학술논문
Localization and calculation for C-eigenvalues of a piezoelectric-type tensor
Document Type
article
Author
Source
Electronic Research Archive, Vol 30, Iss 4, Pp 1419-1441 (2022)
Subject
Language
English
ISSN
2688-1594
Abstract
The largest C-eigenvalue of a piezoelectric tensor determines the highest piezoelectric coupling constant. In this paper, we first provide a new C-eigenvalue localization set for a piezoelectric-type tensor and prove that it is tighter than some existing sets. And then, we present a direct method to find all C-eigentriples of a piezoelectric-type tensor of dimension 3. Finally, we show the effectiveness of the direct method by numerical examples.