Calculating C-eigenpairs of piezoelectric-type tensors via a Z-eigenpair method
作者：
Highlights：
• The computation of C-eigenvalues and their corresponding C-eigenvectors of thirdorder piezoelectric-type tensors is considered.
• A new symmetric fourth-order tensor is constructed according to a given piezoelectric-type tensor.
• The relationships of the fourth-order tensor and third-order piezoelectric-type tensor are proved theoretically.
• By computing Z-eigenpairs of the fourth-order tensor, we can obtain our goal.
• Numerical examples show our method is feasible.
摘要
•The computation of C-eigenvalues and their corresponding C-eigenvectors of thirdorder piezoelectric-type tensors is considered.•A new symmetric fourth-order tensor is constructed according to a given piezoelectric-type tensor.•The relationships of the fourth-order tensor and third-order piezoelectric-type tensor are proved theoretically.•By computing Z-eigenpairs of the fourth-order tensor, we can obtain our goal.•Numerical examples show our method is feasible.
论文关键词：Piezoelectric-type tensor,C-Eigenvalue,Z-Eigenvalue,Symmetric tensor,Non-negative eigenvalue,Z-Eigenpair method
论文评审过程：Received 4 November 2021, Revised 27 February 2022, Accepted 24 March 2022, Available online 6 April 2022, Version of Record 6 April 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127124
