The perturbation bound for the spectral radius of a nonnegative tensor

DOI10.1155/2014/109525zbMath1307.65042OpenAlexW2108500795WikidataQ59047662 ScholiaQ59047662MaRDI QIDQ2260475

Wen Li, Michael Kwok-Po Ng

Publication date: 10 March 2015

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/109525

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Numerical computation of matrix norms, conditioning, scaling (65F35) Multilinear algebra, tensor calculus (15A69)

Related Items (6)

Some properties concerning Perron vectors of weakly irreducible nonnegative tensors, and their application to rigorous enclosure ⋮ A method with parameter for solving the spectral radius of nonnegative tensor ⋮ Perron vector analysis for irreducible nonnegative tensors and its applications ⋮ Perturbation bounds of tensor eigenvalue and singular value problems with even order ⋮ Perturbation theory for Moore-Penrose inverse of tensor via Einstein product ⋮ Some inequalities for nonnegative tensors

Cites Work

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• An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
• Perron-Frobenius theorem for nonnegative tensors
• Sensitivity analysis of nonnegative irreducible matrices
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• 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
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• A Multilinear Singular Value Decomposition

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