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

Author:

Zhao Jianxing,Luo Jincheng

Abstract

<p style='text-indent:20px;'>This paper mainly considers the <i>C</i>-eigenvalues of a piezoelectric-type tensor. For this, we first discuss its relationship with <inline-formula><tex-math id="M1">\begin{document}$ l^{k, s} $\end{document}</tex-math></inline-formula>-singular values of a partially symmetric rectangular tensor, and then present three types of <i>C</i>-eigenvalue inclusion intervals which can be used to locate all <i>C</i>-eigenvalues of a piezoelectric-type tensor and can provide an upper and a lower bound for the largest <i>C</i>-eigenvalue of a piezoelectric-type tensor. Finally, we present an alternative method to compute all <i>C</i>-eigenpairs of a piezoelectric-type tensor.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Strategy and Management,Business and International Management,Applied Mathematics,Control and Optimization,Strategy and Management,Business and International Management

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