Two \(S\)-type \( Z\)-eigenvalue inclusion sets for tensors

DOI10.1186/s13660-017-1428-6zbMath1366.15008OpenAlexW2732637960WikidataQ41021419 ScholiaQ41021419MaRDI QIDQ2360408

Gang Wang, Ya-Nan Wang

Publication date: 3 July 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1428-6

zbMATH Keywords

\(Z\)-eigenvalue inclusion setslargest \(Z\)-eigenvalueweakly symmetric nonnegative tensors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (16)

Some inequalities for the Fan product of \(M\)-tensors ⋮ Pareto \(Z\)-eigenvalue inclusion theorems for tensor eigenvalue complementarity problems ⋮ Unnamed Item ⋮ New \(Z\)-eigenvalue localization sets for tensors with applications ⋮ \(Z\)-eigenvalue exclusion theorems for tensors ⋮ \(E\)-eigenvalue localization sets for tensors ⋮ A new Brauer-type \(Z\)-eigenvalue inclusion set for even-order tensors ⋮ Z-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglement ⋮ An efficient algorithm for finding the maximal eigenvalue of zero symmetric nonnegative matrices ⋮ Optimal \(Z\)-eigenvalue inclusion intervals for even order tensors and their applications ⋮ \(Z\)-eigenvalue localization sets for even order tensors and their applications ⋮ Exclusion sets in the \(S\)-type eigenvalue localization sets for tensors ⋮ \(E\)-eigenvalue localization sets for fourth-order tensors ⋮ Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors ⋮ Optimal \(Z\)-eigenvalue inclusion intervals of tensors and their applications ⋮ E-eigenvalue inclusion theorems for tensors

Cites Work

• Unnamed Item
• 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
• An \(S\)-type eigenvalue localization set for tensors
• On the uniqueness and non-uniqueness of the positive \(\mathcal Z\)-eigenvector for transition probability tensors
• Upper bound for the largest \(Z\)-eigenvalue of positive tensors
• Eigenvalues of a real supersymmetric tensor
• Rank-One Approximation to High Order Tensors
• On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
• Shifted Power Method for Computing Tensor Eigenpairs
• Upper Bounds for the Z-spectral Radius of Nonnegative Tensors
• On the limiting probability distribution of a transition probability tensor
• Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors

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