The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

You searched for jungers
Total of 5 results found in site

5: Paper Source PDF document

Paper's Title:

A Generalization of a Trace Inequality for Positive Definite Matrices

Author(s):

E. V. Belmega, M. Jungers, and S. Lasaulce

Université Paris-Sud Xi, SUPELEC,
Laboratoire Des Signaux Et Systèmes,
Gif-Sur-Yvette,
France.

belmega@lss.supelec.fr
http://veronica.belmega.lss.supelec.fr

CNRS, ENSEM, CRAN, Vandoeuvre,
France.

marc.jungers@cran.uhp-nancy.fr
http://perso.ensem.inpl-nancy.fr/Marc.Jungers/

CNRS, SUPELEC, Laboratoire des Signaux et Systèmes,
Gif-Sur-Yvette,
France.

lasaulce@lss.supelec.fr
http://samson.lasaulce.lss.supelec.fr

Abstract:

In this note, we provide a generalization of the trace inequality derived in [Belmega].

More precisely, we prove that for arbitrary K ≥ 1 where Tr(∙) denotes the matrix trace operator, A1, B1 are any positive definite matrices and Ak, Bk for all k∈{2,...,k}, are any positive semidefinite matrices.


Search and serve lasted 0 second(s).


© 2004-2021 Austral Internet Publishing