New [formula omitted]-type localization sets for [formula omitted]-eigenvalues of a piezoelectric-type tensor

Abstract

The C-eigenvalues of piezoelectric-type tensors play an important role in piezoelectric effect and converse piezoelectric effect. By breaking N={1,2,…,n} into disjoint subsets S and S¯, He et al. (2021) provided an S-type inclusion set to locate all C-eigenvalues of a piezoelectric-type tensor. In this paper, we give two new S-type localization sets for C-eigenvalues of a piezoelectric-type tensor. Moreover, the theoretical comparisons of these localization sets are established. Finally, numerical experiments are performed to show the effectiveness of the main results.