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On a question of Bhatia and Kittaneh

Authors :
S.W. Drury
Source :
Linear Algebra and its Applications. 437(7):1955-1960
Publication Year :
2012
Publisher :
Elsevier BV, 2012.

Abstract

We settle in the affirmative a question of Bhatia and Kittaneh. For P and Q positive semidefinite n × n matrices, the inequality σ r ( PQ ) ⩽ 1 2 λ r ( P + Q ) holds for r = 1 , 2 , … , n .

Details

ISSN :
00243795
Volume :
437
Issue :
7
Database :
OpenAIRE
Journal :
Linear Algebra and its Applications
Accession number :
edsair.doi.dedup.....dce0d8b25c3d620985fce57ae0aa4d93
Full Text :
https://doi.org/10.1016/j.laa.2012.04.040