Edit Profile (opens in new tab) Sorensen, Danny C. Compute Distance To: Compute Author ID: sorensen.danny-c Published as: Sorensen, Danny C.; Sorensen, D. C.; Sorensen, D.; Sorensen, Dan C. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 88 Publications since 1978, including 5 Books 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 79 Co-Authors with 77 Joint Publications 3,115 Co-Co-Authors all top 5 Co-Authors 16 single-authored 15 Dongarra, Jack J. 7 Antoulas, Athanasios C. 4 Glowinski, Roland 4 Heinkenschloss, Matthias 4 Rojas, Marielba 3 Chaturantabut, Saifon 3 Embree, Mark 3 Hammarling, Sven J. 3 Moré, Jorge J. 3 Reichel, Lothar 3 Shah, Mili I. 3 Smith, Homer A. 3 Zhou, Yunkai 2 Ammar, Gregory S. 2 Antil, Harbir 2 Bai, Zhaojun 2 Benner, Peter 2 Bischof, Christian H. 2 Calderon, Christopher P. 2 Carroll, Raymond James 2 Demmel, James Weldon 2 Du Croz, Jeremy J. 2 Duff, Iain S. 2 Greenbaum, Anne 2 Grimme, Eric 2 Gugercin, Serkan 2 Hayes, Edward F. 2 Lehoucq, Richard B. 2 Martinez, Josue G. 2 McKenney, Alan 2 Messina, Paul F. 2 Santos, Sandra Augusta 2 Sun, Kai 2 Van der Vorst, Henk Albertus 2 Van Dooren, Paul M. 2 Voigt, Robert G. 2 Wets, Roger Jean-Baptiste 1 Beattie, Christopher A. 1 Blackford, S. 1 Brewer, Orlie 1 Bunch, James R. 1 Caboussat, Alexandre 1 Calvetti, Daniela 1 Castillo, Zenaida 1 Coleman, Thomas F. 1 Connolly, Kathryn 1 Darakjian, Zareh 1 Edwards, W. S. 1 Fletcher, Roger 1 Friesner, Richard A. 1 Gallivan, Kyle A. 1 Haasdonk, Bernard 1 Heath, Michael T. 1 Hoppe, Ronald H. W. 1 Jessup, Elizabeth R. 1 Kennedy, Ken 1 Klouček, Petr 1 Korombath, Prakashan P. 1 Maschhoff, Kristyn J. 1 Mehrmann, Volker 1 Nielsen, Christopher P. 1 Ohlberger, Mario 1 Oliveira, Aurelio Ribeiro Leite 1 Ostrouchov, Susan 1 Pasquali, Matteo 1 Patera, Anthony T. 1 Patterson, Jim 1 Pendergast, Phil 1 Rozza, Gianluigi 1 Sameh, Ahmed H. 1 Scroggs, Jeffrey S. 1 Tang, Ping Tak Peter 1 Tuckerman, Laurette Stephanie 1 Urban, Karsten 1 Wightman, Jennifer L. 1 Wriggers, Willy 1 Wu, Xudong T. 1 Xie, Xueying 1 Zhang, Zhiyong all top 5 Serials 6 SIAM Journal on Matrix Analysis and Applications 6 SIAM Journal on Scientific Computing 4 SIAM Journal on Numerical Analysis 4 Parallel Computing 4 Linear Algebra and its Applications 3 Journal of Computational Physics 3 ACM Transactions on Mathematical Software 3 International Journal for Numerical Methods in Engineering 3 Numerical Algorithms 3 Software - Environments - Tools 2 Mathematical Programming 2 SIAM Journal on Scientific and Statistical Computing 2 Systems & Control Letters 2 SIAM Journal on Optimization 2 ETNA. Electronic Transactions on Numerical Analysis 2 Multiscale Modeling & Simulation 2 Mathematical Programming Study 1 American Mathematical Monthly 1 Molecular Simulation 1 Applied Mathematics and Computation 1 IEEE Transactions on Computers 1 Journal of Computational and Applied Mathematics 1 Mathematical Programming Study 1 Numerische Mathematik 1 Journal of Scientific Computing 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Review 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Applied Mathematics 1 Acta Numerica 1 MAA Studies in Mathematics 1 Lecture Notes in Computational Science and Engineering 1 Proceedings in Applied Mathematics all top 5 Fields 77 Numerical analysis (65-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 13 Systems theory; control (93-XX) 12 Computer science (68-XX) 12 Operations research, mathematical programming (90-XX) 11 Partial differential equations (35-XX) 6 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 5 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 4,038 times in 3,109 Documents Cited by ▼ Year ▼ ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021Lehoucq, R. B.; Sorensen, D. C.; Yang, C. 523 1998 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 512 1999 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169Chaturantabut, Saifon; Sorensen, Danny C. 442 