C-eigenvalues and C-eigenvectors of piezoelectric-type tensors play an important role in
piezoelectric effect and converse piezoelectric effect. In this article, with the help of …

Some M-eigenvalue intervals of fourth-order structured partially symmetric tensors (PSTs)
are established to provide some checkable sufficient conditions for the strong ellipticity (also …

Strong ellipticity condition (SE-condition) of the equilibrium equations for general nonlinear
elastic materials can be equivalently transformed into the SE-condition of a partially …

M‐eigenvalues of fourth‐order partially symmetric tensors play important roles in the
nonlinear elastic material analysis and the entanglement problem of quantum physics. In …

Strong ellipticity condition of the equilibrium equations for general nonlinear elastic
materials plays a significant role in the theory of elasticity. Existing literature shows that it can …

In this article, based on M-identity tensor, we establish some parameterized S-type inclusion
intervals for fourth-order partially symmetric tensors. The new inclusion intervals are tighter …

Extremal M-eigenvalues of fourth-order partially symmetric tensors play an important role in
the nonlinear elastic material analysis and the entanglement problem in quantum physics. In …

The condition for strong ellipticity of the equilibrium equations plays a significant role in the
theory of elasticity. For isotropic elastic materials and anisotropic linearly elastic materials …

The strong ellipticity condition (abbr. SE-condition) of the displacement equations of
equilibrium for general nonlinearly elastic materials plays an important role in nonlinear …

Two new S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric
tensor are established. These inclusion theorems provide upper bounds for the M-spectral …