Upper bound for the largest \(Z\)-eigenvalue of positive tensors

DOI10.1016/j.aml.2014.07.012zbMath1314.15016OpenAlexW2003079119MaRDI QIDQ2349462

Ting-Zhu Huang, Jun He

Publication date: 22 June 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.07.012

zbMATH Keywords

spectral radiusbounds\(Z\)-eigenvaluespositive tensor

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Multilinear algebra, tensor calculus (15A69)

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Cites Work

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• Symmetric nonnegative tensors and copositive tensors
• Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
• An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
• Eigenvalues and invariants of tensors
• Perron-Frobenius theorem for nonnegative tensors
• Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor
• Eigenvalues of a real supersymmetric tensor
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors
• Bounds for the Greatest Latent Roots of a Positive Matrix
• Bounds for the Greatest Latent Root of a Positive Matrix

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