Open AccessProperties and calculation for <i>C</i>-eigenvalues of a piezoelectric-type tensor
Author(s) -
Jianxing Zhao,
Jincheng Luo
Publication year - 2022
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2021162
Subject(s) - eigenvalues and eigenvectors , tensor (intrinsic definition) , type (biology) , mathematics , mathematical analysis , combinatorics , pure mathematics , physics , quantum mechanics , ecology , biology
This paper mainly considers the C -eigenvalues of a piezoelectric-type tensor. For this, we first discuss its relationship with \begin{document}$ l^{k, s} $\end{document} -singular values of a partially symmetric rectangular tensor, and then present three types of C -eigenvalue inclusion intervals which can be used to locate all C -eigenvalues of a piezoelectric-type tensor and can provide an upper and a lower bound for the largest C -eigenvalue of a piezoelectric-type tensor. Finally, we present an alternative method to compute all C -eigenpairs of a piezoelectric-type tensor.