{"title":"用牛顿多边形法计算热带品种","authors":"Yue Ren","doi":"10.1145/3177795.3177797","DOIUrl":null,"url":null,"abstract":"We will demonstrate software for fast computation of tropical varieties. We give a brief overview of the first techniques developed by Bogart-Jensen-Speyer-Sturmfels-Thomas and show how its bottlenecks can be avoided, relying theoretically on recent results on the intersection of tropical varieties and practically on well-known algorithms in computer algebra.","PeriodicalId":7093,"journal":{"name":"ACM Commun. Comput. Algebra","volume":"16 1","pages":"83-85"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computing tropical varieties using Newton's polygon method\",\"authors\":\"Yue Ren\",\"doi\":\"10.1145/3177795.3177797\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We will demonstrate software for fast computation of tropical varieties. We give a brief overview of the first techniques developed by Bogart-Jensen-Speyer-Sturmfels-Thomas and show how its bottlenecks can be avoided, relying theoretically on recent results on the intersection of tropical varieties and practically on well-known algorithms in computer algebra.\",\"PeriodicalId\":7093,\"journal\":{\"name\":\"ACM Commun. Comput. Algebra\",\"volume\":\"16 1\",\"pages\":\"83-85\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Commun. Comput. Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3177795.3177797\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Commun. Comput. Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3177795.3177797","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computing tropical varieties using Newton's polygon method
We will demonstrate software for fast computation of tropical varieties. We give a brief overview of the first techniques developed by Bogart-Jensen-Speyer-Sturmfels-Thomas and show how its bottlenecks can be avoided, relying theoretically on recent results on the intersection of tropical varieties and practically on well-known algorithms in computer algebra.