Geodesic
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation
The electronic journal of linear algebra, Tome 20 (2010), pp. 314-321.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: By using majorization inequalities, we propose a new upper bound for summations of eigenvalues (including the trace) of the solution of the continuous algebraic Riccati equation. The bound extends some of the previous results under certain conditions. Finally, we give a numerical example to illustrate the effectiveness of our results.
Classification : 15A24
Keywords: eigenvalue, majorization inequality, trace inequality, algebraic Riccati equation 
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     title = {A new upper bound for the eigenvalues of the continuous algebraic {Riccati} equation},
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Liu, Jianzhou; Zhang, Juan; Liu, Yu. A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. The electronic journal of linear algebra, Tome 20 (2010), pp. 314-321. http://geodesic.mathdoc.fr/item/ELA_2010__20__a31/