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Bounds on eigenvalues of matrix products with an application to the algebraic Riccati equation

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1 Author(s)
Komaroff, N. ; Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

Lower and upper summation bounds for the eigenvalues of the product XY are presented, under various restrictions on matrices X, YRn×n. An application to the algebraic Riccati equation yields a trace lower bound. It is observed that these bounds are tighter than those in the literature

Published in:

Automatic Control, IEEE Transactions on  (Volume:35 ,  Issue: 3 )