{"title":"域上小秩张量分解的唯一性","authors":"E. Ballico","doi":"10.47443/ejm.2022.007","DOIUrl":null,"url":null,"abstract":"We study the uniqueness of a decomposition of a tensor over a field as a sum of rank 1 tensors, when the tensor has low rank, up to 3 . We put this in a more general framework ( X -rank) and study two different definitions of decompositions over a given (not algebraically closed) field","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"20 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Uniqueness of the Tensor Decomposition for Tensors With Small Ranks Over a Field\",\"authors\":\"E. Ballico\",\"doi\":\"10.47443/ejm.2022.007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the uniqueness of a decomposition of a tensor over a field as a sum of rank 1 tensors, when the tensor has low rank, up to 3 . We put this in a more general framework ( X -rank) and study two different definitions of decompositions over a given (not algebraically closed) field\",\"PeriodicalId\":29770,\"journal\":{\"name\":\"International Electronic Journal of Mathematics Education\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-04-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Electronic Journal of Mathematics Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/ejm.2022.007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/ejm.2022.007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
Uniqueness of the Tensor Decomposition for Tensors With Small Ranks Over a Field
We study the uniqueness of a decomposition of a tensor over a field as a sum of rank 1 tensors, when the tensor has low rank, up to 3 . We put this in a more general framework ( X -rank) and study two different definitions of decompositions over a given (not algebraically closed) field
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
