Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph

DOI10.1080/03081087.2015.1120702zbMath1338.15051arXiv1507.07460OpenAlexW2228500990MaRDI QIDQ2805659

Changjiang Bu, Lizhu Sun, Baodong Zheng, Yi-Min Wei

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07460

zbMATH Keywords

spectral radiusnonnegative tensor

Mathematics Subject Classification ID

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

Related Items (4)

Principal eigenvectors and spectral radii of uniform hypergraphs ⋮ Brauer-type eigenvalue inclusion sets and the spectral radius of tensors ⋮ On some spectral radius inequalities for the Hadamard product of nonnegative tensors ⋮ Some inequalities for the Hadamard product of tensors

Cites Work

• Spectra of uniform hypergraphs
• \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors
• The largest Laplacian and signless Laplacian \(H\)-eigenvalues of a uniform hypergraph
• On spectral hypergraph theory of the adjacency tensor
• Perron-Frobenius theorem for nonnegative tensors
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• Geometric simplicity of spectral radius of nonnegative irreducible tensors
• The Laplacian of a uniform hypergraph
• Brualdi-type eigenvalue inclusion sets of tensors
• A general product of tensors with applications
• Eigenvalues of a real supersymmetric tensor
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors
• Matrices eigenvalues, and directed graphs
• Combinatorial Matrix Theory

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