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
Benner, Peter (ed.); Ohlberger, Mario (ed.); Patera, Anthony T. (ed.); Rozza, Gianluigi (ed.); Sorensen, Danny C. (ed.); Urban, Karsten (ed.) Model order reduction of parameterized systems (MoRePaS). Preface to the special issue of advances in computational mathematics. (English) Zbl 1328.00128 Adv. Comput. Math. 41, No. 5, 955-960 (2015). MSC: 00B25 PDFBibTeX XMLCite \textit{P. Benner} (ed.) et al., Adv. Comput. Math. 41, No. 5, 955--960 (2015; Zbl 1328.00128) Full Text: DOI
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C. Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. (English) Zbl 1312.65180 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, 101-136 (2014). MSC: 65N30 35J61 PDFBibTeX XMLCite \textit{H. Antil} et al., MS\&A, Model. Simul. Appl. 9, 101--136 (2014; Zbl 1312.65180) Full Text: DOI
Wirtz, D.; Sorensen, D. C.; Haasdonk, B. A posteriori error estimation for DEIM reduced nonlinear dynamical systems. (English) Zbl 1312.65127 SIAM J. Sci. Comput. 36, No. 2, 311-338 (2014). Reviewer: Qasem Al-Mdallal (Al-Ain) MSC: 65L70 65L05 34A34 65M15 35K57 PDFBibTeX XMLCite \textit{D. Wirtz} et al., SIAM J. Sci. Comput. 36, No. 2, 311--338 (2014; Zbl 1312.65127) Full Text: DOI Link
Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. (English) Zbl 1272.65089 ESAIM, Control Optim. Calc. Var. 19, No. 3, 780-810 (2013). MSC: 65N30 35J96 65N12 PDFBibTeX XMLCite \textit{A. Caboussat} et al., ESAIM, Control Optim. Calc. Var. 19, No. 3, 780--810 (2013; Zbl 1272.65089) Full Text: DOI
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
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
Lampe, J.; Rojas, M.; Sorensen, D. C.; Voss, H. Accelerating the LSTRS algorithm. (English) Zbl 1368.65096 SIAM J. Sci. Comput. 33, No. 1, 175-194 (2011). MSC: 65K10 65F15 90C20 PDFBibTeX XMLCite \textit{J. Lampe} et al., SIAM J. Sci. Comput. 33, No. 1, 175--194 (2011; Zbl 1368.65096) Full Text: DOI Link
Chaturantabut, Saifon; Sorensen, Danny C. Nonlinear model reduction via discrete empirical interpolation. (English) Zbl 1217.65169 SIAM J. Sci. Comput. 32, No. 5, 2737-2764 (2010). MSC: 65M06 35K55 65L05 65Y20 PDFBibTeX XMLCite \textit{S. Chaturantabut} and \textit{D. C. Sorensen}, SIAM J. Sci. Comput. 32, No. 5, 2737--2764 (2010; Zbl 1217.65169) Full Text: DOI Link
Calderon, Christopher P.; Martinez, Josue G.; Carroll, Raymond J.; Sorensen, Danny C. Erratum: P-splines using derivative information. (English) Zbl 1210.62117 Multiscale Model. Simul. 8, No. 5, 2097-2097 (2010). MSC: 62M10 62P35 60H10 PDFBibTeX XMLCite \textit{C. P. Calderon} et al., Multiscale Model. Simul. 8, No. 5, 2097--2097 (2010; Zbl 1210.62117) Full Text: DOI
Calderon, Christopher P.; Martinez, Josue G.; Carroll, Raymond J.; Sorensen, Danny C. P-splines using derivative information. (English) Zbl 1204.62154 Multiscale Model. Simul. 8, No. 4, 1562-1580 (2010). MSC: 62M10 62P35 60H10 62M99 82C31 92C05 PDFBibTeX XMLCite \textit{C. P. Calderon} et al., Multiscale Model. Simul. 8, No. 4, 1562--1580 (2010; Zbl 1204.62154) 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
Shah, Mili I.; Sorensen, Danny C. Best nonspherical symmetric low rank approximation. (English) Zbl 1201.65065 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1019-1039 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F20 92D20 PDFBibTeX XMLCite \textit{M. I. Shah} and \textit{D. C. Sorensen}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1019--1039 (2010; Zbl 1201.65065) Full Text: DOI
