Schur partition for symmetric ternary forms and readable proof to inequalities

Authors:
Fangjian Huang;Shengli Chen
Affiliations:
Chinese Academy of Science, Chengdu, Sichuan, China;Chinese Academy of Science, Chengdu, Sichuan, China
Venue:
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
Year:
2005

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Abstract

In this paper, we give a way to partition the ternary symmetric forms. Based on this method, we get a sufficient condition for ternary form to be positive semi-definite. At the end of the paper, we will show the application of the partition.