{"title":"SVD矢量的直观解释","authors":"Robert D. Graff, K. Jabbusch, David James","doi":"10.1080/07468342.2023.2201567","DOIUrl":null,"url":null,"abstract":"Summary The SVD is currently becoming an increasingly important central pillar in linear algebra. A voice as authoritative and influential as Gil Strang’s remarked that although a few years ago the SVD was not even part of an introductory linear algebra course, “now it has to be.” To balance the already firmly established theoretical basis, we survey several intuitive conceptualizations for singular vectors and values, expand on them, and provide some original contributions.","PeriodicalId":38710,"journal":{"name":"College Mathematics Journal","volume":"54 1","pages":"200 - 211"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Intuitive Interpretations of SVD Vectors\",\"authors\":\"Robert D. Graff, K. Jabbusch, David James\",\"doi\":\"10.1080/07468342.2023.2201567\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary The SVD is currently becoming an increasingly important central pillar in linear algebra. A voice as authoritative and influential as Gil Strang’s remarked that although a few years ago the SVD was not even part of an introductory linear algebra course, “now it has to be.” To balance the already firmly established theoretical basis, we survey several intuitive conceptualizations for singular vectors and values, expand on them, and provide some original contributions.\",\"PeriodicalId\":38710,\"journal\":{\"name\":\"College Mathematics Journal\",\"volume\":\"54 1\",\"pages\":\"200 - 211\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"College Mathematics Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/07468342.2023.2201567\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Social Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"College Mathematics Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/07468342.2023.2201567","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Social Sciences","Score":null,"Total":0}
Summary The SVD is currently becoming an increasingly important central pillar in linear algebra. A voice as authoritative and influential as Gil Strang’s remarked that although a few years ago the SVD was not even part of an introductory linear algebra course, “now it has to be.” To balance the already firmly established theoretical basis, we survey several intuitive conceptualizations for singular vectors and values, expand on them, and provide some original contributions.