Conjectures about determining the regions of eigenvalues of stochastic and doubly stochastic matrices
DC Field | Value | Language |
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dc.contributor.author | Kim, Bara | - |
dc.contributor.author | Kim, Jeongsim | - |
dc.date.accessioned | 2022-11-19T15:41:12Z | - |
dc.date.available | 2022-11-19T15:41:12Z | - |
dc.date.created | 2022-11-17 | - |
dc.date.issued | 2022-03-15 | - |
dc.identifier.issn | 0024-3795 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/145954 | - |
dc.description.abstract | Let the regions circle minus(n) and omega(n) be the subsets of the complex planes that consist of all eigenvalues of all n x n stochastic and doubly stochastic matrices, respectively. Also, let Pi(n) denote the convex hull of the nth roots of unity. Levick, Pereira and Kribs (2015) [10] made the following conjectures on the relations between circle minus(n), omega(n) and Pi(n): omega(n) = circle minus(n-1) boolean OR Pi(n) and circle minus(n-1) subset of omega(n). These two conjectures are known to be true for n = 2, 3, 4. In this paper, we will show that these two conjectures are not true for n >= 5. (c) 2021 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.title | Conjectures about determining the regions of eigenvalues of stochastic and doubly stochastic matrices | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Bara | - |
dc.identifier.doi | 10.1016/j.laa.2021.12.011 | - |
dc.identifier.scopusid | 2-s2.0-85121438620 | - |
dc.identifier.wosid | 000777802200009 | - |
dc.identifier.bibliographicCitation | LINEAR ALGEBRA AND ITS APPLICATIONS, v.637, pp.157 - 174 | - |
dc.relation.isPartOf | LINEAR ALGEBRA AND ITS APPLICATIONS | - |
dc.citation.title | LINEAR ALGEBRA AND ITS APPLICATIONS | - |
dc.citation.volume | 637 | - |
dc.citation.startPage | 157 | - |
dc.citation.endPage | 174 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Stochastic matrices | - |
dc.subject.keywordAuthor | Doubly stochastic matrices | - |
dc.subject.keywordAuthor | Eigenvalues | - |
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