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Positive definiteness of fourth order three dimensional symmetric tensors

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中文摘要

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.

YishengSong

Chongqing Normal University

10.12074/202406.00075V1

数理科学

Positive definiteness Fourth order tensors Homogeneous polynomial.

YishengSong.Positive definiteness of fourth order three dimensional symmetric tensors[EB/OL].(2024-06-06)[2024-06-17].https://chinaxiv.org/abs/202406.00075V1.点此复制

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版本 时间 DOI号 操作
v22024-06-13 15:23:3610.12074/202406.00075V2查看来源
v1(当前版本)2024-06-06 20:43:2910.12074/202406.00075V1查看来源

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