2010 Computing a trust region step. Zbl 0551.65042Moré, Jorge J.; Sorensen, D. C. 299 1983 Implicit application of polynomial filters in a \(k\)-step Arnoldi method. Zbl 0763.65025Sorensen, Danny C. 255 1992 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 129 1995 Newton’s method with a model trust region modification. Zbl 0483.65039Sorensen, D. C. 129 1982 Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016Lehoucq, R. B.; Sorensen, D. C. 124 1996 A survey of model reduction methods for large-scale systems. Zbl 1048.93014Antoulas, A. C.; Sorensen, D. C.; Gugercin, S. 98 2001 Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C. 86 1978 Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004 73 2005 Krylov methods for the incompressible Navier-Stokes equations. Zbl 0792.76062Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C. 72 1994 Numerical linear algebra for high-performance computers. Zbl 0914.65014Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 70 1998 On the decay rate of Hankel singular values and related issues. Zbl 1003.93024Antoulas, A. C.; Sorensen, D. C.; Zhou, Y. 70 2002 A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020Gugercin, S.; Sorensen, D. C.; Antoulas, A. C. 59 2003 A state space error estimate for POD-DEIM nonlinear model reduction. Zbl 1237.93035Chaturantabut, Saifon; Sorensen, Danny C. 58 2012 The Sylvester equation and approximate balanced reduction. Zbl 1023.93012Sorensen, D. C.; Antoulas, A. C. 57 2002 A new matrix-free algorithm for the large-scale trust-region subproblem. Zbl 0994.65067Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C. 50 2000 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030Calvetti, D.; Reichel, L.; Sorensen, Danny C. 48 1994 Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. Zbl 1216.76015Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai 48 2008 On the use of directions of negative curvature in a modified Newton method. Zbl 0394.90093More, Jorge J.; Sorensen, Danny C. 46 1979 Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052Grimme, E. J.; Sorensen, D. C.; Van Dooren, P. 45 1996 A new class of preconditioners for large-scale linear systems from interior point methods for linear programming. Zbl 1071.65088Oliveira, A. R. L.; Sorensen, D. C. 42 2005 The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization. Zbl 0428.65040Sorensen, D. C. 37 1980 Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. Zbl 1302.76127Chaturantabut, Saifon; Sorensen, Danny C. 36 2011 Minimization of a large-scale quadratic function subject to a spherical constraint. Zbl 0878.65044Sorensen, D. C. 36 1997 Approximation of large-scale dynamical systems: An overview. Zbl 1024.93008Antoulas, Athanasios C.; Sorensen, Dan C. 36 2001 Passivity preserving model reduction via interpolation of spectral zeros. Zbl 1129.93340Sorensen, D. C. 33 2005 A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127Wirtz, D.; Sorensen, D. C.; Haasdonk, B. 32 2014 Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization. Zbl 1291.65177Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C. 30 2008 Numerical methods for large eigenvalue problems. Zbl 1105.65325Sorensen, Danny C. 28 2002 A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033Dongarra, Jack J.; Sorensen, Danny C. 28 1987 A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems. Zbl 1006.86004Rojas, Marielba; Sorensen, Danny C. 28 2002 A DEIM induced CUR factorization. Zbl 1382.65121Sorensen, D. C.; Embree, Mark 26 2016 Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Zbl 0865.65019Sorensen, Danny C. 23 1997 Direct methods for matrix Sylvester and Lyapunov equations. Zbl 1028.65039Sorensen, Danny C.; Zhou, Yunkai 21 2003 Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028Beattie, Christopher A.; Embree, Mark; Sorensen, D. C. 20 2005 Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. 19 2010 Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. 17 1989 A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. 17 2013 P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. Zbl 0886.65034Maschhoff, K. J.; Sorensen, D. C. 16 1996 An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0892.65025Ammar, G. S.; Reichel, L.; Sorensen, D. C. 15 1992 On the orthogonality of eigenvectors computed by divide-and-conquer techniques. Zbl 0743.65039Sorensen, Danny C.; Tang, Ping Tak Peter 15 1991 A note on the computation of an orthonormal basis for the null space of a matrix. Zbl 0539.65020Coleman, Thomas F.; Sorensen, Danny C. 15 1984 Newton’s method. Zbl 0608.65037Moré, Jorge J.; Sorensen, Danny C. 14 1984 Solving linear systems on vector and shared memory computers. Zbl 0770.65009Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 13 1990 Accelerating the LSTRS algorithm. Zbl 1368.65096Lampe, J.; Rojas, M.; Sorensen, D. C.; Voss, H. 13 2011 Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C. 13 2014 A truncated RQ iteration for large scale eigenvalue calculations. Zbl 0918.65023Sorensen, D. C.; Yang, C. 10 1998 Analysis of pairwise pivoting in Gaussian elimination. Zbl 0551.65014Sorensen, Danny C. 10 1985 The approximation and computation of a basis of the trace space \(H^{1/2}\). Zbl 1122.65119Klouček, Petr; Sorensen, Danny C.; Wightman, Jennifer L. 8 2007 A parallel algorithm for computing the singular value decomposition of a matrix. Zbl 0797.65037Jessup, E. R.; Sorensen, Danny C. 8 1994 Collinear scaling and sequential estimation in sparse optimization algorithms. Zbl 0508.49028Sorensen, D. C. 8 1982 Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. 7 1986 Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. Zbl 1152.65477Glowinski, Roland; Sorensen, Danny C. 6 2008 On model reduction of structured systems. Zbl 1103.93018Sorensen, Danny C.; Antoulas, Athanasios C. 6 2005 Corrigendum: Algorithm 730. An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0894.65017Ammar, G. S.; Reichel, L.; Sorensen, D. C. 6 1994 Implicitly restarted Arnoldi/Lanczos methods and large scale SVD applications. Zbl 0826.65036Sorensen, D. C. 6 1995 Approximate implicit subspace iteration with alternating directions for LTI system model reduction. Zbl 1212.65258Zhou, Y.; Sorensen, D. C. 5 2008 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 4 2008 A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073Sorensen, Danny C.; Glowinski, Roland 4 2010 Linear algebra on high performance computers. Zbl 0628.65016Dongarra, Jack J.; Sorensen, Danny C. 4 1986 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008Fletcher, R.; Sorensen, D. C. 4 1983 A Lanczos-based technique for exact vibration analysis of skeletal structures. Zbl 0775.73152Smith, H. A.; Sorensen, Danny C.; Singh, R. K. 3 1993 Formulation and solution of the nonlinear, damped eigenvalue problem for skeletal systems. Zbl 0848.73039Smith, H. A.; Singh, R. K.; Sorensen, D. C. 3 1995 On some modifications of the Lanczos algorithm and the relation with Padé approximations. Zbl 1075.93506Gallivan, K.; Grimme, E.; Sorensen, D.; Van Dooren, P. 3 1996 Trust region methods for unconstrained minimization. Zbl 0571.90081Sorensen, D. C. 3 1982 A symmetry preserving singular value decomposition. Zbl 1124.65042Shah, Mili I.; Sorensen, Danny C. 2 2006 A pipelined Givens method for computing the QR factorization of a sparse matrix. Zbl 0587.65018Heath, M. T.; Sorensen, D. C. 2 1986 Truncated \(QZ\) methods for large scale generalized eigenvalue problems. Zbl 0915.65028Sorensen, D. C. 2 1998 Buffering for vector performance on a pipelined MIMD machine. Zbl 0547.65036Sorensen, D. C. 2 1984 Lyapunov, Lanczos, and inertia. Zbl 0997.65065Antoulas, A. C.; Sorensen, D. C. 2 2001 Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning. Zbl 1274.76095Castillo, Zenaida; Xie, Xueying; Sorensen, Danny C.; Embree, Mark; Pasquali, Matteo 1 2009 A parameter free ADI-like method for the