{"title":"根多项式的存在性及其性质","authors":"Yuan-Yuan Li","doi":"10.1109/ICDMA.2012.216","DOIUrl":null,"url":null,"abstract":"This thesis is devoted to study the existence and properties of the root polynomial .Relationship between the root polynomial of a complex matrix and its m-th roots is also investigated. We establish the key theorem concerning necessary and sufficient conditions of the existence of the root polynomial .","PeriodicalId":393655,"journal":{"name":"International Conference on Digital Manufacturing and Automation","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Existence and Properties of the Root Polynomial\",\"authors\":\"Yuan-Yuan Li\",\"doi\":\"10.1109/ICDMA.2012.216\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This thesis is devoted to study the existence and properties of the root polynomial .Relationship between the root polynomial of a complex matrix and its m-th roots is also investigated. We establish the key theorem concerning necessary and sufficient conditions of the existence of the root polynomial .\",\"PeriodicalId\":393655,\"journal\":{\"name\":\"International Conference on Digital Manufacturing and Automation\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Digital Manufacturing and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICDMA.2012.216\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Digital Manufacturing and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICDMA.2012.216","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Existence and Properties of the Root Polynomial
This thesis is devoted to study the existence and properties of the root polynomial .Relationship between the root polynomial of a complex matrix and its m-th roots is also investigated. We establish the key theorem concerning necessary and sufficient conditions of the existence of the root polynomial .