Bhatia, Rajendra ; Kittaneh, Fuad (2000) Notes on matrix arithmetic-geometric mean inequalities Linear Algebra and its Applications, 308 (1-3). pp. 203-211. ISSN 0024-3795
Full text not available from this repository.
Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...
Related URL: http://dx.doi.org/10.1016/S0024-3795(00)00048-3
Abstract
For positive semi-definite n×n matrices, the inequality 4|||AB|||≤|||(A+B)2||| is shown to hold for every unitarily invariant norm. The connection of this with some other matrix arithmetic-geometric mean inequalities and trace inequalities is discussed.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Arithmetic-geometric Mean; Singular Values; Unitarily Invariant Norms; Majorisation |
| ID Code: | 2602 |
| Deposited On: | 08 Oct 2010 07:19 |
| Last Modified: | 08 Oct 2010 07:19 |
Repository Staff Only: item control page
