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2022, Volume 30, Issue 4: 1419-1441. doi: 10.3934/era.2022074
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Localization and calculation for C-eigenvalues of a piezoelectric-type tensor

  • College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025, China

  • Academic Editor: Xian-Ming Gu
  • Received: 28 December 2021 Revised: 12 March 2022 Accepted: 13 March 2022 Published: 21 March 2022

  • The largest C-eigenvalue of a piezoelectric tensor determines the highest piezoelectric coupling constant. In this paper, we first provide a new C-eigenvalue localization set for a piezoelectric-type tensor and prove that it is tighter than some existing sets. And then, we present a direct method to find all C-eigentriples of a piezoelectric-type tensor of dimension 3. Finally, we show the effectiveness of the direct method by numerical examples.

    Citation: Shunjie Bai, Caili Sang, Jianxing Zhao. Localization and calculation for C-eigenvalues of a piezoelectric-type tensor[J]. Electronic Research Archive, 2022, 30(4): 1419-1441. doi: 10.3934/era.2022074

    Related Papers:

  • The largest C-eigenvalue of a piezoelectric tensor determines the highest piezoelectric coupling constant. In this paper, we first provide a new C-eigenvalue localization set for a piezoelectric-type tensor and prove that it is tighter than some existing sets. And then, we present a direct method to find all C-eigentriples of a piezoelectric-type tensor of dimension 3. Finally, we show the effectiveness of the direct method by numerical examples.


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