Benner, Peter; Stykel, Tatjana Model order reduction for differential-algebraic equations: a survey. (English) Zbl 1402.93069 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations IV. Cham: Springer (ISBN 978-3-319-46617-0/pbk; 978-3-319-46618-7/ebook). Differential-Algebraic Equations Forum, 107-160 (2017). MSC: 93B11 93C15 93B25 93-02 65F30 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Stykel}, in: Surveys in differential-algebraic equations IV. Cham: Springer. 107--160 (2017; Zbl 1402.93069) Full Text: DOI
Benner, Peter; Damm, Tobias; Redmann, Martin; Rodriguez Cruz, Yolanda Rocio Positive operators and stable truncation. (English) Zbl 1335.15016 Linear Algebra Appl. 498, 74-87 (2016). MSC: 15A24 15B48 93D05 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 498, 74--87 (2016; Zbl 1335.15016) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens Frequency-limited balanced truncation with low-rank approximations. (English) Zbl 1391.65123 SIAM J. Sci. Comput. 38, No. 1, A471-A499 (2016). MSC: 65F60 15A16 15A18 15A24 93B11 93A15 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 38, No. 1, A471--A499 (2016; Zbl 1391.65123) Full Text: DOI
Benner, Peter; Saak, Jens; Monir Uddin, M. Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control. (English) Zbl 1330.93084 Numer. Algebra Control Optim. 6, No. 1, 1-20 (2016). MSC: 93B40 93B11 93B18 65F30 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algebra Control Optim. 6, No. 1, 1--20 (2016; Zbl 1330.93084) Full Text: DOI
Benner, Peter; Breiten, Tobias; Feng, Lihong Matrix equations and model reduction. (English) Zbl 1332.65083 Bai, Zhaojun (ed.) et al., Matrix functions and matrix equations. Lectures of the 4th Gene Golub summer school, Shanghai, China, July 22 – August 2, 2013. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4675-76-5/hbk; 978-981-4675-78-9/ebook). Series in Contemporary Applied Mathematics CAM 19, 50-75 (2015). MSC: 65K10 93C05 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., Ser. Contemp. Appl. Math. CAM 19, 50--75 (2015; Zbl 1332.65083) Full Text: DOI Link
Benner, Peter Numerical linear algebra for model reduction in control and simulation. (English) Zbl 1157.93337 GAMM-Mitt. 29, No. 2, 275-296 (2006). MSC: 93B11 65F30 41A20 65F15 93-02 15A18 PDFBibTeX XMLCite \textit{P. Benner}, GAMM-Mitt. 29, No. 2, 275--296 (2006; Zbl 1157.93337) Full Text: DOI