The C-eigenvalue of third order tensors and its application in crystals.
In crystallography, piezoelectric tensors of various crystals play a crucial role in piezoelectric
effect and converse piezoelectric effect. Generally, a third order real tensor is called a …
effect and converse piezoelectric effect. Generally, a third order real tensor is called a …
Calculating C-eigenpairs of piezoelectric-type tensors via a Z-eigenpair method
X Liu, C Mo - Applied Mathematics and Computation, 2022 - Elsevier
The computation of C-eigenvalues and their corresponding C-eigenvectors of a given third-
order piezoelectric-type tensor is generally difficult by its original definition. In this paper, we …
order piezoelectric-type tensor is generally difficult by its original definition. In this paper, we …
A review on octupolar tensors
In its most restrictive definition, an octupolar tensor is a fully symmetric traceless third-rank
tensor in three space dimensions. So great a body of works have been devoted to this …
tensor in three space dimensions. So great a body of works have been devoted to this …
Eigenvalue bounds of third-order tensors via the minimax eigenvalue of symmetric matrices
S Li, Z Chen, C Li, J Zhao - Computational and Applied Mathematics, 2020 - Springer
Upper and lower bounds for H-eigenvalues, Z-spectral radius and C-spectral radius of a
third-order tensor are given by the minimax eigenvalue of symmetric matrices extracted from …
third-order tensor are given by the minimax eigenvalue of symmetric matrices extracted from …
C-eigenvalue intervals for piezoelectric-type tensors via symmetric matrices.
X Liu, S Yin, H Li - Journal of Industrial & Management …, 2021 - search.ebscohost.com
C-eigenvalues of piezoelectric-type tensors play an crucial role in piezoelectric effect and
converse piezoelectric effect. In this paper, by the partial symmetry property of piezoelectric …
converse piezoelectric effect. In this paper, by the partial symmetry property of piezoelectric …
Shifted eigenvalue decomposition method for computing C-eigenvalues of a piezoelectric-type tensor
C Liang, Y Yang - Computational and Applied Mathematics, 2021 - Springer
A piezoelectric-type tensor is of order three which is symmetric with respect to its last two
indices. The largest C-eigenvalue of a piezoelectric-type tensor determines the highest …
indices. The largest C-eigenvalue of a piezoelectric-type tensor determines the highest …
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor
J He, Y Liu, G Xu - Applied Mathematics Letters, 2021 - Elsevier
C-eigenvalues of piezoelectric-type tensors play the key role in Piezoelectric effect and
converse Piezoelectric effect, and the largest C-eigenvalue determines the highest …
converse Piezoelectric effect, and the largest C-eigenvalue determines the highest …
Properties and calculation for C-eigenvalues of a piezoelectric-type tensor.
J Zhao, J Luo - Journal of Industrial & Management …, 2022 - search.ebscohost.com
This paper mainly considers the C-eigenvalues of a piezoelectric-type tensor. For this, we
first discuss its relationship with lk, s-singular values of a partially symmetric rectangular …
first discuss its relationship with lk, s-singular values of a partially symmetric rectangular …
Perturbation Bounds for the Largest C-Eigenvalue of Piezoelectric-Type Tensors
X Liu, D Liu, Y Shi - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
In this paper, we focus on the perturbation analysis of the largest C-eigenvalue of the
piezoelectric-type tensor which could determine the highest piezoelectric coupling constant …
piezoelectric-type tensor which could determine the highest piezoelectric coupling constant …
Computing the largest C-eigenvalue of a tensor using convex relaxation
Y Yang, C Liang - Journal of Optimization Theory and Applications, 2022 - Springer
A piezoelectric-type tensor is of order three that is symmetric with respect to the last two
indices. Its largest C-eigenvalue determines the highest piezoelectric coupling constant …
indices. Its largest C-eigenvalue determines the highest piezoelectric coupling constant …