Sorensen, Danny C.; Glowinski, Roland A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. (English) Zbl 1187.65073 Numer. Algorithms 53, No. 1, 53-66 (2010). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 35J96 65N25 35P15 49J20 49M25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{R. Glowinski}, Numer. Algorithms 53, No. 1, 53--66 (2010; Zbl 1187.65073) Full Text: DOI
Castillo, Zenaida; Xie, Xueying; Sorensen, Danny C.; Embree, Mark; Pasquali, Matteo Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning. (English) Zbl 1274.76095 J. Non-Newton. Fluid Mech. 157, No. 1-2, 44-54 (2009). MSC: 76A10 76M10 65Y05 PDFBibTeX XMLCite \textit{Z. Castillo} et al., J. Non-Newton. Fluid Mech. 157, No. 1--2, 44--54 (2009; Zbl 1274.76095) Full Text: DOI Link 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
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. (English) Zbl 1216.76015 SIAM J. Sci. Comput. 30, No. 2, 1038-1063 (2008). MSC: 76D05 37N10 76D55 15A24 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., SIAM J. Sci. Comput. 30, No. 2, 1038--1063 (2008; Zbl 1216.76015) Full Text: DOI Link
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. Domain decomposition and model reduction of systems with local nonlinearities. (English) Zbl 1157.65445 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 389-396 (2008). MSC: 65M55 35K55 65M15 65M60 PDFBibTeX XMLCite \textit{K. Sun} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 389--396 (2008; Zbl 1157.65445) Full Text: DOI
Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C. Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization. (English) Zbl 1291.65177 ACM Trans. Math. Softw. 34, No. 2, Art. 11, 28 p. (2008). MSC: 65K05 65F22 90C20 65F15 PDFBibTeX XMLCite \textit{M. Rojas} et al., ACM Trans. Math. Softw. 34, No. 2, Art. 11, 28 p. (2008; Zbl 1291.65177) Full Text: DOI
Glowinski, Roland; Sorensen, Danny C. Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. (English) Zbl 1152.65477 Glowinski, Roland (ed.) et al., Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Dordrecht: Springer (ISBN 978-1-4020-8757-8/hbk). Computational Methods in Applied Sciences (Springer) 16, 225-232 (2008). MSC: 65N25 65N06 35P15 PDFBibTeX XMLCite \textit{R. Glowinski} and \textit{D. C. Sorensen}, in: Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Dordrecht: Springer. 225--232 (2008; Zbl 1152.65477)
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
Shah, Mili I.; Sorensen, Danny C. A symmetry preserving singular value decomposition. (English) Zbl 1124.65042 SIAM J. Matrix Anal. Appl. 28, No. 3, 749-769 (2006). Reviewer: Reinhold Kainhofer (Wien) MSC: 65F20 15A18 62H25 92D20 PDFBibTeX XMLCite \textit{M. I. Shah} and \textit{D. C. Sorensen}, SIAM J. Matrix Anal. Appl. 28, No. 3, 749--769 (2006; Zbl 1124.65042) Full Text: DOI Link
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, 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)
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C. Convergence of polynomial restart Krylov methods for eigenvalue computations. (English) Zbl 1073.65028 SIAM Rev. 47, No. 3, 492-515 (2005). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F15 15A18 15A60 30E10 47A15 PDFBibTeX XMLCite \textit{C. A. Beattie} et al., SIAM Rev. 47, No. 3, 492--515 (2005; Zbl 1073.65028) Full Text: DOI
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
Oliveira, A. R. L.; Sorensen, D. C. A new class of preconditioners for large-scale linear systems from interior point methods for linear programming. (English) Zbl 1071.65088 Linear Algebra Appl. 394, 1-24 (2005). Reviewer: Ping-Qi Pan (Nanjing) MSC: 65K05 90C05 90C51 90C06 65F35 PDFBibTeX XMLCite \textit{A. R. L. Oliveira} and \textit{D. C. Sorensen}, Linear Algebra Appl. 394, 1--24 (2005; Zbl 1071.65088) Full Text: DOI Link
