Chaturantabut, Saifon; Sorensen, Danny C. A state space error estimate for POD-DEIM nonlinear model reduction. (English) Zbl 1237.93035 SIAM J. Numer. Anal. 50, No. 1, 46-63 (2012). MSC: 93B11 93C10 93C20 PDFBibTeX XMLCite \textit{S. Chaturantabut} and \textit{D. C. Sorensen}, SIAM J. Numer. Anal. 50, No. 1, 46--63 (2012; Zbl 1237.93035) Full Text: DOI Link
Zhou, Y.; Sorensen, D. C. Approximate implicit subspace iteration with alternating directions for LTI system model reduction. (English) Zbl 1212.65258 Numer. Linear Algebra Appl. 15, No. 9, 873-886 (2008). MSC: 65K10 65F30 15A24 93B40 65F10 93B11 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{D. C. Sorensen}, Numer. Linear Algebra Appl. 15, No. 9, 873--886 (2008; Zbl 1212.65258) Full Text: DOI
Sorensen, D. C. Passivity preserving model reduction via interpolation of spectral zeros. (English) Zbl 1129.93340 Syst. Control Lett. 54, No. 4, 347-360 (2005). MSC: 93B11 93B60 PDFBibTeX XMLCite \textit{D. C. Sorensen}, Syst. Control Lett. 54, No. 4, 347--360 (2005; Zbl 1129.93340) Full Text: DOI Link
Sorensen, Danny C.; Antoulas, Athanasios C. On model reduction of structured systems. (English) Zbl 1103.93018 Benner, Peter (ed.) et al., Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Berlin: Springer (ISBN 3-540-24545-6/pbk). Lecture Notes in Computational Science and Engineering 45, 117-130 (2005). Reviewer: Mihail Megan (Timişoara) MSC: 93B11 93C05 93B05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Lect. Notes Comput. Sci. Eng. 45, 117--130 (2005; Zbl 1103.93018)
Benner, Peter (ed.); Mehrmann, Volker (ed.); Sorensen, Danny C. (ed.) Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. (English) Zbl 1066.65004 Lecture Notes in Computational Science and Engineering 45. Berlin: Springer (ISBN 3-540-24545-6/pbk). xi, 395 p. (2005). MSC: 65-06 93-06 76-06 00B25 PDFBibTeX XMLCite \textit{P. Benner} (ed.) et al., Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003. Berlin: Springer (2005; Zbl 1066.65004) 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 PDFBibTeX XMLCite \textit{S. Gugercin} et al., Numer. Algorithms 32, No. 1, 27--55 (2003; Zbl 1034.93020) Full Text: DOI
Sorensen, D. C.; Antoulas, A. C. The Sylvester equation and approximate balanced reduction. (English) Zbl 1023.93012 Linear Algebra Appl. 351-352, 671-700 (2002). Reviewer: L.Rodman (Williamsburg) MSC: 93B11 15A24 93B20 41A05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y. On the decay rate of Hankel singular values and related issues. (English) Zbl 1003.93024 Syst. Control Lett. 46, No. 5, 323-342 (2002). MSC: 93B60 93B11 15A18 15A24 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., Syst. Control Lett. 46, No. 5, 323--342 (2002; Zbl 1003.93024) Full Text: DOI
Antoulas, Athanasios C.; Sorensen, Dan C. Approximation of large-scale dynamical systems: An overview. (English) Zbl 1024.93008 Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1093-1121 (2001). MSC: 93B11 93A15 93B40 93-02 PDFBibTeX XMLCite \textit{A. C. Antoulas} and \textit{D. C. Sorensen}, Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1093--1121 (2001; Zbl 1024.93008) Full Text: EuDML
Antoulas, A. C.; Sorensen, D. C.; Gugercin, S. A survey of model reduction methods for large-scale systems. (English) Zbl 1048.93014 Olshevsky, Vadim (ed.), Structured matrices in mathematics, computer science, and engineering I. Proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27–July 1, 1999. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-1921-6/pbk). Contemp. Math. 280, 193-219 (2001). Reviewer: George Fragulis (MR 2002f:93019) MSC: 93B11 93B15 93B40 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., Contemp. Math. 280, 193--219 (2001; Zbl 1048.93014)
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P. Model reduction of state space systems via an implicitly restarted Lanczos method. (English) Zbl 0870.65052 Numer. Algorithms 12, No. 1-2, 1-31 (1996). Reviewer: G.Jumarie (Montréal) MSC: 65K10 93A99 93C15 65F15 PDFBibTeX XMLCite \textit{E. J. Grimme} et al., Numer. Algorithms 12, No. 1--2, 1--31 (1996; Zbl 0870.65052) Full Text: DOI
Gallivan, K.; Grimme, E.; Sorensen, D.; Van Dooren, P. On some modifications of the Lanczos algorithm and the relation with Padé approximations. (English) Zbl 1075.93506 Kirchgässner, Klaus (ed.) et al., ICIAM 95: Proceedings of the third international congress on industrial and applied mathematics, held in Hamburg, Germany, July 3-7, 1995. Berlin: Akademie Verlag (ISBN 3-05-501682-3/hbk). Math. Res. 87, 87-116 (1996). MSC: 93B30 65F10 PDFBibTeX XMLCite \textit{K. Gallivan} et al., in: ICIAM 95: Proceedings of the third international congress on industrial and applied mathematics, held in Hamburg, Germany, July 3-7, 1995. Berlin: Akademie Verlag. 87--116 (1996; Zbl 1075.93506)
Sorensen, D. C. (ed.); Wets, R. J.-B. (ed.) Algorithms and theory in filtering and control. Proceedings of the Workshop on Numerical Techniques for Systems Engineering Problems, Part 1. (Held in Lexington, Kentucky, June 1980). (English) Zbl 0476.00032 Mathematical Programming Study, 18. A Publication of the Mathematical Programming Society. Amsterdam: North-Holland Publishing Company. X, 159 p. (1982). MSC: 00Bxx 93-06 PDFBibTeX XML