{"title":"对称r-循环矩阵的非奇异性","authors":"C. Dong","doi":"10.1109/ICCCS.2009.33","DOIUrl":null,"url":null,"abstract":"Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly . R-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1], we give some discriminations by using only the elements in the first row of the r-circulant matrix in the diagonal matrix on non singularity, and give two examples at last.","PeriodicalId":103274,"journal":{"name":"2009 International Conference on Computer and Communications Security","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Nonsingularity on the Symmetric r-Circulant Matrices\",\"authors\":\"C. Dong\",\"doi\":\"10.1109/ICCCS.2009.33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly . R-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1], we give some discriminations by using only the elements in the first row of the r-circulant matrix in the diagonal matrix on non singularity, and give two examples at last.\",\"PeriodicalId\":103274,\"journal\":{\"name\":\"2009 International Conference on Computer and Communications Security\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Conference on Computer and Communications Security\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCCS.2009.33\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Computer and Communications Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCCS.2009.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Nonsingularity on the Symmetric r-Circulant Matrices
Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly . R-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1], we give some discriminations by using only the elements in the first row of the r-circulant matrix in the diagonal matrix on non singularity, and give two examples at last.
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