numerical solution of large scale Lyapunov equations. Zbl 1372.65131Sorensen, Danny C. 1 2016 Best nonspherical symmetric low rank approximation. Zbl 1201.65065Shah, Mili I.; Sorensen, Danny C. 1 2010 Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim 1 1988 A DEIM induced CUR factorization. Zbl 1382.65121Sorensen, D. C.; Embree, Mark 26 2016 A parameter free ADI-like method for the numerical solution of large scale Lyapunov equations. Zbl 1372.65131Sorensen, Danny C. 1 2016 A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127Wirtz, D.; Sorensen, D. C.; Haasdonk, B. 32 2014 Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C. 13 2014 A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. 17 2013 A state space error estimate for POD-DEIM nonlinear model reduction. Zbl 1237.93035Chaturantabut, Saifon; Sorensen, Danny C. 58 2012 Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. Zbl 1302.76127Chaturantabut, Saifon; Sorensen, Danny C. 36 2011 Accelerating the LSTRS algorithm. Zbl 1368.65096Lampe, J.; Rojas, M.; Sorensen, D. C.; Voss, H. 13 2011 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169Chaturantabut, Saifon; Sorensen, Danny C. 442 2010 Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. 19 2010 A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073Sorensen, Danny C.; Glowinski, Roland 4 2010 Best nonspherical symmetric low rank approximation. Zbl 1201.65065Shah, Mili I.; Sorensen, Danny C. 1 2010 Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning. Zbl 1274.76095Castillo, Zenaida; Xie, Xueying; Sorensen, Danny C.; Embree, Mark; Pasquali, Matteo 1 2009 Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. Zbl 1216.76015Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai 48 2008 Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization. Zbl 1291.65177Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C. 30 2008 Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. Zbl 1152.65477Glowinski, Roland; Sorensen, Danny C. 6 2008 Approximate implicit subspace iteration with alternating directions for LTI system model reduction. Zbl 1212.65258Zhou, Y.; Sorensen, D. C. 5 2008 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 4 2008 The approximation and computation of a basis of the trace space \(H^{1/2}\). Zbl 1122.65119Klouček, Petr; Sorensen, Danny C.; Wightman, Jennifer L. 8 2007 A symmetry preserving singular value decomposition. Zbl 1124.65042Shah, Mili I.; Sorensen, Danny C. 2 2006 Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004 73 2005 A new class of preconditioners for large-scale linear systems from interior point methods for linear programming. Zbl 1071.65088Oliveira, A. R. L.; Sorensen, D. C. 42 2005 Passivity preserving model reduction via interpolation of spectral zeros. Zbl 1129.93340Sorensen, D. C. 33 2005 Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028Beattie, Christopher A.; Embree, Mark; Sorensen, D. C. 20 2005 On model reduction of structured systems. Zbl 1103.93018Sorensen, Danny C.; Antoulas, Athanasios C. 6 2005 A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020Gugercin, S.; Sorensen, D. C.; Antoulas, A. C. 59 2003 Direct methods for matrix Sylvester and Lyapunov equations. Zbl 1028.65039Sorensen, Danny C.; Zhou, Yunkai 21 2003 On the decay rate of Hankel singular values and related issues. Zbl 1003.93024Antoulas, A. C.; Sorensen, D. C.; Zhou, Y. 70 2002 The Sylvester equation and approximate balanced reduction. Zbl 1023.93012Sorensen, D. C.; Antoulas, A. C. 57 2002 Numerical methods for large eigenvalue problems. Zbl 1105.65325Sorensen, Danny C. 28 2002 A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems. Zbl 1006.86004Rojas, Marielba; Sorensen, Danny C. 28 2002 A survey of model reduction methods for large-scale systems. Zbl 1048.93014Antoulas, A. C.; Sorensen, D. C.; Gugercin, S. 98 2001 Approximation of large-scale dynamical systems: An overview. Zbl 1024.93008Antoulas, Athanasios