Please use this identifier to cite or link to this item:
|Title:||Some log-majorizations and an extension of a determinantal inequality|
Matrix connections and means
Trace and determinantal inequalities
|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 , an associated conjecture, and a singular values inequality by L. Zou  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.|
|Appears in Collections:||AGG - Artigos|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.