Positive definiteness of fourth order three dimensional symmetric tensors
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916369242521600 |
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| author | Song, Yisheng |
| author_facet | Song, Yisheng |
| contents | For a 4th order 3-dimensional symmetric tensor with its some entries $1$ or $-1$, we show the analytic sufficient and necessary conditions of its positive definiteness. By applying these conclusions, several strict inequalities is bulit for ternary quartic homogeneous polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04010 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Positive definiteness of fourth order three dimensional symmetric tensors Song, Yisheng Classical Analysis and ODEs Optimization and Control For a 4th order 3-dimensional symmetric tensor with its some entries $1$ or $-1$, we show the analytic sufficient and necessary conditions of its positive definiteness. By applying these conclusions, several strict inequalities is bulit for ternary quartic homogeneous polynomials. |
| title | Positive definiteness of fourth order three dimensional symmetric tensors |
| topic | Classical Analysis and ODEs Optimization and Control |
| url | https://arxiv.org/abs/2406.04010 |