Benner, Peter; Goyal, Pawan; Gugercin, Serkan \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. (English) Zbl 1418.93048 SIAM J. Matrix Anal. Appl. 39, No. 2, 983-1032 (2018). MSC: 93B11 93A15 93C10 49L99 35Q93 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 983--1032 (2018; Zbl 1418.93048) Full Text: DOI arXiv
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias Large-scale computation of \(\mathcal{L}_\infty\)-norms by a greedy subspace method. (English) Zbl 1379.65020 SIAM J. Matrix Anal. Appl. 38, No. 4, 1496-1516 (2017). MSC: 65F30 65F60 15A60 65D05 65E05 PDFBibTeX XMLCite \textit{N. Aliyev} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1496--1516 (2017; Zbl 1379.65020) Full Text: DOI arXiv
Benner, Peter; Gugercin, Serkan; Willcox, Karen A survey of projection-based model reduction methods for parametric dynamical systems. (English) Zbl 1339.37089 SIAM Rev. 57, No. 4, 483-531 (2015). MSC: 37M99 35B30 41A05 65K99 93A15 93C05 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM Rev. 57, No. 4, 483--531 (2015; Zbl 1339.37089) Full Text: DOI Link
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; Feng, Lihong A robust algorithm for parametric model order reduction based on implicit moment matching. (English) Zbl 1312.65109 Quarteroni, Alfio (ed.) et al., Reduced order methods for modeling and computational reduction. Cham: Springer (ISBN 978-3-319-02089-1/hbk; 978-3-319-02090-7/ebook). MS&A. Modeling, Simulation and Applications 9, 159-185 (2014). MSC: 65L05 34A30 65L60 PDFBibTeX XMLCite \textit{P. Benner} and \textit{L. Feng}, MS\&A, Model. Simul. Appl. 9, 159--185 (2014; Zbl 1312.65109) Full Text: DOI
Benner, Peter; Breiten, Tobias On optimality of approximate low rank solutions of large-scale matrix equations. (English) Zbl 1292.65040 Syst. Control Lett. 67, 55-64 (2014). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, Syst. Control Lett. 67, 55--64 (2014; Zbl 1292.65040) Full Text: DOI
Feng, Lihong; Benner, Peter; Korvink, Jan G. Subspace recycling accelerates the parametric macro-modeling of MEMS. (English) Zbl 1352.74479 Int. J. Numer. Methods Eng. 94, No. 1, 84-110 (2013). MSC: 74S30 74M25 37N15 PDFBibTeX XMLCite \textit{L. Feng} et al., Int. J. Numer. Methods Eng. 94, No. 1, 84--110 (2013; Zbl 1352.74479) Full Text: DOI
Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S.; Remón, Alfredo A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. (English) Zbl 1225.65037 Parallel Comput. 37, No. 8, 439-450 (2011). MSC: 65F10 65F30 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Parallel Comput. 37, No. 8, 439--450 (2011; Zbl 1225.65037) Full Text: DOI
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Solving stable Sylvester equations via rational iterative schemes. (English) Zbl 1098.65041 J. Sci. Comput. 28, No. 1, 51-83 (2006). MSC: 65F30 15A24 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Sci. Comput. 28, No. 1, 51--83 (2006; Zbl 1098.65041) Full Text: DOI
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Efficient numerical algorithms for balanced stochastic truncation. (English) Zbl 1008.93014 Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1123-1150 (2001). Reviewer: Adhemar Bultheel (Leuven) MSC: 93B11 93B40 93B20 93A15 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1123--1150 (2001; Zbl 1008.93014) Full Text: EuDML
Benner, Peter; Faßbender, Heike The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method. (English) Zbl 0935.65030 Linear Algebra Appl. 275-276, 19-47 (1998). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{P. Benner} and \textit{H. Faßbender}, Linear Algebra Appl. 275--276, 19--47 (1998; Zbl 0935.65030) Full Text: DOI