{"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":"197 1","pages":"31-43"},"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}
引用次数: 10
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})...
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