Aitken extrapolation method for computing the largest eigenvalue of nonnegative tensors

DOI10.1016/j.amc.2015.01.059zbMath1338.15052OpenAlexW2040583103MaRDI QIDQ300095

Ning Zheng, Xiao-He Kong, Jun-Feng Yin

Publication date: 23 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.059

zbMATH Keywords

tensoreigenvalueextrapolationirreduciblePerron-Frobenius

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Extrapolation to the limit, deferred corrections (65B05) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

An iterative method for finding the spectral radius of an irreducible nonnegative tensor

Cites Work

• An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
• Perron-Frobenius theorem for nonnegative tensors
• Eigenvalues of a real supersymmetric tensor
• A survey on the spectral theory of nonnegative tensors
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors II
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Linear Convergence of the LZI Algorithm for Weakly Positive Tensors
• Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor
• XX.—Studies in Practical Mathematics. II. The Evaluation of the Latent Roots and Latent Vectors of a Matrix

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