A New $C$-Eigenvalue Localisation Set for Piezoelectric-Type Tensors

DOI10.4208/EAJAM.060119.040619zbMath1464.15019OpenAlexW2999451053WikidataQ114021220 ScholiaQ114021220MaRDI QIDQ4986590

Jianzhou Liu, Liang Xiong

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.060119.040619

zbMATH Keywords

piezoelectric tensor\(C\)-eigenvalue\(C\)-eigenvalue localisation theorem\(C\)-eigenvector

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (8)

Localization and calculation for C-eigenvalues of a piezoelectric-type tensor ⋮ Calculating \(C\)-eigenpairs of piezoelectric-type tensors via a \(Z\)-eigenpair method ⋮ Properties and calculation for \(C\)-eigenvalues of a piezoelectric-type tensor ⋮ \(Z\)-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states ⋮ Shifted power method for computing the largest C-eigenvalue of a piezoelectric-type tensor ⋮ Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor ⋮ A tighter \(C\)-eigenvalue interval for piezoelectric-type tensors ⋮ Computing the largest C-eigenvalue of a tensor using convex relaxation

Cites Work

• Brauer-type eigenvalue inclusion sets and the spectral radius of tensors
• Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors
• C-eigenvalue inclusion theorems for piezoelectric-type tensors
• Brualdi-type eigenvalue inclusion sets of tensors
• Octupolar tensors for liquid crystals

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