{"title":"超常的矩阵","authors":"Bob Roohparvar, Farzan Roohparvar, M. Malek","doi":"10.12988/pms.2021.91277","DOIUrl":null,"url":null,"abstract":"An n×n real matrix A is hypernormal if AP A t = A tP A , for all permutation matrices P . We shall explain how to construct hypernormal matrices.","PeriodicalId":155967,"journal":{"name":"Pure Mathematical Sciences","volume":"40 4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hypernormal matrices\",\"authors\":\"Bob Roohparvar, Farzan Roohparvar, M. Malek\",\"doi\":\"10.12988/pms.2021.91277\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An n×n real matrix A is hypernormal if AP A t = A tP A , for all permutation matrices P . We shall explain how to construct hypernormal matrices.\",\"PeriodicalId\":155967,\"journal\":{\"name\":\"Pure Mathematical Sciences\",\"volume\":\"40 4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pure Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/pms.2021.91277\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pure Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/pms.2021.91277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
对于所有置换矩阵P，如果AP A t = A tP A，则n×n实矩阵A是超正规的。我们将解释如何构造超正规矩阵。
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