On the uniqueness of the positive Z-eigenvector for nonnegative tensors

DOI10.1016/j.cam.2018.11.032zbMath1408.15009OpenAlexW2902856872WikidataQ114202101 ScholiaQ114202101MaRDI QIDQ1736351

Yisheng Song, Lu-Bin Cui

Publication date: 26 March 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.11.032

zbMATH Keywords

eigenvalueuniquenessnonnegative tensorZ-eigenvector

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

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Cites Work

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• Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming
• Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
• Markov chains: models, algorithms and applications
• Perron-Frobenius theorem for nonnegative tensors
• A generalization of the Motzkin-Straus theorem to hypergraphs
• Algebraic connectivity of an even uniform hypergraph
• On the uniqueness and non-uniqueness of the positive \(\mathcal Z\)-eigenvector for transition probability tensors
• Properties of some classes of structured tensors
• Eigenvalues of a real supersymmetric tensor
• Ergodicity of nonlinear Markov operators on the finite dimensional space
• An eigenvalue problem for even order tensors with its applications
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Uniqueness in the Schauder Fixed Point Theorem
• On the limiting probability distribution of a transition probability tensor
• Higher Order Positive Semidefinite Diffusion Tensor Imaging

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