On Some Matrix Trace Inequalities

We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 block matrices.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2010-01, Vol.2010 (1), p.201486-201486
Hauptverfasser:	Ulukök, Zübeyde, Türkmen, Ramazan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 block matrices.
ISSN:	1025-5834 1029-242X 1029-242X
DOI:	10.1186/1029-242X-2010-201486