Sharp bounds on the minimum \(M\)-eigenvalue and strong ellipticity condition of elasticity \(Z\)-tensors-tensors
From MaRDI portal
Publication:2083409
DOI10.3934/jimo.2021205OpenAlexW3216175498WikidataQ114022569 ScholiaQ114022569MaRDI QIDQ2083409
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.2021205
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)
Related Items
Shifted inverse power method for computing the smallest M-eigenvalue of a fourth-order partially symmetric tensor ⋮ A direct method for calculating M-eigenvalues of an elasticity tensor
Cites Work
- New bounds for the minimum eigenvalue of \(\mathcal M\)-tensors
- \(Z\)-eigenvalue inclusion theorems for tensors
- A new Brauer-type \(Z\)-eigenvalue inclusion set for tensors
- Sufficient conditions for strong ellipticity for a class of anisotropic materials
- On the strong ellipticity of the anisotropic linearly elastic materials
- Conditions for strong ellipticity of anisotropic elastic materials
- Conditions for strong ellipticity and M-eigenvalues
- Positive definiteness of paired symmetric tensors and elasticity tensors
- Strong ellipticity of transversely isotropic elasticity tensors
- Bi-block positive semidefiniteness of bi-block symmetric tensors
- Robust extreme learning machine in the presence of outliers by iterative reweighted algorithm
- M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity
- \(Z\)-eigenvalue exclusion theorems for 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
- On the M-eigenvalue estimation of fourth-order partially symmetric tensors
- M-eigenvalue inclusion intervals for a fourth-order partially symmetric tensor
- \(M\)-tensors and nonsingular \(M\)-tensors
- $M$-Tensors and Some Applications
- A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
- Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations
- Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors
- Tensor Analysis
- Most Tensor Problems Are NP-Hard
- Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension
- On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials
