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Danny C. Sorensen - Publications

Affiliations: 
Rice University, Houston, TX 
Area:
Mathematics
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56 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Sorensen DC, Embree M. A DEIM Induced CUR Factorization Siam Journal On Scientific Computing. 38: A1454-A1482. DOI: 10.1137/140978430  0.334
2015 Benner P, Ohlberger M, Patera AT, Rozza G, Sorensen DC, Urban K. Model order reduction of parameterized systems (MoRePaS): Preface to the special issue of advances in computational mathematics Advances in Computational Mathematics. 41: 955-960. DOI: 10.1007/S10444-015-9443-Y  0.359
2014 Du B, Sorensen D, Cox SJ. Model reduction of strong-weak neurons. Frontiers in Computational Neuroscience. 8: 164. PMID 25566048 DOI: 10.3389/Fncom.2014.00164  0.343
2014 Ghidini C, Oliveira ARL, Sorensen DC. Computing a hybrid preconditioner approach to solve the linear systems arising from interior point methods for linear programming using the conjugate gradient method Annals of Management Science. 3: 43-64. DOI: 10.24048/AMS3.NO1.2014-43  0.306
2014 Wirtz D, Sorensen DC, Haasdonk B. A posteriori error estimation for deim reduced nonlinear dynamical systems Siam Journal On Scientific Computing. 36. DOI: 10.1137/120899042  0.483
2013 Caboussat A, Glowinski R, Sorensen DC. A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge - Ampère equation in dimension two Esaim - Control, Optimisation and Calculus of Variations. 19: 780-810. DOI: 10.1051/Cocv/2012033  0.448
2012 Chaturantabut S, Sorensen DC. A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction Siam Journal On Numerical Analysis. 50: 46-63. DOI: 10.1137/110822724  0.763
2011 Lampe J, Rojas M, Sorensen DC, Voss H. Accelerating the LSTRS Algorithm Siam Journal On Scientific Computing. 33: 175-194. DOI: 10.1137/090764426  0.429
2011 Chaturantabut S, Sorensen DC. Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media Mathematical and Computer Modelling of Dynamical Systems. 17: 337-353. DOI: 10.1080/13873954.2011.547660  0.767
2010 Calderon CP, Martinez JG, Carroll RJ, Sorensen DC. P-SPLINES USING DERIVATIVE INFORMATION. Multiscale Modeling & Simulation : a Siam Interdisciplinary Journal. 8: 1562-1580. PMID 21691592 DOI: 10.1137/090768102  0.348
2010 Kellems AR, Chaturantabut S, Sorensen DC, Cox SJ. Morphologically accurate reduced order modeling of spiking neurons. Journal of Computational Neuroscience. 28: 477-94. PMID 20300957 DOI: 10.1007/S10827-010-0229-4  0.76
2010 Chaturantabut S, Sorensen DC. Nonlinear Model Reduction via Discrete Empirical Interpolation Siam Journal On Scientific Computing. 32: 2737-2764. DOI: 10.1137/090766498  0.784
2010 Shah MI, Sorensen DC. Best Nonspherical Symmetric Low Rank Approximation Siam Journal On Matrix Analysis and Applications. 31: 1019-1039. DOI: 10.1137/080732808  0.353
2010 Sorensen DC, Glowinski R. A quadratically constrained minimization problem arising from pde of monge-ampère type Numerical Algorithms. 53: 53-66. DOI: 10.1007/S11075-009-9300-5  0.441
2010 Antil H, Heinkenschloss M, Hoppe RHW, Sorensen DC. Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables Computing and Visualization in Science. 13: 249-264. DOI: 10.1007/S00791-010-0142-4  0.348
2009 Castillo Z, Xie X, Sorensen DC, Embree M, Pasquali M. Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning Journal of Non-Newtonian Fluid Mechanics. 157: 44-54. DOI: 10.1016/J.Jnnfm.2008.09.005  0.752
2009 Gildin E, Antoulas AC, Sorensen D, Bishop RH. Model and controller reduction applied to structural control using passivity theory Structural Control and Health Monitoring. 16: 319-334. DOI: 10.1002/Stc.257  0.383
2008 Rojas M, Santos SA, Sorensen DC. Algorithm 873 Acm Transactions On Mathematical Software. 34: 1-28. DOI: 10.1145/1326548.1326553  0.425
2008 Heinkenschloss M, Sorensen DC, Sun K. Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations Siam Journal On Scientific Computing. 30: 1038-1063. DOI: 10.1137/070681910  0.449
2008 Zhou Y, Sorensen DC. Approximate implicit subspace iteration with alternating directions for LTI system model reduction Numerical Linear Algebra With Applications. 15: 873-886. DOI: 10.1002/Nla.602  0.724
2006 Shah MI, Sorensen DC. A Symmetry Preserving Singular Value Decomposition Siam Journal On Matrix Analysis and Applications. 28: 749-769. DOI: 10.1137/050646676  0.375
2006 Wriggers W, Zhang Z, Shah M, Sorensen DC. Simulating nanoscale functional motions of biomolecules Molecular Simulation. 32: 803-815. DOI: 10.1080/08927020600771415  0.666
2006 Klouček P, Sorensen DC, Wightman JL. The Approximation and Computation of a Basis of the Trace Space H 1/2 Journal of Scientific Computing. 32: 73-108. DOI: 10.1007/S10915-006-9118-4  0.445
2005 Beattie CA, Embree M, Sorensen DC. Convergence of polynomial restart Krylov methods for eigenvalue computations Siam Review. 47: 492-515. DOI: 10.1137/S0036144503433077  0.441
2005 Oliveira A, Sorensen D. A new class of preconditioners for large-scale linear systems from interior point methods for linear programming Linear Algebra and Its Applications. 394: 1-24. DOI: 10.1016/J.Laa.2004.08.019  0.466
2004 Berrier KL, Sorensen DC, Khoury DS. Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter. Ieee Transactions On Bio-Medical Engineering. 51: 507-15. PMID 15000381 DOI: 10.1109/Tbme.2003.821027  0.735
2003 Sorensen DC, Zhou Y. Direct methods for matrix Sylvester and Lyapunov equations Journal of Applied Mathematics. 2003: 277-303. DOI: 10.1155/S1110757X03212055  0.693
2003 Gugercin S, Sorensen DC, Antoulas AC. A modified low-rank Smith method for large-scale Lyapunov equations Numerical Algorithms. 32: 27-55. DOI: 10.1023/A:1022205420182  0.486
2003 Sorensen DC. Passivity preserving model reduction via interpolation of spectral zeros European Control Conference, Ecc 2003. 974-978. DOI: 10.1016/J.Sysconle.2004.07.006  0.392
2002 Rojas M, Sorensen DC. A Trust-Region Approach to the Regularization of Large-Scale Discrete Forms of Ill-Posed Problems Siam Journal On Scientific Computing. 23: 1842-1860. DOI: 10.1137/S1064827500378167  0.396
2002 Sorensen DC. Numerical methods for large eigenvalue problems Acta Numerica. 11: 519-584. DOI: 10.1017/S0962492902000089  0.433
2002 Antoulas AC, Sorensen DC, Zhou Y. On the decay rate of Hankel singular values and related issues Systems and Control Letters. 46: 323-342. DOI: 10.1016/S0167-6911(02)00147-0  0.714
2002 Sorensen DC, Antoulas AC. The Sylvester equation and approximate balanced reduction Linear Algebra and Its Applications. 351: 671-700. DOI: 10.1016/S0024-3795(02)00283-5  0.498
2001 Rojas M, Santos SA, Sorensen DC. A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem Siam Journal On Optimization. 11: 611-646. DOI: 10.1137/S105262349928887X  0.435
2001 Antoulas AC, Sorensen DC. Lyapunov, Lanczos, and inertia Linear Algebra and Its Applications. 326: 137-150. DOI: 10.1016/S0024-3795(00)00288-3  0.443
2001 Yang C, Noid DW, Sumpter BG, Sorensen DC, Tuzun RE. An Efficient Algorithm for Calculating the Heat Capacity of a Large-Scale Molecular System Macromolecular Theory and Simulations. 10: 756-761. DOI: 10.1002/1521-3919(20011001)10:8<756::Aid-Mats756>3.0.Co;2-E  0.354
1998 Sorensen DC, Yang C. A Truncated RQ Iteration for Large Scale Eigenvalue Calculations Siam Journal On Matrix Analysis and Applications. 19: 1045-1073. DOI: 10.1137/S0895479896305398  0.467
