of H-tensors.
Xincun Wang, Hongbin Lv
core   +1 more source

M-Tensors and Some Applications [PDF]

, 2014
We introduce M-tensors. This concept extends the concept of M-matrices. We denote Z-tensors as the tensors with nonpositive off-diagonal entries. We show that M-tensors must be Z-tensors and the maximal diagonal entry must be nonnegative.
Guanglu Zhou (18515964), L. Qi (2057833), L. Zhang (1795612)   +2 more
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Power Function Method for Finding the Spectral Radius of Weakly Irreducible Nonnegative Tensors

, 2022
Since the eigenvalue problem of real supersymmetric tensors was proposed, there have been many results regarding the numerical algorithms for computing the spectral radius of nonnegative tensors, among which the NQZ method is the most studied.
Panpan Liu, Guimin Liu, Hongbin Lv
core   +1 more source

The largest eigenvalue of nonnegative tensors [PDF]

, 2013
In this thesis we study the methods for finding the largest eigenvalue of tensors. In particular, we study the convergence of the methods and show that the method for rectangular tensors is Q-linear convergence under weak irreducibility condition.
Nur Fadhilah Ibrahim (23298997)
core   +1 more source

M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors

Complexity, 2020
M-eigenvalues of fourth-order partially symmetric tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics.
Gang Wang, Linxuan Sun, Lixia Liu
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Sparse and Low-Rank Constrained Tensor Factorization for Hyperspectral Image Unmixing

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021
Third-order tensors have been widely used in hyperspectral remote sensing because of their ability to maintain the 3-D structure of hyperspectral images.
Pan Zheng, Hongjun Su, Qian Du
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