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Author ID: nocedal.jorge Recent zbMATH articles by "Nocedal, Jorge"
Published as: Nocedal, Jorge; Nocedal, J.; Nocedal, Jorge M.
Homepage: http://users.iems.northwestern.edu/~nocedal/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 91 Publications since 1979, including 2 Books
Co-Authors: 57 Co-Authors with 84 Joint Publications
1,100 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 7,188 times in 5,426 Documents Cited by Year
Numerical optimization. 2nd ed. Zbl 1104.65059
Nocedal, Jorge; Wright, Stephen J.
2006
Numerical optimization. Zbl 0930.65067
Nocedal, Jorge; Wright, Stephen J.
1999
On the limited memory BFGS method for large scale optimization. Zbl 0696.90048
Liu, Dong C.; Nocedal, Jorge
477
1989
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
436
1995
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
343
1992
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
234
1980
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
198
2018
Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057
Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge
161
1997
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
146
1999
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
141
1994
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
138
1989
KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
111
2006
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
110
1987
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
99
2000
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
90
1998
On the solution of equality constrained quadratic programming problems arising in optimization. Zbl 0999.65050
Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge
73
2001
An interior algorithm for nonlinear optimization that combines line search and trust region steps. Zbl 1134.90053
Waltz, R. A.; Morales, J. L.; Nocedal, J.; Orban, D.
73
2006
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
69
1985
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
64
1987
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
57
1992
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
56
2016
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
53
2006
Sample size selection in optimization methods for machine learning. Zbl 1252.49044
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen
51
2012
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
44
2000
On the use of stochastic Hessian information in optimization methods for machine learning. Zbl 1245.65062
Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge
38
2011
A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. Zbl 0756.65091
Nash, Stephen G.; Nocedal, Jorge
37
1991
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
30
1996
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
30
1992
Wedge trust region method for derivative free optimization. Zbl 1049.90134
Marazzi, Marcelo; Nocedal, Jorge
29
2002
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
28
2016
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
27
1998
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
26
2008
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
26
2010
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
25
2004
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
25
2012
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
24
2008
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
24
2002
A family of second-order methods for convex \(\ell _1\)-regularized optimization. Zbl 1350.49046
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen
23
2016
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
22
2011
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
21
1993
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
21
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
20
2009
An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. Zbl 1146.90513
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A.
19
2004
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
18
1998
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
16
1995
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
15
2010
An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071
Byrd, Richard H.; Nocedal, Jorge
15
1991
On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A.
15
2005
On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge
14
2011
A conic algorithm for optimization. Zbl 0561.65041
Gourgeon, Hervé; Nocedal, Jorge
13
1985
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
12
2019
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
12
2012
A second-order method for convex \(\ell_1\)-regularized optimization with active-set prediction. Zbl 1341.49039
Keskar, N.; Nocedal, J.; Öztoprak, F.; Wächter, A.
11
2016
Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
10
2003
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
10
2009
Subspace accelerated matrix splitting algorithms for asymmetric and symmetric linear complementarity problems. Zbl 1291.49023
Robinson, Daniel P.; Feng, Liming; Nocedal, Jorge M.; Pang, Jong-Shi
10
2013
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
10
2018
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
9
2008
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
9
2002
Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100
Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou
8
1996
Assessing the potential of interior methods for nonlinear optimization. Zbl 1062.65063
Morales, Joseé Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre
8
2003
The use of linear programming for the solution of sparse sets of nonlinear equations. Zbl 0636.65053
Duff, I. S.; Nocedal, J.; Reid, J. K.
8
1987
An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097
Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H.
8
2015
Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077
Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge
7
2019
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
7
2008
Data assimilation in weather forecasting: a case study in PDE-constrained optimization. Zbl 1400.90325
Fisher, Mike; Nocedal, Jorge; Trémolet, Yannick; Wright, Stephen J.
