| Citation: |
Juan Zhang, Xiaonv Liang. FURTHER RESULTS OF M-EIGENVALUE LOCALIZATION THEOREM FOR FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS AND THEIR APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3134-3161. doi: 10.11948/20230477
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FURTHER RESULTS OF M-EIGENVALUE LOCALIZATION THEOREM FOR FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS AND THEIR APPLICATIONS
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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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References
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Juan Zhang, Xiaonv Liang. FURTHER RESULTS OF M-EIGENVALUE LOCALIZATION THEOREM FOR FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS AND THEIR APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3134-3161. doi: 10.11948/20230477
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Figure 1.
Comparison of inclusion sets of Example 2.1.
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Figure 2.
Comparison of inclusion sets of Example 2.2.
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Figure 3.
Numerical results of Example 4.1.