A new upper bound for the eigenvalues of the continuous algebraic Riccati equation
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 314-321.

Voir la notice de l'article dans 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
Mots-clés : eigenvalue, majorization inequality, trace inequality, algebraic Riccati equation 
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     author = {Liu, Jianzhou and Zhang, Juan and Liu, Yu},
     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. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 314-321. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a31/