Further Study on <i>C</i>-Eigenvalue Inclusion Intervals for Piezoelectric Tensors
The <i>C</i>-eigenpair of piezoelectric tensors finds applications in the area of the piezoelectric effect and converse piezoelectric effect. In this paper, we provide some characterizations of <i>C</i>-eigenvectors by exploring the structure of piezoelectric tensors, and est...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-05-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/11/6/250 |
| Summary: | The <i>C</i>-eigenpair of piezoelectric tensors finds applications in the area of the piezoelectric effect and converse piezoelectric effect. In this paper, we provide some characterizations of <i>C</i>-eigenvectors by exploring the structure of piezoelectric tensors, and establish sharp <i>C</i>-eigenvalue inclusion intervals via Cauchy–Schwartz inequality. Further, we propose the lower and upper bounds of the largest <i>C</i>-eigenvalue and evaluate the efficiency of the best rank-one approximation of piezoelectric tensors. Numerical examples are proposed to verify the efficiency of the obtained results. |
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| ISSN: | 2075-1680 |