New sufficient condition for the positive definiteness of fourth order tensors (Q2337264)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New sufficient condition for the positive definiteness of fourth order tensors |
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New sufficient condition for the positive definiteness of fourth order tensors (English)
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19 November 2019
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Summary: In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the \(Z\)-spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-eigenvalue based sufficient condition for the positive definiteness of fourth order tensors is also presented. Finally, numerical examples are given to verify the efficiency of our results.
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fourth order tensor
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bound
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nonnegative tensor
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Z-eigenvalue
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positive definiteness
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