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http://hdl.handle.net/10773/22956
Title: | Some log-majorizations and an extension of a determinantal inequality |
Author: | Lemos, R. Soares, G. |
Keywords: | Araki–Cordes inequality Eigenvalues Furuta inequality Log majorization Löwner–Heinz inequality Matrix connections and means Singular values Trace and determinantal inequalities |
Issue Date: | 2018 |
Publisher: | Elsevier |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/22956 |
DOI: | 10.1016/j.laa.2018.02.015 |
ISSN: | 0024-3795 |
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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