{"title":"数值正则分解算法及其应用","authors":"R.P. Tarasov","doi":"10.1016/0041-5553(90)90070-9","DOIUrl":null,"url":null,"abstract":"<div><p>A study is made of numerical algorithms for canonical factorization, of two types: a) polar decomposition of an arbitrary bounded operator in <em>H</em>-space, and b) factorization of an operator-valued function of the unilateral shift operator in the space <em>l</em><sub>2</sub>.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 1-12"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90070-9","citationCount":"0","resultStr":"{\"title\":\"Numerical canonical factorization algorithms and their application\",\"authors\":\"R.P. Tarasov\",\"doi\":\"10.1016/0041-5553(90)90070-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A study is made of numerical algorithms for canonical factorization, of two types: a) polar decomposition of an arbitrary bounded operator in <em>H</em>-space, and b) factorization of an operator-valued function of the unilateral shift operator in the space <em>l</em><sub>2</sub>.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 2\",\"pages\":\"Pages 1-12\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90070-9\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0041555390900709\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0041555390900709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical canonical factorization algorithms and their application
A study is made of numerical algorithms for canonical factorization, of two types: a) polar decomposition of an arbitrary bounded operator in H-space, and b) factorization of an operator-valued function of the unilateral shift operator in the space l2.
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