The C-eigenvalue of third order tensors and its application in crystals

DOI10.3934/jimo.2021183OpenAlexW3214718338WikidataQ114022570 ScholiaQ114022570MaRDI QIDQ2083372

Antal Jákli, Yannan Chen, Liqun Qi

Publication date: 10 October 2022

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2021183

zbMATH Keywords

eigenvalueeigenvectorcrystalpiezoelectric effectpiezoelectric tensor

Mathematics Subject Classification ID

Nonlinear programming (90C30) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items

Localization and calculation for C-eigenvalues of a piezoelectric-type tensor ⋮ Perturbation bounds for the largest \(C\)-eigenvalue of piezoelectric-type tensors ⋮ A review on octupolar tensors ⋮ Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration ⋮ 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

Cites Work

• D-eigenvalues of diffusion kurtosis tensors
• C-eigenvalue inclusion theorems for piezoelectric-type tensors
• Tensor eigenvalues and their applications
• The number of eigenvalues of a tensor
• \(C\)-eigenvalues intervals for piezoelectric-type tensors
• A new C-eigenvalue interval for piezoelectric-type tensors
• Eigenvalues of a real supersymmetric tensor
• Rank-One Approximation to High Order Tensors
• Octupolar tensors for liquid crystals
• Tensor Analysis