{"title":"Singular value inequalities for submultiplicative and subadditive functions of matrices","authors":"Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh","doi":"10.1007/s11117-024-01064-1","DOIUrl":null,"url":null,"abstract":"<p>We prove new singular value inequalities involving submultiplicative and subadditive functions of matrices. Singular value inequalities for sums and direct sums of matrices are also given.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Positivity","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11117-024-01064-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove new singular value inequalities involving submultiplicative and subadditive functions of matrices. Singular value inequalities for sums and direct sums of matrices are also given.
期刊介绍:
The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome.
The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.