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**Matrix bounds for the solution of the continuous algebraic Riccati equation.**
*(English)*
Zbl 1210.15016

Summary: We propose new upper and lower matrix bounds for the solution of the continuous algebraic Riccati equation. In certain cases, these lower bounds improve and extend the previous results. Finally, we give a corresponding numerical example to illustrate the effectiveness of our results.

### MSC:

15A24 | Matrix equations and identities |

15A45 | Miscellaneous inequalities involving matrices |

65F30 | Other matrix algorithms (MSC2010) |

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\textit{J. Zhang} and \textit{J. Liu}, Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010; Zbl 1210.15016)

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