DocumentCode
1213849
Title
Eigenvalue Inequalities for Matrix Product
Author
Fuzhen Zhang ; Qingling Zhang
Author_Institution
Div. of Math, Sci. & Technol., Nova Southeastern Univ., Fort Lauderdale, FL
Volume
51
Issue
9
fYear
2006
Firstpage
1506
Lastpage
1509
Abstract
We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues
Keywords
Hermitian matrices; eigenvalues and eigenfunctions; matrix multiplication; Hermitian matrix; eigenvalue inequalities; matrix product; positive semidefinite matrix; Control theory; Eigenvalues and eigenfunctions; Linear matrix inequalities; Riccati equations; Symmetric matrices; Upper bound; Eigenvalue; inequality; singular value; trace;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2006.880787
Filename
1695991
Link To Document