C.; Sorensen, Dan C. 36 2001 Lyapunov, Lanczos, and inertia. Zbl 0997.65065Antoulas, A. C.; Sorensen, D. C. 2 2001 A new matrix-free algorithm for the large-scale trust-region subproblem. Zbl 0994.65067Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C. 50 2000 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 512 1999 ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021Lehoucq, R. B.; Sorensen, D. C.; Yang, C. 523 1998 Numerical linear algebra for high-performance computers. Zbl 0914.65014Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 70 1998 A truncated RQ iteration for large scale eigenvalue calculations. Zbl 0918.65023Sorensen, D. C.; Yang, C. 10 1998 Truncated \(QZ\) methods for large scale generalized eigenvalue problems. Zbl 0915.65028Sorensen, D. C. 2 1998 Minimization of a large-scale quadratic function subject to a spherical constraint. Zbl 0878.65044Sorensen, D. C. 36 1997 Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Zbl 0865.65019Sorensen, Danny C. 23 1997 Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016Lehoucq, R. B.; Sorensen, D. C. 124 1996 Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052Grimme, E. J.; Sorensen, D. C.; Van Dooren, P. 45 1996 P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. Zbl 0886.65034Maschhoff, K. J.; Sorensen, D. C. 16 1996 On some modifications of the Lanczos algorithm and the relation with Padé approximations. Zbl 1075.93506Gallivan, K.; Grimme, E.; Sorensen, D.; Van Dooren, P. 3 1996 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 129 1995 Implicitly restarted Arnoldi/Lanczos methods and large scale SVD applications. Zbl 0826.65036Sorensen, D. C. 6 1995 Formulation and solution of the nonlinear, damped eigenvalue problem for skeletal systems. Zbl 0848.73039Smith, H. A.; Singh, R. K.; Sorensen, D. C. 3 1995 Krylov methods for the incompressible Navier-Stokes equations. Zbl 0792.76062Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C. 72 1994 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030Calvetti, D.; Reichel, L.; Sorensen, Danny C. 48 1994 A parallel algorithm for computing the singular value decomposition of a matrix. Zbl 0797.65037Jessup, E. R.; Sorensen, Danny C. 8 1994 Corrigendum: Algorithm 730. An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0894.65017Ammar, G. S.; Reichel, L.; Sorensen, D. C. 6 1994 A Lanczos-based technique for exact vibration analysis of skeletal structures. Zbl 0775.73152Smith, H. A.; Sorensen, Danny C.; Singh, R. K. 3 1993 Implicit application of polynomial filters in a \(k\)-step Arnoldi method. Zbl 0763.65025Sorensen, Danny C. 255 1992 An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0892.65025Ammar, G. S.; Reichel, L.; Sorensen, D. C. 15 1992 On the orthogonality of eigenvectors computed by divide-and-conquer techniques. Zbl 0743.65039Sorensen, Danny C.; Tang, Ping Tak Peter 15 1991 Solving linear systems on vector and shared memory computers. Zbl 0770.65009Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 13 1990 Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J. 17 1989 Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim 1 1988 A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033Dongarra, Jack J.; Sorensen, Danny C. 28 1987 Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C. 7 1986 Linear algebra on high performance computers. Zbl 0628.65016Dongarra, Jack J.; Sorensen, Danny C. 4 1986 A pipelined Givens method for computing the QR factorization of a sparse matrix. Zbl 0587.65018Heath, M. T.; Sorensen, D. C. 2 1986 Analysis of pairwise pivoting in Gaussian elimination. Zbl 0551.65014Sorensen, Danny C. 10 1985 A note on the computation of an orthonormal basis for the null space of a matrix. Zbl 0539.65020Coleman, Thomas F.; Sorensen, Danny C. 15 1984 Newton’s method. Zbl 0608.65037Moré, Jorge J.; Sorensen, Danny C. 14 1984 Buffering for vector performance on a pipelined MIMD machine. Zbl 