{"title":"Rational Gram-Schmidt-Searching vs. Computing","authors":"Aaron E. Naiman","doi":"10.1109/SYNASC49474.2019.00015","DOIUrl":null,"url":null,"abstract":"We discuss building square, integer matrices, such that the Gram–Schmidt process leads to rational orthonormal matrices. We show some interesting properties that arise while searching for integer entries, as well as a process for doing this by direct computation.","PeriodicalId":102054,"journal":{"name":"2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC49474.2019.00015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We discuss building square, integer matrices, such that the Gram–Schmidt process leads to rational orthonormal matrices. We show some interesting properties that arise while searching for integer entries, as well as a process for doing this by direct computation.
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