Bound estimations of bi-block $M$-eigenvalues for bi-block symmetric tensors

DOI10.3934/jimo.2022214OpenAlexW4312989306MaRDI QIDQ2691510

Zhechen Zhang, Gang Wang, San-Yang Liu, Li-Xia Liu

Publication date: 29 March 2023

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

Full work available at URL: https://doi.org/10.3934/jimo.2022214

zbMATH Keywords

bi-block (strictly) diagonally dominant tensor bi-block $M$-eigenvalue bi-block symmetric $B_0(B)$-tensor bi-block symmetric tensors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Special matrices (15B99)

Related Items (1)

Shifted inverse power method for computing the smallest M-eigenvalue of a fourth-order partially symmetric tensor

Cites Work

Unnamed Item
On copositive matrices and strong ellipticity for isotropic elastic materials
The strong ellipticity condition under changes in the current and reference configuration
Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
D-eigenvalues of diffusion kurtosis tensors
Conditions for strong ellipticity of anisotropic elastic materials
Conditions for strong ellipticity and M-eigenvalues
On the ellipticity of the equations of nonlinear elastostatics for a special material
On the failure of ellipticity of the equations for finite elastostatic plane strain
A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
Multivariate polynomial minimization and its application in signal processing
Positive definiteness of paired symmetric tensors and elasticity tensors
Bi-block positive semidefiniteness of bi-block symmetric tensors
M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity
Programmable sufficient conditions for the strong ellipticity of partially symmetric tensors
Some inequalities for the minimum M-eigenvalue of elasticity M-tensors
$M$-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order partially symmetric tensors
Elasticity $\mathcal{M} $-tensors and the strong ellipticity condition
$E$-eigenvalue localization sets for fourth-order tensors
On the M-eigenvalue estimation of fourth-order partially symmetric tensors
Several new estimates of the minimum $H$-eigenvalue for nonsingular $\mathcal{M}$-tensors
M-eigenvalue inclusion intervals for a fourth-order partially symmetric tensor
$M$-tensors and nonsingular $M$-tensors
Eigenvalues of a real supersymmetric tensor
A successive approximation method for quantum separability
$M$-Tensors and Some Applications
A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
Tensor Analysis
Higher Order Positive Semidefinite Diffusion Tensor Imaging

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Bound estimations of bi-block \(M\)-eigenvalues for bi-block symmetric tensors