对称欧几里得距离的显式全局最小化用对称平方实矩阵的表征

IF 1.6 2区 数学 Q2 MATHEMATICS, APPLIED
P. Neff, Andreas Fischle, L. Borisov
{"title":"对称欧几里得距离的显式全局最小化用对称平方实矩阵的表征","authors":"P. Neff, Andreas Fischle, L. Borisov","doi":"10.1137/18M1179663","DOIUrl":null,"url":null,"abstract":"We determine the optimal orthogonal matrices $R \\in {{O}}(n)$ which minimize the symmetrized Euclidean distance $W\\colon {{O}}(n) \\to \\Bbb{R}, \\; W(R\\,;D) \\;:=\\; \\vert\\vert{{sym}(R D - \\mathbbm{1})...","PeriodicalId":48489,"journal":{"name":"SIAM Journal on Applied Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Explicit Global Minimization of the Symmetrized Euclidean Distance by a Characterization of Real Matrices with Symmetric Square\",\"authors\":\"P. Neff, Andreas Fischle, L. Borisov\",\"doi\":\"10.1137/18M1179663\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine the optimal orthogonal matrices $R \\\\in {{O}}(n)$ which minimize the symmetrized Euclidean distance $W\\\\colon {{O}}(n) \\\\to \\\\Bbb{R}, \\\\; W(R\\\\,;D) \\\\;:=\\\\; \\\\vert\\\\vert{{sym}(R D - \\\\mathbbm{1})...\",\"PeriodicalId\":48489,\"journal\":{\"name\":\"SIAM Journal on Applied Algebra and Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIAM Journal on Applied Algebra and Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1137/18M1179663\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Journal on Applied Algebra and Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/18M1179663","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 10

摘要

我们确定了最优正交矩阵$R \in {{O}}(n)$,使对称欧几里得距离$W\colon {{O}}(n) \到\Bbb{R}, \;W (R \; D) \;: = \;\vert\vert{{sym}(R D - \mathbbm{1})…
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Explicit Global Minimization of the Symmetrized Euclidean Distance by a Characterization of Real Matrices with Symmetric Square
We determine the optimal orthogonal matrices $R \in {{O}}(n)$ which minimize the symmetrized Euclidean distance $W\colon {{O}}(n) \to \Bbb{R}, \; W(R\,;D) \;:=\; \vert\vert{{sym}(R D - \mathbbm{1})...
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
CiteScore
2.20
自引率
0.00%
发文量
19
×
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