Back to Search Start Over

Positive definiteness of fourth order three dimensional symmetric tensors

Authors :
Song, Yisheng
Publication Year :
2024

Abstract

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.<br />Comment: 9 Pages

Subjects

Subjects :
Mathematics - Classical Analysis and ODEs
Mathematics - Optimization and Control

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2406.04010
Document Type :
Working Paper

Tools

Authors Abstract Subjects Details