Sorensen, Danny C.; Zhou, Yunkai Direct methods for matrix Sylvester and Lyapunov equations. (English) Zbl 1028.65039 J. Appl. Math. 2003, No. 6, 277-303 (2003). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{Y. Zhou}, J. Appl. Math. 2003, No. 6, 277--303 (2003; Zbl 1028.65039) Full Text: DOI EuDML
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
Rojas, Marielba; Sorensen, Danny C. A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems. (English) Zbl 1006.86004 SIAM J. Sci. Comput. 23, No. 6, 1842-1860 (2002). MSC: 86A22 65K10 90C06 PDFBibTeX XMLCite \textit{M. Rojas} and \textit{D. C. Sorensen}, SIAM J. Sci. Comput. 23, No. 6, 1842--1860 (2002; Zbl 1006.86004) 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)
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
Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C. A new matrix-free algorithm for the large-scale trust-region subproblem. (English) Zbl 0994.65067 SIAM J. Optim. 11, No. 3, 611-646 (2000). MSC: 65K05 65F22 90C20 65F15 PDFBibTeX XMLCite \textit{M. Rojas} et al., SIAM J. Optim. 11, No. 3, 611--646 (2000; Zbl 0994.65067) Full Text: DOI
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. (English) Zbl 0934.65030 Software - Environments - Tools. 9. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xxi, 407 p. (1999). Reviewer: O.Pastravanu (Iaşi) MSC: 65Fxx 65Y15 65-01 15-04 68-00 68N20 PDFBibTeX XMLCite \textit{E. Anderson} et al., LAPACK user's guide. This work is dedicated to Jim Wilkinson. 3rd ed. Philadelphia, PA: SIAM (1999; Zbl 0934.65030) Full Text: DOI
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. Numerical linear algebra for high-performance computers. (English) Zbl 0914.65014 Software - Environments - Tools. 7. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xviii, 342 p. (1998). Reviewer: W.Gander (Zürich) MSC: 65Fxx 65-01 65Y10 65Y05 65Y15 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Numerical linear algebra for high-performance computers. Philadelphia, PA: SIAM (1998; Zbl 0914.65014) Full Text: DOI
Sorensen, D. C.; Yang, C. A truncated RQ iteration for large scale eigenvalue calculations. (English) Zbl 0918.65023 SIAM J. Matrix Anal. Appl. 19, No. 4, 1045-1073 (1998). Reviewer: A.Ruhe (Göteborg) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{C. Yang}, SIAM J. Matrix Anal. Appl. 19, No. 4, 1045--1073 (1998; Zbl 0918.65023) Full Text: DOI
Lehoucq, R. B.; Sorensen, D. C.; Yang, C. ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. (English) Zbl 0901.65021 Software - Environments - Tools, 6. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 142 p. (1998). Reviewer: P.Narain (Bombay) MSC: 65F15 65-02 15-04 PDFBibTeX XMLCite \textit{R. B. Lehoucq} et al., ARPACK user's guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Philadelphia, PA: SIAM (1998; Zbl 0901.65021) Full Text: DOI
Wu, Xudong T.; Korombath, Prakashan P.; Hayes, Edward F.; Sorensen, Danny C. Computation of rovibrational eigenvalues of van der Waals molecules on a CRAY T3D. (English) Zbl 0894.65053 J. Comput. Phys. 138, No. 2, 286-301 (1997). Reviewer: W.Heinrichs (Essen) MSC: 65N25 65Y05 82D15 81V55 35P15 35Q72 35Q40 PDFBibTeX XMLCite \textit{X. T. Wu} et al., J. Comput. Phys. 138, No. 2, 286--301 (1997; Zbl 0894.65053) Full Text: DOI
Lehoucq, R. B.; Sorensen, D. C. Deflation techniques for an implicitly restarted Arnoldi iteration. (English) Zbl 0863.65016 SIAM J. Matrix Anal. Appl. 17, No. 4, 789-821 (1996). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F15 PDFBibTeX XMLCite \textit{R. B. Lehoucq} and \textit{D. C. Sorensen}, SIAM J. Matrix Anal. Appl. 17, No. 4, 789--821 (1996; Zbl 0863.65016) 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
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)
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
Maschhoff, K. J.; Sorensen, D. C. P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. (English) Zbl 0886.65034 Waśniewski, Jerzy (ed.) et al., Applied parallel computing: industrial computation and optimization. Third international workshop, PARA ’96, Lyngby, Denmark, August 18–21, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1184, 478-486 (1996). MSC: 65F15 65Y05 65Y15 PDFBibTeX XMLCite \textit{K. J. Maschhoff} and \textit{D. C. Sorensen}, Lect. Notes Comput. Sci. 1184, 478--486 (1996; Zbl 0886.65034)
Smith, H. A.; Singh, R. K.; Sorensen, D. C. Formulation and solution of the nonlinear, damped eigenvalue problem for skeletal systems. (English) Zbl 0848.73039 Int. J. Numer. Methods Eng. 38, No. 18, 3071-3085 (1995). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 74H45 74S05 65F15 PDFBibTeX XMLCite \textit{H. A. Smith} et al., Int. J. Numer. Methods Eng. 38, No. 18, 3071--3085 (1995; Zbl 0848.73039) Full Text: DOI
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. LAPACK user’s guide. 2nd ed. (English) Zbl 0843.65018 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xix, 325 p. (1995). Reviewer: O.Pastravanu (Iaşi) MSC: 65Fxx 65Yxx 65-01 15-04 68-00 68N20 PDFBibTeX XMLCite \textit{E. Anderson} et al., LAPACK user's guide. 2nd ed. Philadelphia, PA: SIAM (1995; Zbl 0843.65018)
Calvetti, D.; Reichel, L.; Sorensen, Danny C. An implicit restarted Lanczos method for large symmetric eigenvalue problems. (English) Zbl 0809.65030 ETNA, Electron. Trans. Numer. Anal. 2, 1-21 (1994). MSC: 65F15 PDFBibTeX XMLCite \textit{D. Calvetti} et al., ETNA, Electron. Trans. Numer. Anal. 2, 1--21 (1994; Zbl 0809.65030) Full Text: EuDML EMIS
Pendergast, Phil; Darakjian, Zareh; Hayes, Edward F.; Sorensen, Danny C. Scalable algorithms for three-dimensional reactive scattering: Evaluation of a new algorithm for obtaining surface functions. (English) Zbl 0804.65117 J. Comput. Phys. 113, No. 2, 201-214 (1994). MSC: 65Z05 65F15 81U10 35Q40 PDFBibTeX XMLCite \textit{P. Pendergast} et al., J. Comput. Phys. 113, No. 2, 201--214 (1994; Zbl 0804.65117) Full Text: DOI
Jessup, E. R.; Sorensen, Danny C. A parallel algorithm for computing the singular value decomposition of a matrix. (English) Zbl 0797.65037 SIAM J. Matrix Anal. Appl. 15, No. 2, 530-548 (1994). Reviewer: D.Petcu (Timişoara) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{E. R. Jessup} and \textit{D. C. Sorensen}, SIAM J. Matrix Anal. Appl. 15, No. 2, 530--548 (1994; Zbl 0797.65037) Full Text: DOI
Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C. Krylov methods for the incompressible Navier-Stokes equations. (English) Zbl 0792.76062 J. Comput. Phys. 110, No. 1, 82-102 (1994). MSC: 76M25 76D05 65M70 PDFBibTeX XMLCite \textit{W. S. Edwards} et al., J. Comput. Phys. 110, No. 1, 82--102 (1994; Zbl 0792.76062) Full Text: DOI Link
Ammar, G. S.; Reichel, L.; Sorensen, D. C. Corrigendum: Algorithm 730. An implementation of a divide and conquer algorithm for the unitary eigenproblem. (English) Zbl 0894.65017 ACM Trans. Math. Softw. 20, No. 1, 161 (1994). MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{G. S. Ammar} et al., ACM Trans. Math. Softw. 20, No. 1, 161 (1994; Zbl 0894.65017) Full Text: DOI Link
Smith, H. A.; Sorensen, Danny C.; Singh, R. K. A Lanczos-based technique for exact vibration analysis of skeletal structures. (English) Zbl 0775.73152 Int. J. Numer. Methods Eng. 36, No. 12, 1987-2000 (1993). MSC: 74H45 74S05 65F15 PDFBibTeX XMLCite \textit{H. A. Smith} et al., Int. J. Numer. Methods Eng. 36, No. 12, 1987--2000 (1993; Zbl 0775.73152) Full Text: DOI