0547.65036Sorensen, D. C. 2 1984 Computing a trust region step. Zbl 0551.65042Moré, Jorge J.; Sorensen, D. C. 299 1983 An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008Fletcher, R.; Sorensen, D. C. 4 1983 Newton’s method with a model trust region modification. Zbl 0483.65039Sorensen, D. C. 129 1982 Collinear scaling and sequential estimation in sparse optimization algorithms. Zbl 0508.49028Sorensen, D. C. 8 1982 Trust region methods for unconstrained minimization. Zbl 0571.90081Sorensen, D. C. 3 1982 The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization. Zbl 0428.65040Sorensen, D. C. 37 1980 On the use of directions of negative curvature in a modified Newton method. Zbl 0394.90093More, Jorge J.; Sorensen, Danny C. 46 1979 Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C. 86 1978 all cited Publications top 5 cited Publications all top 5 Cited by 4,881 Authors 74 Benner, Peter 34 Reichel, Lothar 27 Gugercin, Serkan 22 Willcox, Karen E. 21 Kressner, Daniel 19 Beattie, Christopher A. 18 Mehrmann, Volker 18 Navon, Ionel Michael 17 Hesthaven, Jan S. 17 Schmid, Peter Joseph 17 Zhu, Detong 16 Simoncini, Valeria 15 Dongarra, Jack J. 15 Manzoni, Andrea 15 Meerbergen, Karl 15 Quintana-Ortí, Enrique S. 15 Sipp, Denis 15 Zhang, Lei-Hong 14 Carlberg, Kevin T. 14 Sorensen, Danny C. 14 Stykel, Tatjana 13 Calvetti, Daniela 13 Giani, Stefano 13 Jbilou, Khalide 13 Jia, Zhongxiao 13 Karasözen, Bülent 13 Li, Rencang 13 Oliveira, Aurelio Ribeiro Leite 13 Peherstorfer, Benjamin 13 Wu, Gang 12 Dehghan Takht Fooladi, Mehdi 12 Farhat, Charbel H. 12 Heinkenschloss, Matthias 12 Lin, Wen-Wei 12 Martínez, José Mario 12 Pini, Giorgio 12 Saad, Yousef 12 Saak, Jens 12 Uzunca, Murat 11 Antoulas, Athanasios C. 11 Drmač, Zlatko 11 Fang, Fangxin 11 Haasdonk, Bernard 11 Quarteroni, Alfio M. 11 Sun, Wenyu 11 Wei, Yimin 10 Abbaszadeh, Mostafa 10 Bergamaschi, Luca 10 Golub, Gene Howard 10 Pain, Christopher C. 10 Van Dooren, Paul M. 10 Zhou, Yunkai 10 Zlatev, Zahari 9 Abdel-Aziz, Mohammedi R. 9 Aishima, Kensuke 9 Amsallem, David 9 Bai, Zhaojun 9 Breiten, Tobias 9 Brunton, Steven L. 9 Chaturantabut, Saifon 9 Choi, Youngsoo 9 Chomaz, Jean-Marc 9 Feng, Lihong 9 Glowinski, Roland 9 Gondzio, Jacek 9 Heltai, Luca 9 Hochstenbach, Michiel E. 9 Iliescu, Traian 9 Kürschner, Patrick 9 Ni, Qin 9 Qu, Shaojian 9 Shen, Chungen 9 Xia, Yong 8 Ariyawansa, K. A. 8 Baglama, James 8 Bangerth, Wolfgang 8 Embree, Mark 8 Faßbender, Heike 8 Heiland, Jan 8 Heister, Timo 8 Henningson, Dan S. 8 Higham, Nicholas J. 8 Himpe, Christian 8 Jiang, Yaolin 8 Kronbichler, Martin 8 Kutz, J. Nathan 8 Lu, Linzhang 8 Lukšan, Ladislav 8 Maier, Matthias Sebastian 8 Marquet, Olivier 8 Robinet, Jean-Christophe 8 Turcksin, Bruno 8 Wang, Qingwen 8 Wang, Zhu 7 Alonso, Pedro 7 Arndt, Daniel 7 Bentbib, Abdeslem Hafid 7 Bujanović, Zvonimir 7 Caboussat, Alexandre 7 Demmel, James Weldon ...and 4,781 more Authors all top 5 Cited in 363 Serials 197 Journal of Computational Physics 165 Journal of Computational and Applied Mathematics 135 SIAM Journal on Scientific Computing 134 Linear Algebra and its Applications 128 Computer Methods in Applied Mechanics and Engineering 109 Journal of Fluid Mechanics 83 Applied Mathematics and Computation 68 Computers & Mathematics with Applications 63 SIAM Journal on Matrix Analysis and Applications 62 Computer Physics Communications 60 International Journal for Numerical Methods in Engineering 59 Numerical Linear Algebra with Applications 56 Numerical Algorithms 54 Mathematical Programming. Series A. Series B 53 Computational Optimization and Applications 52 Applied Numerical Mathematics 52 Journal of Scientific Computing 46 Optimization Methods & Software 41 BIT 41 Numerische Mathematik 38 Computers and Fluids 37 Journal of Optimization Theory and Applications 35 Advances in Computational Mathematics 30 Systems & Control Letters 27 Automatica 27 Computational Mechanics 27 SIAM Journal on Optimization 27 Physics of