| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2023-0477 |
| Further results of M-eigenvalue localization theorem for fourth-order partially symmetric tensors and their applications |
| Juan Zhang |
| Keywords:Partially symmetric tensors, M-eigenvalue, Strong ellipticity condition |
| Abstract: |
| In this paper, we give some new M-eigenvalue inclusion theorems for fourth-order partially symmetric tensors, which are more tighter than some existing inclusion sets. On the basis, some new upper bounds of the M-spectral radius are presented. Further, as applications, we propose sufficient conditions for the strong ellipticity condition in the elastic materials. Numerical examples are shown to illustrate validity and superiority of our results. |
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