ON STEIN TRANSFORMATION IN SEMIDEFINITE LINEAR COMPLEMENTARITY PROBLEMS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 송윤정 | - |
dc.contributor.author | Seon Ho Shin | - |
dc.date.available | 2018-05-09T11:24:04Z | - |
dc.date.created | 2018-04-17 | - |
dc.date.issued | 2014-01 | - |
dc.identifier.issn | 1598-5857 | - |
dc.identifier.uri | http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/10311 | - |
dc.description.abstract | In the setting of semidenite linear complementarity problems on Sn, we focus on the Stein Transformation SA(X) := X −AXAT , and show that SA is (strictly) monotone if and only if r(UAUT ◦UAUT ) (< ) ≤ 1 for all orthogonal matrices U where ◦is the Hadamard product and r is the real numerical radius. In particular, we show that if (A) < 1 and r(UAUT ◦UAUT ) ≤ 1, then SDLCP(SAQ) has a unique solution for all Q ∈ Sn. In an attempt to characterize the GUS-property of a nonmonotone SA, we give an instance of a nonnormal 2 × 2 matrix A such that SDLCP(SAQ) has a unique solution for Q either a diagonal or a symmetric positive or negative semidenite matrix. We show that this particular SA has the P′ 2-property. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | 한국전산응용수학회 | - |
dc.relation.isPartOf | Journal of Applied Mathematics and Informatics | - |
dc.subject | Stein Transformation | - |
dc.subject | Semidenite Linear Com- plementarity Problems (SDLCP) | - |
dc.subject | GUS-property | - |
dc.subject | P′ 2-property | - |
dc.title | ON STEIN TRANSFORMATION IN SEMIDEFINITE LINEAR COMPLEMENTARITY PROBLEMS | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of Applied Mathematics and Informatics, v.32, no.1, pp.285 - 295 | - |
dc.identifier.kciid | ART001845959 | - |
dc.description.journalClass | 2 | - |
dc.citation.endPage | 295 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 285 | - |
dc.citation.title | Journal of Applied Mathematics and Informatics | - |
dc.citation.volume | 32 | - |
dc.contributor.affiliatedAuthor | 송윤정 | - |
dc.identifier.url | https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART001845959 | - |
dc.description.isOpenAccess | N | - |
dc.subject.keywordAuthor | Stein Transformation | - |
dc.subject.keywordAuthor | Semidenite Linear Com- plementarity Problems (SDLCP) | - |
dc.subject.keywordAuthor | GUS-property | - |
dc.subject.keywordAuthor | P′ 2-property | - |
dc.description.journalRegisteredClass | kci | - |
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