Ammar, G. S.; Reichel, L.; Sorensen, D. C. An implementation of a divide and conquer algorithm for the unitary eigenproblem. (English) Zbl 0892.65025 ACM Trans. Math. Softw. 18, No. 3, 292-307 (1992). MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{G. S. Ammar} et al., ACM Trans. Math. Softw. 18, No. 3, 292--307 (1992; Zbl 0892.65025) Full Text: DOI Link
Dongarra, Jack J. (ed.); Kennedy, Ken (ed.); Messina, Paul (ed.); Sorensen, Danny C. (ed.); Voigt, Robert G. (ed.) Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. (English) Zbl 0772.00024 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xvii, 648 p. (1992). MSC: 00B25 65-06 68-06 PDFBibTeX XMLCite \textit{J. J. Dongarra} (ed.) et al., Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM (1992; Zbl 0772.00024)
Sorensen, Danny C.; Tang, Ping Tak Peter On the orthogonality of eigenvectors computed by divide-and-conquer techniques. (English) Zbl 0743.65039 SIAM J. Numer. Anal. 28, No. 6, 1752-1775 (1991). Reviewer: H.Matthies (Hamburg) MSC: 65F15 65Y05 65G50 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{P. T. P. Tang}, SIAM J. Numer. Anal. 28, No. 6, 1752--1775 (1991; Zbl 0743.65039) Full Text: DOI
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. Solving linear systems on vector and shared memory computers. (English) Zbl 0770.65009 Philadelphia, PA: SIAM (ISBN 0-89871-270-X). xii, 256 p. (1990). Reviewer: I.N.Katz (St.Louis) MSC: 65F05 65F10 65Y05 65-02 65Y10 15-04 68W15 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Solving linear systems on vector and shared memory computers. Philadelphia, PA: SIAM (1990; Zbl 0770.65009)
Dongarra, Jack J. (ed.); Messina, Paul (ed.); Sorensen, Danny C. (ed.); Voigt, Robert G. (ed.) Parallel processing for scientific computing. Proceedings of the 4th SIAM conference, Chicago, IL, USA, 11-13 December 1989. (English) Zbl 1081.68503 Proceedings in Applied Mathematics 44. Philadelphia, PA: SIAM (ISBN 0-89871-262-9). 454 p. (1990). MSC: 68-06 00B25 65-06 PDFBibTeX XMLCite \textit{J. J. Dongarra} (ed.) et al., Parallel processing for scientific computing. Proceedings of the 4th SIAM conference, Chicago, IL, USA, 11-13 December 1989. Philadelphia, PA: SIAM (1990; Zbl 1081.68503)
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
Scroggs, Jeffrey S.; Sorensen, Danny C. An asymptotic induced numerical method for the convection-diffusion- reaction equation. (English) Zbl 0676.65102 Mathematics for large scale computing, Lect. Notes Pure Appl. Math. 120, 81-114 (1989). Reviewer: Hou Zongyi MSC: 65N22 65Y05 65H10 35K57 PDFBibTeX XML
Dongarra, Jack J.; Sorensen, Danny C. A look at the evolution of mathematical software for dense matrix problems over the past fifteen years. (English) Zbl 0703.65014 Numerical algorithms for modern parallel computer architectures, Proc. Workshop IMA Progr., Minneapolis/MN (USA) 1986-87, IMA Vol. Math. Appl. 13, 29-36 (1988). Reviewer: B.Burrows MSC: 65F05 65F15 65Y20 01A65 68Q25 65-03 15-04 PDFBibTeX XML
Brewer, Orlie; Dongarra, Jack J.; Sorensen, Danny C. Tools to aid in the analysis of memory access patterns for FORTRAN programs. (English) Zbl 0662.68009 Parallel Comput. 9, No. 1, 25-35 (1988). MSC: 68N01 15A23 68N25 PDFBibTeX XMLCite \textit{O. Brewer} et al., Parallel Comput. 9, No. 1, 25--35 (1988; Zbl 0662.68009) Full Text: DOI
Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim Programming methodology and performance issues for advanced computer architectures. (English) Zbl 0656.68035 Parallel Comput. 8, No. 1-3, 41-58 (1988). MSC: 68N25 68N99 65Y05 68M20 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Parallel Comput. 8, No. 1--3, 41--58 (1988; Zbl 0656.68035) Full Text: DOI
