Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Singular value inequalities for positive semidefinite matrices

Document Type : Research Paper

Authors
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, P. R. China
Abstract
In this note‎, ‎we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique‎. ‎Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl‎. ‎308 (2000) 203-211] and [Linear Algebra Appl‎. ‎428 (2008) 2177-2191]‎.
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Subjects

  • Receive Date 17 April 2013
  • Revise Date 04 May 2013
  • Accept Date 04 May 2013