A new modified Newton iteration for computing nonnegative \(Z\)-eigenpairs of nonnegative tensors

DOI10.1016/j.aml.2022.108454OpenAlexW4296935023MaRDI QIDQ2106085

Ching-Sung Liu, Chun-Hua Guo, Wen-Wei Lin

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2207.07772

zbMATH Keywords

quadratic convergencenonnegative tensormodified Newton iterationnonnegative \(Z\)-eigenpair

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) Vector and tensor algebra, theory of invariants (15A72) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

Z-eigenvalue intervals of even-order tensors with application to judge the strong ellipticity of an elasticity tensor

Cites Work

• Unnamed Item
• Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
• A modified Newton iteration for finding nonnegative \(Z\)-eigenpairs of a nonnegative tensor
• On the uniqueness and non-uniqueness of the positive \(\mathcal Z\)-eigenvector for transition probability tensors
• Eigenvalues of a real supersymmetric tensor
• Newton Correction Methods for Computing Real Eigenpairs of Symmetric Tensors
• Multilinear PageRank
• Relaxation methods for solving the tensor equation arising from the higher‐order Markov chains

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