首页|Calculating C-eigenpairs of piezoelectric-type tensors via a Z-eigenpair method
Calculating C-eigenpairs of piezoelectric-type tensors via a Z-eigenpair method
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NSTL
Elsevier
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 ten -sor. Secondly, we show the relationships between C-eigenpairs of a piezoelectric-type ten -sor and Z-eigenpairs of the constructed fourth-order symmetric tensor. Finally, by comput-ing 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. (c) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
