Sorensen, D. C.; Embree, Mark A DEIM induced CUR factorization. (English) Zbl 1382.65121 SIAM J. Sci. Comput. 38, No. 3, A1454-A1482 (2016). MSC: 65F30 15A23 47A58 65F35 68W25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{M. Embree}, SIAM J. Sci. Comput. 38, No. 3, A1454--A1482 (2016; Zbl 1382.65121) Full Text: DOI arXiv
Chaturantabut, Saifon; Sorensen, Danny C. Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. (English) Zbl 1302.76127 Math. Comput. Model. Dyn. Syst. 17, No. 4, 337-353 (2011). MSC: 76M20 76M25 76S05 65M06 76D27 PDFBibTeX XMLCite \textit{S. Chaturantabut} and \textit{D. C. Sorensen}, Math. Comput. Model. Dyn. Syst. 17, No. 4, 337--353 (2011; Zbl 1302.76127) Full Text: DOI Link
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. (English) Zbl 1220.65074 Comput. Vis. Sci. 13, No. 6, 249-264 (2010). MSC: 65K10 49J20 49M27 49Q10 PDFBibTeX XMLCite \textit{H. Antil} et al., Comput. Vis. Sci. 13, No. 6, 249--264 (2010; Zbl 1220.65074) 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
Klouček, Petr; Sorensen, Danny C.; Wightman, Jennifer L. The approximation and computation of a basis of the trace space \(H^{1/2}\). (English) Zbl 1122.65119 J. Sci. Comput. 32, No. 1, 73-108 (2007). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 35J25 65N30 PDFBibTeX XMLCite \textit{P. Klouček} et al., J. Sci. Comput. 32, No. 1, 73--108 (2007; Zbl 1122.65119) Full Text: DOI
Wriggers, Willy; Zhang, Zhiyong; Shah, Mili; Sorensen, Danny C. Simulating nanoscale functional motions of biomolecules. (English) Zbl 1109.92006 Mol. Simul. 32, No. 10-11, 803-815 (2006). MSC: 92C05 92-08 92C40 62P10 62H25 PDFBibTeX XMLCite \textit{W. Wriggers} et al., Mol. Simul. 32, No. 10--11, 803--815 (2006; Zbl 1109.92006) Full Text: DOI Link
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, 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, A. C.; Sorensen, D. C. Lyapunov, Lanczos, and inertia. (English) Zbl 0997.65065 Linear Algebra Appl. 326, No. 1-3, 137-150 (2001). Reviewer: Raffela Pavani (Milano) MSC: 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{A. C. Antoulas} and \textit{D. C. Sorensen}, Linear Algebra Appl. 326, No. 1--3, 137--150 (2001; Zbl 0997.65065) Full Text: DOI
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
Singh, R. K.; Smith, H. A.; Sorensen, D. C. Application of \(k\)-step Lanczos method to extract the interior eigenvalues of skeletal systems. (English) Zbl 0848.73070 Int. J. Numer. Methods Eng. 39, No. 4, 705-716 (1996). MSC: 74S05 74H45 65F15 PDFBibTeX XMLCite \textit{R. K. Singh} et al., Int. J. Numer. Methods Eng. 39, No. 4, 705--716 (1996; Zbl 0848.73070) Full Text: DOI
Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. Block reduction of matrices to condensed forms for eigenvalue computations. (English) Zbl 0679.65025 J. Comput. Appl. Math. 27, No. 1-2, 215-227 (1989). Reviewer: F.Móricz MSC: 65F15 65Y05 65F30 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., J. Comput. Appl. Math. 27, No. 1--2, 215--227 (1989; Zbl 0679.65025) Full Text: DOI
Dongarra, Jack J.; Sorensen, Danny C. Linear algebra on high performance computers. (English) Zbl 0628.65016 Appl. Math. Comput. 20, 57-88 (1986). Reviewer: R.P.Tewarson MSC: 65Fxx 65-02 65F05 65F15 65F50 65Y05 PDFBibTeX XMLCite \textit{J. J. Dongarra} and \textit{D. C. Sorensen}, Appl. Math. Comput. 20, 57--88 (1986; Zbl 0628.65016) Full Text: DOI Link
Heath, M. T.; Sorensen, D. C. A pipelined Givens method for computing the QR factorization of a sparse matrix. (English) Zbl 0587.65018 Linear Algebra Appl. 77, 189-203 (1986). MSC: 65F05 65F50 PDFBibTeX XMLCite \textit{M. T. Heath} and \textit{D. C. Sorensen}, Linear Algebra Appl. 77, 189--203 (1986; Zbl 0587.65018) Full Text: DOI