Title of article :
Some inequalities for sum and product of positive semidefinite matrices Original Research Article
Author/Authors :
Bo-Ying Wang، نويسنده , , Bo-Yan Xi، نويسنده , , Fuzhen Zhang، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Abstract :
The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm, trace, and eigenvalue for sum and product of positive semidefinite (Hermitian) matrices. Some open questions proposed by Marshall and Olkin are resolved.
Keywords :
Singular value , eigenvalue , trace , unitarily invariant norm , Inequality , majorization , Moore±Penrose inverse , Positive semidefinite matrix
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications