C-eigenvalues intervals for Piezoelectric-type tensors
This is an incremental contribution for researchers studying piezoelectric materials, offering theoretical bounds for eigenvalue localization.
The paper provides two intervals to locate all C-eigenvalues for piezoelectric-type tensors, yielding upper bounds for the largest C-eigenvalue, which determines the highest piezoelectric coupling constant.
C-eigenvalues of piezoelectric-type tensors which are real and always exist, are introduced by Chen et al. [1]. 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.