Positive definiteness of fourth order three dimensional symmetric tensors
Classical Analysis and ODEs
2024-08-27 v5 Optimization and Control
Abstract
For a 4th order 3-dimensional symmetric tensor with its some entries or , 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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@article{arxiv.2406.04010,
title = {Positive definiteness of fourth order three dimensional symmetric tensors},
author = {Yisheng Song},
journal= {arXiv preprint arXiv:2406.04010},
year = {2024}
}
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9 Pages