Perturbation bounds for the largest C-eigenvalue of piezoelectric-type tensors
Numerical Analysis
2023-07-21 v1 Numerical Analysis
Abstract
In this paper, we focus on the perturbation analysis of the largest C-eigenvalue of the piezoelectric-type tensor which has concrete physical meaning which determines 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.
Keywords
Cite
@article{arxiv.2307.10775,
title = {Perturbation bounds for the largest C-eigenvalue of piezoelectric-type tensors},
author = {Xifu Liu and Dongdong Liu and Yaping Shi},
journal= {arXiv preprint arXiv:2307.10775},
year = {2023}
}