{"title":"Double Generalized Majorization","authors":"M. Dodig, M. Stosic","doi":"10.37236/11127","DOIUrl":null,"url":null,"abstract":"\n \n \n \n \n \nIn this paper, we give a complete, explicit and constructive solution to the double generalized majorization problem. Apart from purely combinatorial interest, double generalized majorization problem has strong impact in Matrix and Matrix Pencils Completion Problems, Bounded Rank Perturbation Problems, and it has additional nice interpretation in Representation Theory of Kronecker Quivers. \n \n \n \n \n \n","PeriodicalId":11515,"journal":{"name":"Electronic Journal of Combinatorics","volume":"354 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Combinatorics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.37236/11127","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we give a complete, explicit and constructive solution to the double generalized majorization problem. Apart from purely combinatorial interest, double generalized majorization problem has strong impact in Matrix and Matrix Pencils Completion Problems, Bounded Rank Perturbation Problems, and it has additional nice interpretation in Representation Theory of Kronecker Quivers.
期刊介绍：
The Electronic Journal of Combinatorics (E-JC) is a fully-refereed electronic journal with very high standards, publishing papers of substantial content and interest in all branches of discrete mathematics, including combinatorics, graph theory, and algorithms for combinatorial problems.
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