Z-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order tensors

DOI10.1007/s40840-019-00727-7zbMath1434.15009OpenAlexW2911915483WikidataQ114218478 ScholiaQ114218478MaRDI QIDQ2305606

Guangjun Xu, Jun He, Yan-Min Liu

Publication date: 11 March 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00727-7

zbMATH Keywords

positive definitenessZ-eigenvaluefourth-order tensor

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items

New \(Z\)-eigenvalue localization sets for tensors with applications ⋮ A new Brauer-type \(Z\)-eigenvalue inclusion set for even-order tensors ⋮ \(H\)-eigenvalue inclusion sets for sparse tensors ⋮ Further study on \(Z\)-eigenvalue localization set and positive definiteness of fourth-order tensors ⋮ Optimal \(Z\)-eigenvalue inclusion intervals for even order 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

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