Title :
Eigenvalue Inequalities for Matrix Product
Author :
Fuzhen Zhang ; Qingling Zhang
Author_Institution :
Div. of Math, Sci. & Technol., Nova Southeastern Univ., Fort Lauderdale, FL
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.880787
