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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: 80 Co-Authors with 78 Joint Publications
3,592 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
2 Yang, Chao
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 4,519 times in 3,484 Documents Cited by Year
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.
613
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.
592
1998
Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169
Chaturantabut, Saifon; Sorensen, Danny C.
532
2010
Computing a trust region step. Zbl 0551.65042
Moré, Jorge J.; Sorensen, D. C.
322
1983
Implicit application of polynomial filters in a \(k\)-step Arnoldi method. Zbl 0763.65025
Sorensen, Danny C.
269
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.
138
1995
Newton’s method with a model trust region modification. Zbl 0483.65039
Sorensen, D. C.
135
1982
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
131
1996
Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004
120
2005
A survey of model reduction methods for large-scale systems. Zbl 1048.93014
Antoulas, A. C.; Sorensen, D. C.; Gugercin, S.
106
2001
Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007
Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C.
91
1978
Krylov methods for the incompressible Navier-Stokes equations. Zbl 0792.76062
Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C.
77
1994
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
76
1998
On the decay rate of Hankel singular values and related issues. Zbl 1003.93024
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y.
72
2002
A state space error estimate for POD-DEIM nonlinear model reduction. Zbl 1237.93035
Chaturantabut, Saifon; Sorensen, Danny C.
64
2012
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C.
63
2003
The Sylvester equation and approximate balanced reduction. Zbl 1023.93012
Sorensen, D. C.; Antoulas, A. C.
61
2002
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
53
2008
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
51
1994
A new matrix-free algorithm for the large-scale trust-region subproblem. Zbl 0994.65067
Rojas, Marielba; Santos, Sandra A.; Sorensen, Danny C.
51
2000
On the use of directions of negative curvature in a modified Newton method. Zbl 0394.90093
More, Jorge J.; Sorensen, Danny C.
49
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.
47
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.
44
2005
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.
40
2011
A posteriori error estimation for DEIM reduced nonlinear dynamical systems. Zbl 1312.65127
Wirtz, D.; Sorensen, D. C.; Haasdonk, B.
38
2014
Minimization of a large-scale quadratic function subject to a spherical constraint. Zbl 0878.65044
Sorensen, D. C.
37
1997
Approximation of large-scale dynamical systems: An overview. Zbl 1024.93008
Antoulas, Athanasios C.; Sorensen, Dan C.
37
2001
The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization. Zbl 0428.65040
Sorensen, D. C.
37
1980
Passivity preserving model reduction via interpolation of spectral zeros. Zbl 1129.93340
Sorensen, D. C.
36
2005
A DEIM induced CUR factorization. Zbl 1382.65121
Sorensen, D. C.; Embree, Mark
34
2016
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
31
2002
A fully parallel algorithm for the symmetric eigenvalue problem. Zbl 0627.65033
Dongarra, Jack J.; Sorensen, Danny C.
30
1987
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
A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems. Zbl 1006.86004
Rojas, Marielba; Sorensen, Danny C.
29
2002
Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Zbl 0865.65019
Sorensen, Danny C.
26
1997
Direct methods for matrix Sylvester and Lyapunov equations. Zbl 1028.65039
Sorensen, Danny C.; Zhou, Yunkai
24
2003
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.
22
2010
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.
20
2013
P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. Zbl 0886.65034
Maschhoff, K. J.; Sorensen, D. C.
17
1996
Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025
Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J.
17
1989
On the orthogonality of eigenvectors computed by divide-and-conquer techniques. Zbl 0743.65039
Sorensen, Danny C.; Tang, Ping Tak Peter
16
1991
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.
16
2014
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.
16
1984
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.
15
1990
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
Newton’s method. Zbl 0608.65037
Moré, Jorge J.; Sorensen, Danny C.
15
1984
Accelerating the LSTRS algorithm. Zbl 1368.65096
Lampe, J.; Rojas, M.; Sorensen, D. C.; Voss, H.
13
2011
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
A parallel algorithm for computing the singular value decomposition of a matrix. Zbl 0797.65037
Jessup, E. R.; Sorensen, Danny C.
9
1994
Collinear scaling and sequential estimation in sparse optimization algorithms. Zbl 0508.49028
Sorensen, D. C.
9
1982
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
Implementation of some concurrent algorithms for matrix factorization. Zbl 0591.65027
Dongarra, J. J.; Sameh, A. H.; Sorensen, D. C.
7
1986
On model reduction of structured systems. Zbl 1103.93018
Sorensen, Danny C.; Antoulas, Athanasios C.
7
2005
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.
7
2008
Implicitly restarted Arnoldi/Lanczos methods and large scale SVD applications. Zbl 0826.65036
Sorensen, D. C.
6
1995