Dongarra, J. J.; Sorensen, Danny C. Algorithm design for high-performance computers. (English) Zbl 0648.65014 Parallel systems and computation, Proc. 2nd IBM Eur. Inst. Semin., Oberlech/Austria 1986, 83-97 (1988). Reviewer: N.F.F.Ebecken MSC: 65Fxx 65Y05 68N25 PDFBibTeX XML
Dongarra, Jack J.; Sorensen, Danny C. A look at the evolution of mathematical software for dense matrix problems over the past fifteen years. (English) Zbl 0667.65023 Supercomputing. State-of-the-art, 239-252 (1987). Reviewer: M.Vajteršic MSC: 65Fxx 65Y05 65-03 01A65 65-02 PDFBibTeX XML
Dongarra, Jack J.; Sorensen, Danny C. A fully parallel algorithm for the symmetric eigenvalue problem. (English) Zbl 0627.65033 SIAM J. Sci. Stat. Comput. 8, S139-S154 (1987). Reviewer: H.Ratschek MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{J. J. Dongarra} and \textit{D. C. Sorensen}, SIAM J. Sci. Stat. Comput. 8, S139--S154 (1987; Zbl 0627.65033) Full Text: DOI Link
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
Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. Implementation of some concurrent algorithms for matrix factorization. (English) Zbl 0591.65027 Parallel Comput. 3, 25-34 (1986). MSC: 65F05 68Q25 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Parallel Comput. 3, 25--34 (1986; Zbl 0591.65027) Full Text: DOI
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
Moré, Jorge J.; Sorensen, Danny C. Newton’s method. (English) Zbl 0608.65037 Studies in numerical analysis, MAA Stud. Math. 24, 29-82 (1984). Reviewer: Helmut F. Bauer (Neubiberg) MSC: 65K05 65-02 90C30 90C53 49M15 PDFBibTeX XMLCite \textit{J. J. Moré} and \textit{D. C. Sorensen}, MAA Stud. Math. 24, 29--82 (1984; Zbl 0608.65037)
Coleman, Thomas F.; Sorensen, Danny C. A note on the computation of an orthonormal basis for the null space of a matrix. (English) Zbl 0539.65020 Math. Program. 29, 234-242 (1984). Reviewer: W.Bunse MSC: 65F25 15A23 PDFBibTeX XMLCite \textit{T. F. Coleman} and \textit{D. C. Sorensen}, Math. Program. 29, 234--242 (1984; Zbl 0539.65020) Full Text: DOI
Moré, Jorge J.; Sorensen, D. C. Computing a trust region step. (English) Zbl 0551.65042 SIAM J. Sci. Stat. Comput. 4, 553-572 (1983). MSC: 65K05 90C20 PDFBibTeX XMLCite \textit{J. J. Moré} and \textit{D. C. Sorensen}, SIAM J. Sci. Stat. Comput. 4, 553--572 (1983; Zbl 0551.65042) Full Text: DOI Link
Fletcher, R.; Sorensen, D. C. An algorithmic derivation of the Jordan canonical form. (English) Zbl 0529.15008 Am. Math. Mon. 90, 12-16 (1983). MSC: 15A21 PDFBibTeX XMLCite \textit{R. Fletcher} and \textit{D. C. Sorensen}, Am. Math. Mon. 90, 12--16 (1983; Zbl 0529.15008) Full Text: DOI
Sorensen, D. C. (ed.); Wets, R. J.-B. (ed.) Nondifferential and variational techniques in optimization. Proceedings of the Workshop on Numerical Techniques for Systems Engineering Problems, Lexington, Kentucky, 1980. Part 2. (English) Zbl 0482.00017 Mathematical Programming Study, 17. Amsterdam - New York - Oxford: North- Holland Publishing Company. IX, 159 p. $ 28.00; Dfl. 60.00 (1982). MSC: 00Bxx 49-06 PDFBibTeX XML
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
More, Jorge J.; Sorensen, Danny C. On the use of directions of negative curvature in a modified Newton method. (English) Zbl 0394.90093 Math. Program. 16, 1-20 (1979). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{J. J. More} and \textit{D. C. Sorensen}, Math. Program. 16, 1--20 (1979; Zbl 0394.90093) Full Text: DOI
Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C. Rank-one modification of the symmetric eigenproblem. (English) Zbl 0369.65007 Numer. Math. 31, 31-48 (1978). MSC: 65F15 PDFBibTeX XMLCite \textit{J. R. Bunch} et al., Numer. Math. 31, 31--48 (1978; Zbl 0369.65007) Full Text: DOI EuDML Backlinks: MO