{"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":"54 1","pages":""},"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}
引用次数: 0
Abstract
In this paper, we obtain some inequalities involving positive semidefinite block matrices and their blocks.
期刊介绍：
Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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