Perturbation bounds for the largest \(C\)-eigenvalue of piezoelectric-type tensors. (English) Zbl 1526.15009
Summary: 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.
MSC:
| 15A18 | Eigenvalues, singular values, and eigenvectors |
| 15A69 | Multilinear algebra, tensor calculus |
| 15A42 | Inequalities involving eigenvalues and eigenvectors |
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