Matrix inequalities applicable to estimating solution sizes of Riccati and Lyapunov equations
N. Komaroff · IEEE Transactions on Automatic Control · 1989
Simultaneous summation upper bounds for the eigenvalues of the matrix product XY are presented, where X, Y epsilon R/sup nxn/, with Y symmetric and X arbitrary. These bounds are a generalization of tr (XY) bounds; the requirements on Y are relaxed, and the bound for tr (XY) is stronger than those shown in the literature.>