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C-eigenvalues intervals for piezoelectric-type tensors

Author

Listed:
  • Li, Chaoqian
  • Liu, Yajun
  • Li, Yaotang

Abstract

C-eigenvalues of piezoelectric-type tensors are real and always exist, and the largest C-eigenvalue for the piezoelectric tensor determines the highest piezoelectric coupling constant. In this paper, we give two intervals to locate all C-eigenvalues for a given piezoelectric-type tensor. These intervals provide upper bounds for the largest C-eigenvalue. Numerical examples are also given to show the corresponding results.

Suggested Citation

  • Li, Chaoqian & Liu, Yajun & Li, Yaotang, 2019. "C-eigenvalues intervals for piezoelectric-type tensors," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 244-250.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:244-250
    DOI: 10.1016/j.amc.2019.04.036
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    Cited by:

    1. Liu, Xifu & Mo, Changxin, 2022. "Calculating C-eigenpairs of piezoelectric-type tensors via a Z-eigenpair method," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    2. Yuning Yang & Chang Liang, 2022. "Computing the Largest C-Eigenvalue of a Tensor Using Convex Relaxation," Journal of Optimization Theory and Applications, Springer, vol. 192(2), pages 648-677, February.

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