1996 Lehoucq RB, Sorensen DC. Deflation Techniques for an Implicitly Restarted Arnoldi Iteration Siam Journal On Matrix Analysis and Applications. 17: 789-821. DOI: 10.1137/S0895479895281484  0.447
1996 Antoulas A, Grimme E, Sorensen D. On Behaviors, Rational Interpolation, and the Lanczos Algorithm Ifac Proceedings Volumes. 29: 3957-3962. DOI: 10.1016/S1474-6670(17)58298-1  0.428
1996 Grimme EJ, Sorensen DC, Van Dooren P. Model reduction of state space systems via an implicitly restarted Lanczos method Numerical Algorithms. 12: 1-31. DOI: 10.1007/Bf02141739  0.39
1995 Romo TD, Clarage JB, Sorensen DC, Phillips GN. Automatic identification of discrete substates in proteins: Singular value decomposition analysis of time-averaged crystallographic refinements Proteins: Structure, Function and Genetics. 22: 311-321. PMID 7479706 DOI: 10.1002/Prot.340220403  0.337
1994 Ammar GS, Reichel L, Sorensen DC. Corrigendum: Algorithm 730: An Implementation of a Divide and Conquer Algorithm for the Unitary Eigenproblem Acm Transactions On Mathematical Software (Toms). 20: 161. DOI: 10.1145/174603.174406  0.341
1994 Pendergast P, Darakjian Z, Hayes EF, Sorensen DC. Scalable Algorithms for Three-Dimensional Reactive Scattering: Evaluation of a New Algorithm for Obtaining Surface Functions Journal of Computational Physics. 113: 201-214. DOI: 10.1006/Jcph.1994.1130  0.353
1994 Edwards W, Tuckerman L, Friesner R, Sorensen D. Krylov Methods for the Incompressible Navier-Stokes Equations Journal of Computational Physics. 110: 82-102. DOI: 10.1006/Jcph.1994.1007  0.345
1992 Ammar GS, Reichel L, Sorensen DC. An Implementation of a Divide and Conquer Algorithm for the Unitary Eigenproblem Acm Transactions On Mathematical Software (Toms). 18: 292-307. DOI: 10.1145/131766.131770  0.33
1992 Sorensen DC. Implicit Application of Polynomial Filters in a k-Step Arnoldi Method Siam Journal On Matrix Analysis and Applications. 13: 357-385. DOI: 10.1137/0613025  0.426
1987 Dongarra JJ, Sorensen DC. A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem Siam Journal On Scientific and Statistical Computing. 8: s139-s154. DOI: 10.1137/0908018  0.388
1986 Dongarra JJ, Sorensen DC. High Performance Computers and Algorithms From Linear Algebra North-Holland Mathematics Studies. 127: 15-36. DOI: 10.1016/S0304-0208(08)72637-9  0.325
1986 Dongarra JJ, Sorensen DC. Linear algebra on high performance computers Applied Mathematics and Computation. 20: 57-88. DOI: 10.1016/0096-3003(86)90126-8  0.408
1986 Heath M, Sorensen D. A pipelined givens method for computing the QR factorization of a sparse matrix Linear Algebra and Its Applications. 77: 189-203. DOI: 10.1016/0024-3795(86)90168-0  0.377
1984 Coleman TF, Sorensen DC. A note on the computation of an orthonormal basis for the null space of a matrix Mathematical Programming. 29: 234-242. DOI: 10.1007/Bf02592223  0.306
1983 Moré JJ, Sorensen DC. Computing a Trust Region Step Siam Journal On Scientific and Statistical Computing. 4: 553-572. DOI: 10.1137/0904038  0.382
1982 Sorensen DC. Newton’s Method with a Model Trust Region Modification Siam Journal On Numerical Analysis. 19: 409-426. DOI: 10.1137/0719026  0.43
1981 Sorensen DC. An example concerning quasi-Newton estimation of a sparse hessian Acm Signum Newsletter. 16: 8-10. DOI: 10.1145/1057562.1057564  0.368
1979 Moré JJ, Sorensen DC. On the use of directions of negative curvature in a modified newton method Mathematical Programming. 16: 1-20. DOI: 10.1007/Bf01582091  0.34
1978 Bunch JR, Nielsen CP, Sorensen DC. Rank-one modification of the symmetric eigenproblem Numerische Mathematik. 31: 31-48. DOI: 10.1007/Bf01396012  0.376
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