{"title":"对称三元形式的Schur划分和不等式的可读证明","authors":"Fangjian Huang, Shengli Chen","doi":"10.1145/1073884.1073911","DOIUrl":null,"url":null,"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.","PeriodicalId":311546,"journal":{"name":"Proceedings of the 2005 international symposium on Symbolic and algebraic computation","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Schur partition for symmetric ternary forms and readable proof to inequalities\",\"authors\":\"Fangjian Huang, Shengli Chen\",\"doi\":\"10.1145/1073884.1073911\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":311546,\"journal\":{\"name\":\"Proceedings of the 2005 international symposium on Symbolic and algebraic computation\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2005 international symposium on Symbolic and algebraic computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/1073884.1073911\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2005 international symposium on Symbolic and algebraic computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1073884.1073911","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Schur partition for symmetric ternary forms and readable proof to inequalities
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.