Fluids 26 Mathematics of Computation 21 International Journal for Numerical Methods in Fluids 20 Journal of Global Optimization 17 Mathematics and Computers in Simulation 17 European Journal of Operational Research 15 Computing 15 International Journal of Computer Mathematics 15 Mathematical and Computer Modelling of Dynamical Systems 14 Mathematical and Computer Modelling 14 Engineering Analysis with Boundary Elements 14 Computational Geosciences 13 Applied Mathematics Letters 12 International Journal of Control 12 ACM Transactions on Mathematical Software 12 Optimization 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Linear and Multilinear Algebra 11 Mathematical Programming 11 Japan Journal of Industrial and Applied Mathematics 11 European Journal of Mechanics. B. Fluids 11 Acta Numerica 11 SIAM/ASA Journal on Uncertainty Quantification 10 Numerical Functional Analysis and Optimization 10 Physica D 10 Applied Mathematical Modelling 10 Mathematical Problems in Engineering 10 Multiscale Modeling & Simulation 9 SIAM Journal on Numerical Analysis 9 Annals of Operations Research 9 Computational and Applied Mathematics 9 International Journal of Computational Fluid Dynamics 9 Archives of Computational Methods in Engineering 9 Journal of Numerical Mathematics 9 Optimization Letters 8 Journal of the Franklin Institute 8 Mathematical Programming Computation 8 Numerical Algebra, Control and Optimization 7 Calcolo 7 Parallel Computing 7 MCSS. Mathematics of Control, Signals, and Systems 7 SIAM Review 7 Computational Statistics and Data Analysis 7 Communications in Numerical Methods in Engineering 7 European Journal of Mechanics. A. Solids 7 Journal of Machine Learning Research (JMLR) 7 Communications in Computational Physics 6 Inverse Problems 6 Mathematical Biosciences 6 SIAM Journal on Control and Optimization 6 Machine Learning 6 Journal of Nonlinear Science 6 ETNA. Electronic Transactions on Numerical Analysis 6 SIAM Journal on Applied Dynamical Systems 6 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 5 Acta Mechanica 5 Journal of Mathematical Physics 5 Applied Mathematics and Optimization 5 Kybernetika 5 Operations Research Letters 5 Computer Aided Geometric Design 5 COMPEL 5 Annals of Physics 5 Journal of Mathematical Chemistry 5 European Journal of Control 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Chaos 5 Optimization and Engineering 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 5 GAMM-Mitteilungen 5 SIAM Journal on Imaging Sciences ...and 263 more Serials all top 5 Cited in 53 Fields 1,923 Numerical analysis (65-XX) 529 Operations research, mathematical programming (90-XX) 506 Fluid mechanics (76-XX) 389 Linear and multilinear algebra; matrix theory (15-XX) 330 Partial differential equations (35-XX) 327 Systems theory; control (93-XX) 214 Mechanics of deformable solids (74-XX) 171 Computer science (68-XX) 162 Calculus of variations and optimal control; optimization (49-XX) 126 Statistics (62-XX) 104 Optics, electromagnetic theory (78-XX) 93 Quantum theory (81-XX) 91 Dynamical systems and ergodic theory (37-XX) 85 Statistical mechanics, structure of matter (82-XX) 76 Ordinary differential equations (34-XX) 71 Biology and other natural sciences (92-XX) 48 Geophysics (86-XX) 47 Approximations and expansions (41-XX) 47 Probability theory and stochastic processes (60-XX) 44 Classical thermodynamics, heat transfer (80-XX) 35 Operator theory (47-XX) 35 Mechanics of particles and systems (70-XX) 29 Information and communication theory, circuits (94-XX) 20 Combinatorics (05-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Functions of a complex variable (30-XX) 14 Integral equations (45-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 7 Potential theory (31-XX) 6 Field theory and polynomials (12-XX) 6 Difference and functional equations (39-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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