C-eigenvalues intervals for piezoelectric-type tensors

摘要

C-eigenvalues of piezoelectric-type tensors are real and always exist, and the largest C-eigenvalue for the piezoelectric tensor determines the highest piezoelectric coupling constant. In this paper, we give two intervals to locate all C-eigenvalues for a given piezoelectric-type tensor. These intervals provide upper bounds for the largest C-eigenvalue. Numerical examples are also given to show the corresponding results.