\(C\)-eigenvalues intervals for piezoelectric-type tensors

DOI10.1016/j.amc.2019.04.036zbMath1428.15025arXiv1704.02153OpenAlexW2963067277WikidataQ114211040 ScholiaQ114211040MaRDI QIDQ2279362

Chaoqian Li, Yajun Liu, Yao-Tang Li

Publication date: 12 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02153

zbMATH Keywords

interval\(C\)-eigenvaluespiezoelectric tensors

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (18)

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 ⋮ Perturbation bounds for the largest \(C\)-eigenvalue of piezoelectric-type tensors ⋮ A proximal alternating minimization algorithm 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 ⋮ A projection method based on discrete normalized dynamical system for computing C-eigenpairs ⋮ Shifted power method for computing the largest C-eigenvalue of a piezoelectric-type tensor ⋮ New \(S\)-type localization sets for \(C\)-eigenvalues of a piezoelectric-type tensor ⋮ An \(S\)-type inclusion set for \(C\)-eigenvalues 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 ⋮ The C-eigenvalue of third order tensors and its application in crystals ⋮ A new C-eigenvalue interval for piezoelectric-type tensors ⋮ α_βΩ-inclusion sets for general C-eigenvalues of a general piezoelectric-type tensor ⋮ Computing the largest C-eigenvalue of a tensor using convex relaxation

Cites Work

• C-eigenvalue inclusion theorems for piezoelectric-type tensors
• Tensor eigenvalues and their applications
• Rank-One Approximation to High Order Tensors
• Octupolar tensors for liquid crystals
• Tensor Analysis
• Unnamed Item

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