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MR1094953 (92d:47095) 47N70 (47D06 65J10 65L99 93C25)
Lasiecka, I.; Triggiani, R. Numerical approximations of algebraic Riccati equations for abstract systems modelled by analytic semigroups, and applications. Math. Comp. 57 (1991), no. 196, 639–662, S13–S37.
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