Bertram, Christian; Faßbender, Heike On a family of low-rank algorithms for large-scale algebraic Riccati equations. (English) Zbl 07810690 Linear Algebra Appl. 687, 38-67 (2024). MSC: 65F45 PDFBibTeX XMLCite \textit{C. Bertram} and \textit{H. Faßbender}, Linear Algebra Appl. 687, 38--67 (2024; Zbl 07810690) Full Text: DOI arXiv
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. (English) Zbl 1385.65035 Numer. Math. 138, No. 2, 301-330 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Math. 138, No. 2, 301--330 (2018; Zbl 1385.65035) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Massoudi} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 624--648 (2016; Zbl 1339.15010) Full Text: DOI Link
Benner, Peter; Saak, Jens Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. (English) Zbl 1279.65044 GAMM-Mitt. 36, No. 1, 32-52 (2013). MSC: 65F30 15A24 65F10 65-02 PDFBibTeX XMLCite \textit{P. Benner} and \textit{J. Saak}, GAMM-Mitt. 36, No. 1, 32--52 (2013; Zbl 1279.65044) Full Text: DOI
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice Numerical solution of algebraic Riccati equations. (English) Zbl 1244.65058 Fundamentals of Algorithms 9. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-08-5/pbk; 978-1-611972-09-2/ebook). xvi, 250 p. (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65-02 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numerical solution of algebraic Riccati equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2012; Zbl 1244.65058) Full Text: DOI Link
Benner, Peter; Faßbender, Heike On the numerical solution of large-scale sparse discrete-time Riccati equations. (English) Zbl 1230.65070 Adv. Comput. Math. 35, No. 2-4, 119-147 (2011). MSC: 65K10 49J20 49M15 49N10 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} and \textit{H. Faßbender}, Adv. Comput. Math. 35, No. 2--4, 119--147 (2011; Zbl 1230.65070) Full Text: DOI
Jbilou, K. ADI preconditioned Krylov methods for large Lyapunov matrix equations. (English) Zbl 1189.65078 Linear Algebra Appl. 432, No. 10, 2473-2485 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{K. Jbilou}, Linear Algebra Appl. 432, No. 10, 2473--2485 (2010; Zbl 1189.65078) Full Text: DOI