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 quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073
Sorensen, Danny C.; Glowinski, Roland
6
2010
Linear algebra on high performance computers. Zbl 0628.65016
Dongarra, Jack J.; Sorensen, Danny C.
5
1986
Approximate implicit subspace iteration with alternating directions for LTI system model reduction. Zbl 1212.65258
Zhou, Y.; Sorensen, D. C.
5
2008
Formulation and solution of the nonlinear, damped eigenvalue problem for skeletal systems. Zbl 0848.73039
Smith, H. A.; Singh, R. K.; Sorensen, D. C.
4
1995
An algorithmic derivation of the Jordan canonical form. Zbl 0529.15008
Fletcher, R.; Sorensen, D. C.
4
1983
Trust region methods for unconstrained minimization. Zbl 0571.90081
Sorensen, D. C.
4
1982
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C.
4
2008
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
Lyapunov, Lanczos, and inertia. Zbl 0997.65065
Antoulas, A. C.; Sorensen, D. C.
2
2001
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
Buffering for vector performance on a pipelined MIMD machine. Zbl 0547.65036
Sorensen, D. C.
2
1984
A symmetry preserving singular value decomposition. Zbl 1124.65042
Shah, Mili I.; Sorensen, Danny C.
2
2006
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
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
A parameter free ADI-like method for the numerical solution of large scale Lyapunov equations. Zbl 1372.65131
Sorensen, Danny C.
1
2016
A DEIM induced CUR factorization. Zbl 1382.65121
Sorensen, D. C.; Embree, Mark
34
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.
38
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.
16
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.
20
2013
A state space error estimate for POD-DEIM nonlinear model reduction. Zbl 1237.93035
Chaturantabut, Saifon; Sorensen, Danny C.
64
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.
40
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.
532
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.
22
2010
A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073
Sorensen, Danny C.; Glowinski, Roland
6
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
53
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.
7
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
120
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.
44
2005
Passivity preserving model reduction via interpolation of spectral zeros. Zbl 1129.93340
Sorensen, D. C.
36
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.
7
2005
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C.
63
2003
Direct methods for matrix Sylvester and Lyapunov equations. Zbl 1028.65039
Sorensen, Danny C.; Zhou, Yunkai
24
2003
On the decay rate of Hankel singular values and related issues. Zbl 1003.93024
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y.
72
2002
The Sylvester equation and approximate balanced reduction. Zbl 1023.93012
Sorensen, D. C.; Antoulas, A. C.
61
2002
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
31
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.
29
2002
A survey of model reduction methods for large-scale systems. Zbl 1048.93014
Antoulas, A. C.; Sorensen, D. C.; Gugercin, S.
106
2001
Approximation of large-scale dynamical systems: An overview. Zbl 1024.93008
Antoulas, Athanasios C.; Sorensen, Dan C.
37
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.
51
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.
613
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.
592
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.
76
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.
37
1997
Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations. Zbl 0865.65019
Sorensen, Danny C.
26
1997
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
131
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.
47
1996
P_ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures. Zbl 0886.65034
Maschhoff, K. J.; Sorensen, D. C.
17
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.
138
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.
4
1995
Krylov methods for the incompressible Navier-Stokes equations. Zbl 0792.76062
Edwards, W. S.; Tuckerman, L. S.; Friesner, R. A.; Sorensen, Danny C.
77
1994
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
51
1994
A parallel algorithm for computing the singular value decomposition of a matrix. Zbl 0797.65037
Jessup, E. R.; Sorensen, Danny C.
9
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.
269
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
16
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.
15
1990
Block reduction of matrices to condensed forms for eigenvalue computations. Zbl 0679.65025
Dongarra, Jack J.; Sorensen, Danny C.; Hammarling, Sven J.
17
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.
30
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.
5
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.
16
1984
Newton’s method. Zbl 0608.65037
Moré, Jorge J.; Sorensen, Danny C.
15
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.
322
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.
135
1982
Collinear scaling and sequential estimation in sparse optimization algorithms. Zbl 0508.49028
Sorensen, D. C.
9
1982
Trust region methods for unconstrained minimization. Zbl 0571.90081
Sorensen, D. C.
4
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.
49
1979
Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007
Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C.
91
1978
all top 5

Cited by 5,454 Authors

92 Benner, Peter
34 Reichel, Lothar
27 Gugercin, Serkan
23 Willcox, Karen E.
22 Kressner, Daniel
22 Navon, Ionel Michael
21 Hesthaven, Jan S.
21 Manzoni, Andrea
19 Beattie, Christopher A.
19 Mehrmann, Volker
19 Simoncini, Valeria
18 Zhu, Detong
17 Schmid, Peter Joseph
17 Zhang, Lei-Hong
16 Dongarra, Jack J.
16 Meerbergen, Karl
16 Quarteroni, Alfio M.
16 Quintana-Ortí, Enrique S.
16 Sipp, Denis
15 Carlberg, Kevin T.
15 Farhat, Charbel H.
15 Jia, Zhongxiao
15 Li, Rencang
15 Oliveira, Aurelio Ribeiro Leite
15 Peherstorfer, Benjamin
15 Sorensen, Danny C.
15 Stykel, Tatjana
15 Wu, Gang
14 Fang, Fangxin
14 Giani, Stefano
14 Karasözen, Bülent
14 Saak, Jens
13 Antoulas, Athanasios C.
13 Calvetti, Daniela
13 Dehghan Takht Fooladi, Mehdi
13 Feng, Lihong
13 Haasdonk, Bernard
13 Heinkenschloss, Matthias
13 Jbilou, Khalide
13 Lin, Wen-Wei
13 Saad, Yousef
13 Sun, Wenyu
13 Uzunca, Murat
12 Drmač, Zlatko
12 Martínez, José Mario
12 Pain, Christopher C.
12 Pini, Giorgio
12 Rozza, Gianluigi
12 Van Dooren, Paul M.
11 Abbaszadeh, Mostafa
11 Breiten, Tobias
11 Brunton, Steven L.
11 Goyal, Pawan
11 Jiang, Yaolin
11 Wei, Yimin
11 Xia, Yong
10 Baglama, James
10 Bergamaschi, Luca
10 Glowinski, Roland
10 Golub, Gene Howard
10 Heiland, Jan
10 Heltai, Luca
10 Higham, Nicholas J.
10 Hochstenbach, Michiel E.
10 Kürschner, Patrick
10 Yang, Chao
10 Zhou, Yunkai
10 Zlatev, Zahari
9 Abdel-Aziz, Mohammedi R.
9 Aishima, Kensuke
9 Alla, Alessandro
9 Amsallem, David
9 Bai, Zhaojun
9 Bangerth, Wolfgang
9 Caboussat, Alexandre
9 Chaturantabut, Saifon
9 Choi, Youngsoo
9 Chomaz, Jean-Marc
9 Faßbender, Heike
9 Gondzio, Jacek
9 Heister, Timo
9 Henningson, Dan S.
9 Iliescu, Traian
9 Kronbichler, Martin
9 Kutz, J. Nathan
9 Maier, Matthias Sebastian
9 Ni, Qin
9 Qu, Shaojian
9 Shen, Chungen
9 Turcksin, Bruno
8 Ariyawansa, K. A.
8 Arndt, Daniel
8 Embree, Mark
8 Himpe, Christian
8 Lu, Linzhang
8 Lukšan, Ladislav
8 Marquet, Olivier
8 Pelteret, Jean-Paul
8 Quintana-Ortí, Gregorio
8 Robinet, Jean-Christophe
...and 5,354 more Authors
all top 5

Cited in 380 Serials

214 Journal of Computational Physics
174 Journal of Computational and Applied Mathematics
159 SIAM Journal on Scientific Computing
157 Computer Methods in Applied Mechanics and Engineering
141 Linear Algebra and its Applications
121 Journal of Fluid Mechanics
88 Applied Mathematics and Computation
81 Computer Physics Communications
74 Computers & Mathematics with Applications
73 International Journal for Numerical Methods in Engineering
73 SIAM Journal on Matrix Analysis and Applications
64 Journal of Scientific Computing
64 Numerical Algorithms
59 Numerical Linear Algebra with Applications
58 Mathematical Programming. Series A. Series B
57 Computational Optimization and Applications
55 Applied Numerical Mathematics
48 Optimization Methods & Software
45 Numerische Mathematik
42 Computers and Fluids
41 BIT
41 Journal of Optimization Theory and Applications
41 Advances in Computational Mathematics
32 SIAM Journal on Optimization
31 Systems & Control Letters
28 Automatica
28 Computational Mechanics
27 Mathematics of Computation
27 Physics of Fluids
21 International Journal for Numerical Methods in Fluids
21 Journal of Global Optimization
19 Mathematics and Computers in Simulation
19 Engineering Analysis with Boundary Elements
17 European Journal of Operational Research
16 Computing
16 Mathematical and Computer Modelling
16 Mathematical and Computer Modelling of Dynamical Systems
15 ACM Transactions on Mathematical Software
15 International Journal of Computer Mathematics
14 Optimization
14 Applied Mathematics Letters
14 Applied Mathematical Modelling
14 Computational Geosciences
13 Computational and Applied Mathematics
13 Acta Numerica
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 International Journal of Control
12 Journal of the Franklin Institute
12 Physica D
11 Linear and Multilinear Algebra
11 Mathematical Programming
11 Japan Journal of Industrial and Applied Mathematics
11 ETNA. Electronic Transactions on Numerical Analysis
11 European Journal of Mechanics. B. Fluids
11 Journal of Numerical Mathematics
11 Optimization Letters
11 SIAM/ASA Journal on Uncertainty Quantification
10 Numerical Functional Analysis and Optimization
10 SIAM Journal on Numerical Analysis
10 Annals of Operations Research
10 Mathematical Problems in Engineering
10 Multiscale Modeling & Simulation
9 Calcolo
9 International Journal of Computational Fluid Dynamics
9 Archives of Computational Methods in Engineering
9 Journal of Machine Learning Research (JMLR)
9 GAMM-Mitteilungen
9 Communications in Computational Physics
9 Mathematical Programming Computation
9 Numerical Algebra, Control and Optimization
8 SIAM Journal on Control and Optimization
8 Computational Statistics and Data Analysis
7 Inverse Problems
7 Parallel Computing
7 MCSS. Mathematics of Control, Signals, and Systems
7 SIAM Review
7 Communications in Numerical Methods in Engineering
7 Chaos
7 European Journal of Mechanics. A. Solids
7 SIAM Journal on Applied Dynamical Systems
7 SIAM Journal on Imaging Sciences
7 Statistics and Computing
7 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 Mathematical Biosciences
6 Machine Learning
6 Journal of Nonlinear Science
6 Journal of Mathematical Chemistry
6 European Journal of Control
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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 Numerical Methods for Partial Differential Equations
5 Annals of Physics
5 Computing and Visualization in Science
...and 280 more Serials
all top 5

Cited in 54 Fields

2,162 Numerical analysis (65-XX)
579 Operations research, mathematical programming (90-XX)
568 Fluid mechanics (76-XX)
427 Linear and multilinear algebra; matrix theory (15-XX)
372 Partial differential equations (35-XX)
367 Systems theory; control (93-XX)
246 Mechanics of deformable solids (74-XX)
206 Computer science (68-XX)
176 Calculus of variations and optimal control; optimization (49-XX)
153 Statistics (62-XX)
120 Optics, electromagnetic theory (78-XX)
109 Quantum theory (81-XX)
102 Dynamical systems and ergodic theory (37-XX)
99 Statistical mechanics, structure of matter (82-XX)
85 Ordinary differential equations (34-XX)
85 Biology and other natural sciences (92-XX)
57 Approximations and expansions (41-XX)
52 Probability theory and stochastic processes (60-XX)
50 Geophysics (86-XX)
47 Classical thermodynamics, heat transfer (80-XX)
44 Operator theory (47-XX)
41 Mechanics of particles and systems (70-XX)
35 Information and communication theory, circuits (94-XX)
27 Combinatorics (05-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Functions of a complex variable (30-XX)
15 Integral equations (45-XX)
14 Real functions (26-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 Differential geometry (53-XX)
8 Algebraic geometry (14-XX)
8 Difference and functional equations (39-XX)
7 Potential theory (31-XX)
7 Functional analysis (46-XX)
7 Astronomy and astrophysics (85-XX)
6 Field theory and polynomials (12-XX)
6 Relativity and gravitational theory (83-XX)
5 Number theory (11-XX)
5 Special functions (33-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
3 Convex and discrete geometry (52-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-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 Geometry (51-XX)
1 Algebraic topology (55-XX)

Citations by Year

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