| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599369 | Linear Algebra and its Applications | 2014 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jean-Christophe Bourin, Eun-Young Lee,