7
2009
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
7
1997
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
7
2004
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
7
2014
Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036
Lalee, Marucha; Nocedal, Jorge
6
1993
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
6
2020
Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David
5
2000
Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. Zbl 1070.65538
Morales, José Luis; Nocedal, Jorge
5
2001
Conjugate direction methods with variable storage. Zbl 0482.90078
Nazareth, Larry; Nocedal, Jorge
5
1982
Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041
Bjorstad, Petter; Nocedal, Jorge
4
1979
The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068
Gould, Nicholas I. M.; Nocedal, Jorge
3
1998
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
3
1986
The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081
Nocedal, Jorge
2
1990
Analysis of the BFGS method with errors. Zbl 1435.90149
Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge
2
2020
A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117
Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge
1
2022
Feasibility control in nonlinear optimization. Zbl 0978.65050
Marazzi, Marcelo; Nocedal, Jorge
1
2001
Algorithms with conic termination for nonlinear optimization. Zbl 0663.65062
Liu, Dong C.; Nocedal, Jorge
1
1989
On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen
1
2013
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
1
2007
A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117
Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge
1
2022
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
6
2020
Analysis of the BFGS method with errors. Zbl 1435.90149
Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge
2
2020
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
12
2019
Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077
Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge
7
2019
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
198
2018
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
10
2018
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
56
2016
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
28
2016
A family of second-order methods for convex \(\ell _1\)-regularized optimization. Zbl 1350.49046
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen
23
2016
A second-order method for convex \(\ell_1\)-regularized optimization with active-set prediction. Zbl 1341.49039
Keskar, N.; Nocedal, J.; Öztoprak, F.; Wächter, A.
11
2016
An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097
Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H.
8
2015
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
7
2014
Subspace accelerated matrix splitting algorithms for asymmetric and symmetric linear complementarity problems. Zbl 1291.49023
Robinson, Daniel P.; Feng, Liming; Nocedal, Jorge M.; Pang, Jong-Shi
10
2013
On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen
1
2013
Sample size selection in optimization methods for machine learning. Zbl 1252.49044
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen
51
2012
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
25
2012
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
12
2012
On the use of stochastic Hessian information in optimization methods for machine learning. Zbl 1245.65062
Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge
38
2011
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
22
2011
On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge
14
2011
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
26
2010
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
15
2010
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
21
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
20
2009
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
10
2009
Data assimilation in weather forecasting: a case study in PDE-constrained optimization. Zbl 1400.90325
Fisher, Mike; Nocedal, Jorge; Trémolet, Yannick; Wright, Stephen J.
7
2009
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
26
2008
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
24
2008
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
9
2008
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
7
2008
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
1
2007
Numerical optimization. 2nd ed. Zbl 1104.65059
Nocedal, Jorge; Wright, Stephen J.
2006
KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
111
2006
An interior algorithm for nonlinear optimization that combines line search and trust region steps. Zbl 1134.90053
Waltz, R. A.; Morales, J. L.; Nocedal, J.; Orban, D.
73
2006
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
53
2006
On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A.
15
2005
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
25
2004
An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. Zbl 1146.90513
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A.
19
2004
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
7
2004
Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
10
2003
Assessing the potential of interior methods for nonlinear optimization. Zbl 1062.65063
Morales, Joseé Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre
8
2003
Wedge trust region method for derivative free optimization. Zbl 1049.90134
Marazzi, Marcelo; Nocedal, Jorge
29
2002
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
24
2002
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
9
2002
On the solution of equality constrained quadratic programming problems arising in optimization. Zbl 0999.65050
Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge
73
2001
Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. Zbl 1070.65538
Morales, José Luis; Nocedal, Jorge
5
2001
Feasibility control in nonlinear optimization. Zbl 0978.65050
Marazzi, Marcelo; Nocedal, Jorge
1
2001
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
99
2000
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
44
2000
Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David
5
2000
Numerical optimization. Zbl 0930.65067
Nocedal, Jorge; Wright, