×
Compute Distance To:
Author ID: sorensen.danny-c Recent zbMATH articles by "Sorensen, Danny C."
Published as: Sorensen, Danny C.; Sorensen, D. C.; Sorensen, D.; Sorensen, Dan C.
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
3,068 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

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 3,912 times in 2,999 Documents Cited by Year
ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021
Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
507
1998
LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D.
483
1999
Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169
Chaturantabut, Saifon; Sorensen, Danny C.
412
2010
Computing a trust region step. Zbl 0551.65042
Moré, Jorge J.; Sorensen, D. C.
295
1983
Implicit application of polynomial filters in a \(k\)-step Arnoldi method. Zbl 0763.65025
Sorensen, Danny C.
253
1992
LAPACK user’s guide. 2nd ed. Zbl 0843.65018
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D.
128
1995
Newton’s method with a model trust region modification. Zbl 0483.65039
Sorensen, D. C.
127
1982
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
122
1996
A survey of model reduction methods for large-scale systems. Zbl 1048.93014
Antoulas, A. C.; Sorensen, D. C.; Gugercin, S.
96
2001
Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007
Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C.
82
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 0792.76062
Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C.
71
1994
On the decay rate of Hankel singular values and related issues. Zbl 1003.93024
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y.
70
2002
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
70
1998
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C.
59
2003
The Sylvester equation and approximate balanced reduction. Zbl 1023.93012
Sorensen, D. C.; Antoulas, A. C.
57
2002
A state space error estimate for POD-DEIM nonlinear model reduction. Zbl 1237.93035
Chaturantabut, Saifon; Sorensen, Danny C.
54
2012
A new matrix-free algorithm for the large-scale trust-region subproblem. Zbl 0994.65067
Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C.
50
2000
Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. Zbl 1216.76015
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai
47
2008
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
47
1994
On the use of directions of negative curvature in a modified Newton method. Zbl 0394.90093
More, Jorge J.; Sorensen, Danny C.
46
1979
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P.
43
1996
A new class of preconditioners for large-scale linear systems from interior point methods for linear programming. Zbl 1071.65088
Oliveira, A. R. L.; Sorensen, D. C.
38
2005
The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization. Zbl 0428.65040
Sorensen, D. C.
37
1980
Minimization of a large-scale quadratic function subject to a spherical constraint. Zbl 0878.65044
Sorensen, D. C.
36
1997
Approximation of large-scale dynamical systems: An overview. Zbl 1024.93008
Antoulas, Athanasios C.; Sorensen, Dan C.
35
2001
Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. Zbl 1302.76127
Chaturantabut, Saifon; Sorensen, Danny C.
34
2011
Passivity preserving model reduction via interpolation of spectral zeros. Zbl 1129.93340
Sorensen, D. C.
32
2005
Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization. Zbl 1291.65177
Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C.
30
2008
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
28
2002
A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127
Wirtz, D.; Sorensen, D. C.; Haasdonk, B.
28
2014
A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems. Zbl 1006.86004
Rojas, Marielba; Sorensen, Danny C.
28
2002
A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033
Dongarra, Jack J.; Sorensen, Danny C.
27
1987
A DEIM induced CUR factorization. Zbl 1382.65121
Sorensen, D. C.; Embree, Mark
22
2016
Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Zbl 0865.65019
Sorensen, Danny C.
22
1997
Direct methods for matrix Sylvester and Lyapunov equations. Zbl 1028.65039
Sorensen, Danny C.; Zhou, Yunkai
21
2003
Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C.
20
2005
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089
Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C.
17
2013
Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025
Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J.
16
1989
P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. Zbl 0886.65034
Maschhoff, K. J.; Sorensen, D. C.
16
1996
On the orthogonality of eigenvectors computed by divide-and-conquer techniques. Zbl 0743.65039
Sorensen, 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 0539.65020
Coleman, Thomas F.; Sorensen, Danny C.
15
1984
An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0892.65025
Ammar, G. S.; Reichel, L.; Sorensen, D. C.
15
1992
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
15
2010
Solving linear systems on vector and shared memory computers. Zbl 0770.65009
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
13
1990
Accelerating the LSTRS algorithm. Zbl 1368.65096
Lampe, J.; Rojas, M.; Sorensen, D. C.; Voss, H.
13
2011
Newton’s method. Zbl 0608.65037
Moré, Jorge J.; Sorensen, Danny C.
13
1984
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C.
12
2014
A truncated RQ iteration for large scale eigenvalue calculations. Zbl 0918.65023
Sorensen, D. C.; Yang, C.
10
1998
Analysis of pairwise pivoting in Gaussian elimination. Zbl 0551.65014
Sorensen, Danny C.
10
1985
The approximation and computation of a basis of the trace space \(H^{1/2}\). Zbl 1122.65119
Klouček, Petr; Sorensen, Danny C.; Wightman, Jennifer L.
8
2007
Collinear scaling and sequential estimation in sparse optimization algorithms. Zbl 0508.49028
Sorensen, D. C.
8
1982
A parallel algorithm for computing the singular value decomposition of a matrix. Zbl 0797.65037
Jessup, E. R.; Sorensen, Danny C.
8
1994
Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027
Dongarra, 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 1152.65477
Glowinski, Roland; Sorensen, Danny C.
6
2008
Corrigendum: Algorithm 730. An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0894.65017
Ammar, G. S.; Reichel, L.; Sorensen, D. C.
6
1994
On model reduction of structured systems. Zbl 1103.93018
Sorensen, Danny C.; Antoulas, Athanasios C.
6
2005
Implicitly restarted Arnoldi/Lanczos methods and large scale SVD applications. Zbl 0826.65036
Sorensen, D. C.
6
1995
Approximate implicit subspace iteration with alternating directions for LTI system model reduction. Zbl 1212.65258
Zhou, Y.; Sorensen, D. C.
5
2008
A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073
Sorensen, Danny C.; Glowinski, Roland
4
2010
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C.
4
2008
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
4
1983
Linear algebra on high performance computers. Zbl 0628.65016
Dongarra, Jack J.; Sorensen, Danny C.
4
1986
Trust region methods for unconstrained minimization. Zbl 0571.90081
Sorensen, D. C.
3
1982
On some modifications of the Lanczos algorithm and the relation with Padé approximations. Zbl 1075.93506
Gallivan, K.; Grimme, E.; Sorensen, D.; Van Dooren, P.
3
1996
A Lanczos-based technique for exact vibration analysis of skeletal structures. Zbl 0775.73152
Smith, H. A.; Sorensen, Danny C.; Singh, R. K.
3
1993
Formulation and solution of the nonlinear, damped eigenvalue problem for skeletal systems. Zbl 0848.73039
Smith, H. A.; Singh, R. K.; Sorensen, D. C.
3
1995
A symmetry preserving singular value decomposition. Zbl 1124.65042
Shah, Mili I.; Sorensen, Danny C.
2
2006
Buffering for vector performance on a pipelined MIMD machine. Zbl 0547.65036
Sorensen, D. C.
2
1984
A pipelined Givens method for computing the QR factorization of a sparse matrix. Zbl 0587.65018
Heath, M. T.; Sorensen, D. C.
2
1986
Truncated \(QZ\) methods for large scale generalized eigenvalue problems. Zbl 0915.65028
Sorensen, D. C.
2
1998
Lyapunov, Lanczos, and inertia. Zbl 0997.65065
Antoulas, A. C.; Sorensen, D. C.
2
2001
A parameter free ADI-like method for the numerical solution of large scale Lyapunov equations. Zbl 1372.65131
Sorensen, Danny C.
1
2016
Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035
Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim
1
1988
Best nonspherical symmetric low rank approximation. Zbl 1201.65065
Shah, Mili I.; Sorensen, Danny C.
1
2010
Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning. Zbl 1274.76095
Castillo, Zenaida; Xie, Xueying; Sorensen, Danny C.; Embree, Mark; Pasquali, Matteo
1
2009
A DEIM induced CUR factorization. Zbl 1382.65121
Sorensen, D. C.; Embree, Mark
22
2016
A parameter free ADI-like method for the numerical solution of large scale Lyapunov equations. Zbl 1372.65131
Sorensen, Danny C.
1
2016
A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127
Wirtz, D.; Sorensen, D. C.; Haasdonk, B.
28
2014
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C.
12
2014
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089
Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C.
17
2013
A state space error estimate for POD-DEIM nonlinear model reduction. Zbl 1237.93035
Chaturantabut, Saifon; Sorensen, Danny C.
54
2012
Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media. Zbl 1302.76127
Chaturantabut, Saifon; Sorensen, Danny C.
34
2011
Accelerating the LSTRS algorithm. Zbl 1368.65096
Lampe, J.; Rojas, M.; Sorensen, D. C.; Voss, H.
13
2011
Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169
Chaturantabut, Saifon; Sorensen, Danny C.
412
2010
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
15
2010
A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073
Sorensen, Danny C.; Glowinski, Roland
4
2010
Best nonspherical symmetric low rank approximation. Zbl 1201.65065
Shah, Mili I.; Sorensen, Danny C.
1
2010
Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning. Zbl 1274.76095
Castillo, 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 1216.76015
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai
47
2008
Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization. Zbl 1291.65177
Rojas, 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 1152.65477
Glowinski, Roland; Sorensen, Danny C.
6
2008
Approximate implicit subspace iteration with alternating directions for LTI system model reduction. Zbl 1212.65258
Zhou, Y.; Sorensen, D. C.
5
2008
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, 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 1122.65119
Klouček, Petr; Sorensen, Danny C.; Wightman, Jennifer L.
8
2007
A symmetry preserving singular value decomposition. Zbl 1124.65042
Shah, 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 1071.65088
Oliveira, A. R. L.; Sorensen, D. C.
38
2005
Passivity preserving model reduction via interpolation of spectral zeros. Zbl 1129.93340
Sorensen, D. C.
32
2005
Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C.
20
2005
On model reduction of structured systems. Zbl 1103.93018
Sorensen, Danny C.; Antoulas, Athanasios C.
6
2005
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C.
59
2003
Direct methods for matrix Sylvester and Lyapunov equations. Zbl 1028.65039
Sorensen, Danny C.; Zhou, Yunkai
21
2003
On the decay rate of Hankel singular values and related issues. Zbl 1003.93024
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y.
70
2002
The Sylvester equation and approximate balanced reduction. Zbl 1023.93012
Sorensen, D. C.; Antoulas, A. C.
57
2002
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
28
2002
A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems. Zbl 1006.86004
Rojas, Marielba; Sorensen, Danny C.
28
2002
A survey of model reduction methods for large-scale systems. Zbl 1048.93014
Antoulas, A. C.; Sorensen, D. C.; Gugercin, S.
96
2001
Approximation of large-scale dynamical systems: An overview. Zbl 1024.93008
Antoulas, Athanasios C.; Sorensen, Dan C.
35
2001
Lyapunov, Lanczos, and inertia. Zbl 0997.65065
Antoulas, A. C.; Sorensen, D. C.
2
2001
A new matrix-free algorithm for the large-scale trust-region subproblem. Zbl 0994.65067
Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C.
50
2000
LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D.
483
1999
ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021
Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
507
1998
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, 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 0918.65023
Sorensen, D. C.; Yang, C.
10
1998
Truncated \(QZ\) methods for large scale generalized eigenvalue problems. Zbl 0915.65028
Sorensen, D. C.
2
1998
Minimization of a large-scale quadratic function subject to a spherical constraint. Zbl 0878.65044
Sorensen, D. C.
36
1997
Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Zbl 0865.65019
Sorensen, Danny C.
22
1997
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
122
1996
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P.
43
1996
P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. Zbl 0886.65034
Maschhoff, K. J.; Sorensen, D. C.
16
1996
On some modifications of the Lanczos algorithm and the relation with Padé approximations. Zbl 1075.93506
Gallivan, K.; Grimme, E.; Sorensen, D.; Van Dooren, P.
3
1996
LAPACK user’s guide. 2nd ed. Zbl 0843.65018
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D.
128
1995
Implicitly restarted Arnoldi/Lanczos methods and large scale SVD applications. Zbl 0826.65036
Sorensen, D. C.
6
1995
Formulation and solution of the nonlinear, damped eigenvalue problem for skeletal systems. Zbl 0848.73039
Smith, H. A.; Singh, R. K.; Sorensen, D. C.
3
1995
Krylov methods for the incompressible Navier-Stokes equations. Zbl 0792.76062
Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C.
71
1994
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
47
1994
A parallel algorithm for computing the singular value decomposition of a matrix. Zbl 0797.65037
Jessup, E. R.; Sorensen, Danny C.
8
1994
Corrigendum: Algorithm 730. An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0894.65017
Ammar, G. S.; Reichel, L.; Sorensen, D. C.
6
1994
A Lanczos-based technique for exact vibration analysis of skeletal structures. Zbl 0775.73152
Smith, H. A.; Sorensen, Danny C.; Singh, R. K.
3
1993
Implicit application of polynomial filters in a \(k\)-step Arnoldi method. Zbl 0763.65025
Sorensen, Danny C.
253
1992
An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0892.65025
Ammar, G. S.; Reichel, L.; Sorensen, D. C.
15
1992
On the orthogonality of eigenvectors computed by divide-and-conquer techniques. Zbl 0743.65039
Sorensen, Danny C.; Tang, Ping Tak Peter
15
1991
Solving linear systems on vector and shared memory computers. Zbl 0770.65009
Dongarra, 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 0679.65025
Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J.
16
1989
Programming methodology and performance issues for advanced computer architectures. Zbl 0656.68035
Dongarra, Jack J.; Sorensen, Danny C.; Connolly, Kathryn; Patterson, Jim
1
1988
A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033
Dongarra, Jack J.; Sorensen, Danny C.
27
1987
Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027
Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C.
7
1986
Linear algebra on high performance computers. Zbl 0628.65016
Dongarra, Jack J.; Sorensen, Danny C.
4
1986
A pipelined Givens method for computing the QR factorization of a sparse matrix. Zbl 0587.65018
Heath, M. T.; Sorensen, D. C.
2
1986
Analysis of pairwise pivoting in Gaussian elimination. Zbl 0551.65014
Sorensen, Danny C.
10
1985
A note on the computation of an orthonormal basis for the null space of a matrix. Zbl 0539.65020
Coleman, Thomas F.; Sorensen, Danny C.
15
1984
Newton’s method. Zbl 0608.65037
Moré, Jorge J.; Sorensen, Danny C.
13
1984
Buffering for vector performance on a pipelined MIMD machine. Zbl 0547.65036
Sorensen, D. C.
2
1984
Computing a trust region step. Zbl 0551.65042
Moré, Jorge J.; Sorensen, D. C.
295
1983
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
4
1983
Newton’s method with a model trust region modification. Zbl 0483.65039
Sorensen, D. C.
127
1982
Collinear scaling and sequential estimation in sparse optimization algorithms. Zbl 0508.49028
Sorensen, D. C.
8
1982
Trust region methods for unconstrained minimization. Zbl 0571.90081
Sorensen, D. C.
3
1982
The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization. Zbl 0428.65040
Sorensen, D. C.
37
1980
On the use of directions of negative curvature in a modified Newton method. Zbl 0394.90093
More, Jorge J.; Sorensen, Danny C.
46
1979
Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007
Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C.
82
1978
all top 5

Cited by 4,612 Authors

73 Benner, Peter
34 Reichel, Lothar
27 Gugercin, Serkan
21 Kressner, Daniel
21 Willcox, Karen E.
19 Beattie, Christopher A.
18 Mehrmann, Volker
17 Navon, Ionel Michael
17 Schmid, Peter Joseph
17 Zhu, Detong
16 Hesthaven, Jan S.
16 Simoncini, Valeria
15 Dongarra, Jack J.
15 Meerbergen, Karl
15 Zhang, Lei-Hong
14 Carlberg, Kevin T.
14 Manzoni, Andrea
14 Quintana-Ortí, Enrique S.
14 Sipp, Denis
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 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 Farhat, Charbel H.
11 Haasdonk, Bernard
11 Quarteroni, Alfio M.
11 Sun, Wenyu
10 Bergamaschi, Luca
10 Dehghan Takht Fooladi, Mehdi
10 Golub, Gene Howard
10 Heinkenschloss, Matthias
10 Pain, Christopher C.
10 Van Dooren, Paul M.
10 Wei, Yimin
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 Chomaz, Jean-Marc
9 Feng, Lihong
9 Glowinski, Roland
9 Heltai, Luca
9 Hochstenbach, Michiel E.
9 Kürschner, Patrick
9 Ni, Qin
9 Qu, Shaojian
9 Shen, Chungen
9 Xia, Yong
8 Abbaszadeh, Mostafa
8 Ariyawansa, K. A.
8 Bangerth, Wolfgang
8 Chaturantabut, Saifon
8 Embree, Mark
8 Faßbender, Heike
8 Heiland, Jan
8 Heister, Timo
8 Henningson, Dan S.
8 Higham, Nicholas J.
8 Himpe, Christian
8 Iliescu, Traian
8 Jiang, Yaolin
8 Kronbichler, Martin
8 Kutz, J. Nathan
8 Lohmann, Boris
8 Lu, Linzhang
8 Lukšan, Ladislav
8 Maier, Matthias Sebastian
8 Marquet, Olivier
8 Robinet, Jean-Christophe
8 Turcksin, Bruno
8 Wang, Qingwen
7 Alonso, Pedro
7 Arndt, Daniel
7 Baglama, James
7 Bentbib, Abdeslem Hafid
7 Bujanović, Zvonimir
7 Caboussat, Alexandre
7 Choi, Youngsoo
7 Demmel, James Weldon
7 Druskin, Vladimir
...and 4,512 more Authors
all top 5

Cited in 357 Serials

179 Journal of Computational Physics
163 Journal of Computational and Applied Mathematics
133 Linear Algebra and its Applications
128 SIAM Journal on Scientific Computing
123 Computer Methods in Applied Mechanics and Engineering
104 Journal of Fluid Mechanics
80 Applied Mathematics and Computation
67 Computers & Mathematics with Applications
60 International Journal for Numerical Methods in Engineering
60 SIAM Journal on Matrix Analysis and Applications
59 Numerical Linear Algebra with Applications
54 Numerical Algorithms
54 Mathematical Programming. Series A. Series B
52 Applied Numerical Mathematics
51 Computational Optimization and Applications
49 Journal of Scientific Computing
48 Computer Physics Communications
46 Optimization Methods & Software
41 Numerische Mathematik
40 BIT
37 Computers and Fluids
37 Journal of Optimization Theory and Applications
35 Advances in Computational Mathematics
30 Systems & Control Letters
27 Automatica
27 SIAM Journal on Optimization
27 Physics of Fluids
26 Mathematics of Computation
26 Computational Mechanics
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
13 Applied Mathematics Letters
13 Computational Geosciences
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 Mathematical Programming
11 Japan Journal of Industrial and Applied Mathematics
11 European Journal of Mechanics. B. Fluids
10 Linear and Multilinear Algebra
10 Applied Mathematical Modelling
10 Mathematical Problems in Engineering
10 SIAM/ASA Journal on Uncertainty Quantification
9 Numerical Functional Analysis and Optimization
9 SIAM Journal on Numerical Analysis
9 Annals of Operations Research
9 Computational and Applied Mathematics
9 Archives of Computational Methods in Engineering
9 Journal of Numerical Mathematics
9 Optimization Letters
8 Journal of the Franklin Institute
8 Physica D
8 International Journal of Computational Fluid Dynamics
8 Multiscale Modeling & Simulation
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 Acta Numerica
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 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 and Computing
5 GAMM-Mitteilungen
5 SIAM Journal on Imaging Sciences
5 Science China. Mathematics
5 S\(\vec{\text{e}}\)MA Journal
5 SIAM Journal on Mathematics of Data Science
4 Acta Mechanica
...and 257 more Serials
all top 5

Cited in 52 Fields

1,856 Numerical analysis (65-XX)
519 Operations research, mathematical programming (90-XX)
481 Fluid mechanics (76-XX)
374 Linear and multilinear algebra; matrix theory (15-XX)
322 Systems theory; control (93-XX)
313 Partial differential equations (35-XX)
211 Mechanics of deformable solids (74-XX)
167 Computer science (68-XX)
160 Calculus of variations and optimal control; optimization (49-XX)
125 Statistics (62-XX)
104 Optics, electromagnetic theory (78-XX)
88 Dynamical systems and ergodic theory (37-XX)
83 Quantum theory (81-XX)
75 Ordinary differential equations (34-XX)
75 Statistical mechanics, structure of matter (82-XX)
69 Biology and other natural sciences (92-XX)
48 Approximations and expansions (41-XX)
46 Probability theory and stochastic processes (60-XX)
46 Geophysics (86-XX)
44 Classical thermodynamics, heat transfer (80-XX)
35 Operator theory (47-XX)
33 Mechanics of particles and systems (70-XX)
27 Information and communication theory, circuits (94-XX)
19 Combinatorics (05-XX)
17 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)
14 Global analysis, analysis on manifolds (58-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
9 Real functions (26-XX)
7 Potential theory (31-XX)
6 Field theory and polynomials (12-XX)
6 Difference and functional equations (39-XX)
5 History and biography (01-XX)
5 Number theory (11-XX)
5 Algebraic geometry (14-XX)
5 Special functions (33-XX)
5 Differential geometry (53-XX)
5 Astronomy and astrophysics (85-XX)
4 Functional analysis (46-XX)
4 Relativity and gravitational theory (83-XX)
3 General and overarching topics; collections (00-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 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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.