A direct method for calculating M-eigenvalues of an elasticity tensor

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

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

Cites Work

Unnamed Item
Unnamed Item
Ellipticity and deformations with discontinuous gradients in finite elastostatics
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
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
Tensor eigenvalues and their applications
M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors
New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications
Sharp bounds on the minimum \(M\)-eigenvalue and strong ellipticity condition of elasticity \(Z\)-tensors-tensors
Criteria for the strong ellipticity condition of a partially symmetric tensor
M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity
Checkable criteria for the M-positive definiteness of fourth-order partially symmetric tensors
New M-eigenvalue inclusion sets for fourth-order partially symmetric tensors with applications
New S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor with applications
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
On the M-eigenvalue estimation of fourth-order partially symmetric tensors
M-eigenvalue inclusion intervals for a fourth-order partially symmetric tensor
A successive approximation method for quantum separability
New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors
Parameterized S-type M-eigenvalue inclusion intervals for fourth-order partially symmetric tensors and its 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
Using Algebraic Geometry
Mathematical Elasticity: Three-Dimensional Elasticity
Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network
Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors
On necessary and sufficient conditions of strong ellipticity of equilibrium equations for certain classes of anisotropic linearly elastic materials
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors

This page was built for publication: A direct method for calculating M-eigenvalues of an elasticity tensor