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{"title":"正半有限矩阵及其块之间的奇异值和矩阵规范不等式","authors":"Feng Zhang, Rong Ma, Chunwen Zhang, Yuxin Cao","doi":"10.1155/2024/6652793","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain some inequalities involving positive semidefinite <span><svg height=\"8.69875pt\" style=\"vertical-align:-0.3499298pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.34882 16.776 8.69875\" width=\"16.776pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,9.145,0)\"></path></g></svg><span></span><svg height=\"8.69875pt\" style=\"vertical-align:-0.3499298pt\" version=\"1.1\" viewbox=\"19.6321838 -8.34882 6.415 8.69875\" width=\"6.415pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,19.682,0)\"><use xlink:href=\"#g113-51\"></use></g></svg></span> block matrices and their blocks.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks\",\"authors\":\"Feng Zhang, Rong Ma, Chunwen Zhang, Yuxin Cao\",\"doi\":\"10.1155/2024/6652793\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we obtain some inequalities involving positive semidefinite <span><svg height=\\\"8.69875pt\\\" style=\\\"vertical-align:-0.3499298pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.34882 16.776 8.69875\\\" width=\\\"16.776pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,9.145,0)\\\"></path></g></svg><span></span><svg height=\\\"8.69875pt\\\" style=\\\"vertical-align:-0.3499298pt\\\" version=\\\"1.1\\\" viewbox=\\\"19.6321838 -8.34882 6.415 8.69875\\\" width=\\\"6.415pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,19.682,0)\\\"><use xlink:href=\\\"#g113-51\\\"></use></g></svg></span> block matrices and their blocks.\",\"PeriodicalId\":54214,\"journal\":{\"name\":\"Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-01-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1155/2024/6652793\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1155/2024/6652793","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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