Perturbation Bounds for the Largest C-Eigenvalue of Piezoelectric-Type Tensors

In this paper, we focus on the perturbation analysis of the largest C-eigenvalue of the piezoelectric-type tensor which could determine the highest piezoelectric coupling constant. Three perturbation bounds are presented, theoretical analysis and numerical examples show that the third perturbation bound has high accuracy when the norm of the perturbation tensor is small.

Automated summary

This paper focuses on the perturbation analysis of the largest C-eigenvalue of the piezoelectric-type tensor, which determines the highest piezoelectric coupling constant. Three perturbation bounds are proposed, and theoretical analysis and numerical examples demonstrate that the third perturbation bound achieves high accuracy when the norm of the perturbation tensor is small.