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Positive definiteness of fourth order three dimensional symmetric tensors

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摘要: For a 4th order 3-dimensional symmetric tensor with its 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.

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[V3] 2024-06-19 15:51:25 ChinaXiv:202406.00075V3 下载全文
[V2] 2024-06-13 15:23:36 ChinaXiv:202406.00075v2 查看此版本 下载全文
[V1] 2024-06-06 20:43:29 ChinaXiv:202406.00075v1 查看此版本 下载全文
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