Massoudi, Arash; Opmeer, Mark R.; Reis, Timo The ADI method for bounded real and positive real Lur’e equations. (English) Zbl 1361.65026 Numer. Math. 135, No. 2, 431-458 (2017). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F30 15A24 93B52 65K10 65F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Massoudi, Arash; Opmeer, Mark R.; Reis, Timo Analysis of an iteration method for the algebraic Riccati equation. (English) Zbl 1339.15010 SIAM J. Matrix Anal. Appl. 37, No. 2, 624-648 (2016). MSC: 15A24 49N10 47J20 65F30 49M30 93B52 65K10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Poloni, Federico; Reis, Timo A deflation approach for large-scale Lur’e equations. (English) Zbl 1263.15015 SIAM J. Matrix Anal. Appl. 33, No. 4, 1339-1368 (2012). MSC: 15A24 15A22 15A18 49N10 93A15 93B60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. (English) Zbl 1244.65060 SIAM J. Numer. Anal. 49, No. 5, 1875-1898 (2011). Reviewer: Frank Uhlig (Auburn) MSC: 65F30 65F10 15A24 93B40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Damm, T. Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. (English) Zbl 1212.65175 Numer. Linear Algebra Appl. 15, No. 9, 853-871 (2008). MSC: 65F30 15A24 93E25 65F10 65F08 65F05 × Cite Format Result Cite Review PDF Full Text: DOI
Truhar, Ninoslav; Veselić, KreŠimir Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix. (English) Zbl 1117.93066 Syst. Control Lett. 56, No. 7-8, 493-503 (2007). MSC: 93D30 93B60 15A24 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C. A modified low-rank Smith method for large-scale Lyapunov equations. (English) Zbl 1034.93020 Numer. Algorithms 32, No. 1, 27-55 (2003). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93B40 93A15 15A24 93B11 × Cite Format Result Cite Review PDF Full Text: DOI