SVD矢量的直观解释

Q4 Social Sciences
Robert D. Graff, K. Jabbusch, David James
{"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}
引用次数: 0

摘要

SVD目前正成为线性代数中越来越重要的中心支柱。像吉尔·斯特朗(Gil Strang)这样权威和有影响力的声音评论道,尽管几年前SVD甚至还不是线性代数入门课程的一部分,但“现在它必须是。”为了平衡已经牢固确立的理论基础,我们调查了奇异向量和值的几个直观概念,对它们进行了扩展,并提供了一些原创贡献。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Intuitive Interpretations of SVD Vectors
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
College Mathematics Journal
College Mathematics Journal Social Sciences-Education
CiteScore
0.20
自引率
0.00%
发文量
52
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信