A new C-eigenvalue interval for piezoelectric-type tensors

DOI10.1016/j.aml.2019.106035OpenAlexW2971811813WikidataQ114210623 ScholiaQ114210623MaRDI QIDQ2338263

Wenjie Wang, Y. J. Wang, Hai-Bin Chen

Publication date: 21 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106035

zbMATH Keywords

localization theoremC-eigenvalueC-eigenvectorpiezoelectric-type tensor

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) 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 (21)

Further results on sum-of-squares tensors ⋮ Optimal ordering policy for supply option contract with spot market ⋮ 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 ⋮ C-eigenvalue intervals for piezoelectric-type tensors via symmetric matrices ⋮ New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors ⋮ High-order sum-of-squares structured tensors: theory and applications ⋮ A relaxed self-adaptive projection algorithm for solving the multiple-sets split equality problem ⋮ Perturbation bounds for the largest \(C\)-eigenvalue of piezoelectric-type tensors ⋮ A review on octupolar tensors ⋮ Eigenvalue bounds of third-order tensors via the minimax eigenvalue of symmetric matrices ⋮ Shifted power method for computing the largest C-eigenvalue of a piezoelectric-type tensor ⋮ Geometry of the Copositive Tensor Cone and its Dual ⋮ An \(S\)-type inclusion set for \(C\)-eigenvalues of a piezoelectric-type tensor ⋮ An SDP method for copositivity of partially symmetric tensors ⋮ Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor ⋮ New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications ⋮ A tighter \(C\)-eigenvalue interval for piezoelectric-type tensors ⋮ The C-eigenvalue of third order tensors and its application in crystals ⋮ Computing the largest C-eigenvalue of a tensor using convex relaxation

Cites Work

• A new Brauer-type \(Z\)-eigenvalue inclusion set for tensors
• C-eigenvalue inclusion theorems for piezoelectric-type tensors
• \(C\)-eigenvalues intervals for piezoelectric-type tensors
• Eigenvalues of a real supersymmetric tensor
• A new Brauer-type eigenvalue localization set for tensors
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