An inequality for the Perron pair of an irreducible and symmetric nonnegative tensor with application

DOI10.1007/s40305-016-0138-yzbMath1372.15012OpenAlexW2548472203MaRDI QIDQ2014674

Mao-Lin Che, Yi-Min Wei

Publication date: 25 August 2017

Published in: Journal of the Operations Research Society of China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40305-016-0138-y

zbMATH Keywords

perturbationsmallest eigenvaluesymmetric tensorarithmetic-geometric mean inequalitynonnegative tensorirreducible tensorPerron pairH-eigenpair\(\mathcal {M}\)-tensoralgebraic simple eigenvaluestochastic tensors

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Uses Software

• TensorToolbox

Cites Work

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• Tensor Decompositions and Applications
• Some bounds for the spectral radius of nonnegative tensors
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• Eigenvalues of a real supersymmetric tensor
• Einschliessungssatz für die charakteristischen Zahlen von Matrizen
• Perturbation bounds of tensor eigenvalue and singular value problems with even order
• $M$-Tensors and Some Applications
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• The Best Rank-One Approximation Ratio of a Tensor Space
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors II
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Computing the Smallest Eigenvalue of an M-Matrix
• Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor

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