Direct sums of positive semi-definite matrices
| Affiliation auteurs | Affiliation ok |
| Titre | Direct sums of positive semi-definite matrices |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Bourin J-C, Lee B-Y |
| Journal | LINEAR ALGEBRA AND ITS APPLICATIONS |
| Volume | 463 |
| Pagination | 273-281 |
| Date Published | DEC 15 |
| Type of Article | Article |
| ISSN | 0024-3795 |
| Mots-clés | Convex/concave functions, Eigenvalue inequalities, Majorization, Partitioned matrices, Positive definite matrices |
| Résumé | We show a remarkable link between the direct sum and the usual sum of m positive semi-definite matrices. The direct sum is a kind of average of m copies of the usual sum. This averaging is applied to obtain several inequalities related to the Rotfel'd majorizations for convex/concave functions. (C) 2014 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.laa.2014.09.012 |