Notes on matrix arithmetic-geometric mean inequalities

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

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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

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