Title :
Some Inequalities for Sum of the Matrices
Author :
Xingdong Yang ; Yuanyuan Tu ; Zhiying Ding ; Zhuwang Yang
Author_Institution :
Coll. of Math. & Phys., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Abstract :
The purpose of this paper is to present some inequalities on majorization, trace, eigenvalue and singular for sum of complex, Hermitian and positive semidefinite matrices.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; Hermitian matrix; complex matrix; eigenvalue inequality; majorization inequality; matrix sum inequalities; positive semidefinite matrix; singular inequality; trace inequality; Educational institutions; Eigenvalues and eigenfunctions; Information science; Linear algebra; Linear matrix inequalities; Physics; eigenvalues; frobenius norm; inequality; singular values;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.53
