{"title":"On the interval Gaussian algorithm","authors":"G. Mayer","doi":"10.1109/SCAN.2006.34","DOIUrl":null,"url":null,"abstract":"We give a survey on criteria for the feasibility and non- feasibility of the interval Gaussian algorithm. In particular, we consider generalized diagonally dominant matrices, appropriate sparse matrices, and Hessenberg matrices. Moreover, we recall alternative representations and pivoting.","PeriodicalId":388600,"journal":{"name":"12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCAN.2006.34","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We give a survey on criteria for the feasibility and non- feasibility of the interval Gaussian algorithm. In particular, we consider generalized diagonally dominant matrices, appropriate sparse matrices, and Hessenberg matrices. Moreover, we recall alternative representations and pivoting.