Title :
A trace inequality for matrix product
Author :
Lasserre, Jean B.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
fDate :
8/1/1995 12:00:00 AM
Abstract :
We extend to arbitrary Hermitian matrices, a well-known trace inequality for positive semidefinite matrices. When using this result for the product of two matrices when only one is Hermitian, we improve a recent trace inequality given by Fanf et al. (1994)
Keywords :
Hermitian matrices; eigenvalues and eigenfunctions; Hermitian matrices; eigenvalues; matrix product; positive semidefinite matrices; trace inequality; Eigenvalues and eigenfunctions; Linear matrix inequalities; Riccati equations; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
