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Research Article | Open Access

Localization and calculation for C-eigenvalues of a piezoelectric-type tensor

Shunjie Bai, Caili Sang, Jianxing Zhao( )
College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025, China
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Abstract

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.

Keywords

piezoelectric tensorspiezoelectric-type tensorsC-eigenvaluesC-eigenvectorslocalization

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Electronic Research Archive
Volume 30 Issue 4,
April 2022
Pages 1419-1441
DOI: 10.3934/era.2022074

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Cite this article:
Bai S, Sang C, Zhao J. Localization and calculation for C-eigenvalues of a piezoelectric-type tensor. Electronic Research Archive, 2022, 30(4): 1419-1441. https://doi.org/10.3934/era.2022074

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Received: 28 December 2021
Revised: 12 March 2022
Accepted: 13 March 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)