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Title: Some log-majorizations and an extension of a determinantal inequality
Author: Lemos, R.
Soares, G.
Keywords: Araki–Cordes inequality
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
DOI: 10.1016/j.laa.2018.02.015
ISSN: 0024-3795
Appears in Collections:CIDMA - Artigos
AGG - Artigos
OGTCG - Artigos

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