Open AccessC-eigenvalue intervals for piezoelectric-type tensors via symmetric matrices
Author(s) -
Xifu Liu,
Shuheng Yin,
Hanyu Li
Publication year - 2021
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.2020122
Subject(s) - piezoelectricity , converse , eigenvalues and eigenvectors , type (biology) , tensor (intrinsic definition) , mathematics , symmetry (geometry) , mathematical analysis , interval (graph theory) , pure mathematics , physics , combinatorics , geometry , acoustics , geology , quantum mechanics , paleontology
C-eigenvalues of piezoelectric-type tensors play an crucial role in piezoelectric effect and converse piezoelectric effect. In this paper, by the partial symmetry property of piezoelectric-type tensors, we present three intervals to locate all C-eigenvalues of a given piezoelectric-type tensor. Numerical examples show that our results are better than the existing ones.