 Calculating C-eigenpairs of piezoelectric-type tensors via a Z-eigenpair methodXifu Liu and Changxin Mo Applied Mathematics and Computation, 2022, vol. 426, issue C Abstract: The computation of C-eigenvalues and their corresponding C-eigenvectors of a given third-order piezoelectric-type tensor is generally difficult by its original definition. In this paper, we attempt to find a convenient pathway for this topic. To reach this goal, a series of steps is performed with the intention of using pioneering results on Z-eigenpairs. Firstly, a fourth-order symmetric tensor is constructed according to a given piezoelectric-type tensor. Secondly, we show the relationships between C-eigenpairs of a piezoelectric-type tensor and Z-eigenpairs of the constructed fourth-order symmetric tensor. Finally, by computing all non-negative Z-eigenvalues of the constructed fourth-order symmetric tensor, we obtain all C-eigenvalues of the piezoelectric-type tensor; and then their C-eigenvectors can be got correspondingly. To validate efficiency of the method based on the foregoing three main steps, some numerical experiments are also presented. From the results obtained, it can be found that the method we proposed is valid. Keywords: Piezoelectric-type tensor; C-Eigenvalue; Z-Eigenvalue; Symmetric tensor; Non-negative eigenvalue; Z-Eigenpair method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002089 DOI: 10.1016/j.amc.2022.127124 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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