An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor. (November 2021)

• Record Type: Journal Article
• Authors: He, Jun; Liu, Yanmin; Xu, Guangjun
• Is Part Of: Applied mathematics letters. Volume 121(2021)
• Publication Date: 2021-11
• Subjects: C-eigenvalue -- C-eigenvector -- Piezoelectric-type tensors -- Inclusion set; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107448
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: C-eigenvalues of piezoelectric-type tensors play the key role in Piezoelectric effect and converse Piezoelectric effect, and the largest C-eigenvalue determines the highest piezoelectric coupling constant. In this paper, an S -type inclusion set for C-eigenvalues of a piezoelectric-type tensor is given by breaking N = { 1, 2, …, n } into disjoint subsets S and its complement, which is proved always better than the existed results. Finally, numerical experiments are reported to show the efficiency of the proposed new S -type inclusion set.