\(E\)-eigenvalue localization sets for tensors

DOI10.3934/jimo.2019042zbMath1449.15017OpenAlexW2945072918MaRDI QIDQ2190328

Zhen Chen, Caili Sang

Publication date: 18 June 2020

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2019042

zbMATH Keywords

spectral radiusnonnegative tensors\(Z\)-eigenvalueslocalization sets\(E\)-eigenvalues

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (5)

A new Brauer-type \(Z\)-eigenvalue inclusion set for even-order tensors ⋮ Optimal \(Z\)-eigenvalue inclusion intervals for even order tensors and their applications ⋮ Optimal \(Z\)-eigenvalue inclusion intervals of tensors and their applications ⋮ E-eigenvalue inclusion theorems for tensors ⋮ Z-eigenvalue intervals of even-order tensors with application to judge the strong ellipticity of an elasticity tensor

Cites Work

• Unnamed Item
• Unnamed Item
• Bounds for the Z-eigenpair of general nonnegative tensors
• On the convergence of a greedy rank-one update algorithm for a class of linear systems
• Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
• \(Z\)-eigenpair bounds for an irreducible nonnegative tensor
• A new \(Z\)-eigenvalue localization set for tensors
• \(Z\)-eigenvalue inclusion theorems for tensors
• A proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach
• An \(S\)-type eigenvalue localization set for tensors
• Some remarks on greedy algorithms
• Upper bound for the largest \(Z\)-eigenvalue of positive tensors
• A new eigenvalue inclusion set for tensors and its applications
• Two \(S\)-type \( Z\)-eigenvalue inclusion sets for tensors
• Two new eigenvalue localization sets for tensors and theirs applications
• Eigenvalues of a real supersymmetric tensor
• Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines
• Rank-One Approximation to High Order Tensors
• On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
• An eigenvalue localization set for tensors with applications to determine the positive (semi-)definiteness of tensors
• A new Brauer-type eigenvalue localization set for tensors
• The Best Rank-One Approximation Ratio of a Tensor Space
• Shifted Power Method for Computing Tensor Eigenpairs
• On the successive supersymmetric rank-1 decomposition of higher-order supersymmetric tensors
• Output feedback stabilization and related problems-solution via decision methods
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• New eigenvalue inclusion sets for tensors
• Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors
• Higher Order Positive Semidefinite Diffusion Tensor Imaging

This page was built for publication: \(E\)-eigenvalue localization sets for tensors