Properties and calculation for <i>C</i>-eigenvalues of a piezoelectric-type tensor

This paper mainly considers the C -eigenvalues of a piezoelectric-type tensor. For this, we first discuss its relationship with \begin{document}$ l^{k, s} $\end{document} -singular values of a partially symmetric rectangular tensor, and then present three types of C -eigenvalue inclusion intervals which can be used to locate all C -eigenvalues of a piezoelectric-type tensor and can provide an upper and a lower bound for the largest C -eigenvalue of a piezoelectric-type tensor. Finally, we present an alternative method to compute all C -eigenpairs of a piezoelectric-type tensor.