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http://hdl.handle.net/10773/22956
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lemos, R. | pt |
dc.contributor.author | Soares, G. | pt |
dc.date.accessioned | 2018-04-23T15:29:44Z | - |
dc.date.available | 2018-04-23T15:29:44Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 0024-3795 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/22956 | - |
dc.description.abstract | An eigenvalue inequality involving a matrix connection and its dual is established, and some log-majorization type results are obtained. In particular, some eigenvalues inequalities considered by F. Hiai and M. Lin [9], an associated conjecture, and a singular values inequality by L. Zou [20] are revisited. A reformulation of the inequality det(A+U^⁎B)≤det(A+B), for positive semidefinite matrices A,B, with U a unitary matrix that appears in the polar decomposition of B A, is also extended, using some known norm inequalities, associated to Furuta inequality and Araki–Cordes inequality. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt |
dc.rights | openAccess | por |
dc.subject | Araki–Cordes inequality | pt |
dc.subject | Eigenvalues | pt |
dc.subject | Furuta inequality | pt |
dc.subject | Log majorization | pt |
dc.subject | Löwner–Heinz inequality | pt |
dc.subject | Matrix connections and means | pt |
dc.subject | Singular values | pt |
dc.subject | Trace and determinantal inequalities | pt |
dc.title | Some log-majorizations and an extension of a determinantal inequality | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
ua.event.title | Linear Algebra and Its Applications | - |
degois.publication.firstPage | 19 | pt |
degois.publication.lastPage | 31 | pt |
degois.publication.title | Linear Algebra and its Applications | pt |
degois.publication.volume | 547 | pt |
dc.identifier.doi | 10.1016/j.laa.2018.02.015 | pt |
Appears in Collections: | CIDMA - Artigos AGG - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Some log-majorizations and an extension of a determinantal inequality.pdf | 271.04 kB | Adobe PDF | View/Open |
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