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On bounds of the Riccati and Lyapunov matrix equations. (English) Zbl 0576.15009

For discrete and continuous Lyapunov and Riccati equations, that have positive definite solutions, bounds for the traces of the solutions in terms of eigenvalues of the coefficient matrices are given.
Reviewer: V.Mehrmann

MSC:

15A24 Matrix equations and identities
15B57 Hermitian, skew-Hermitian, and related matrices
15A15 Determinants, permanents, traces, other special matrix functions
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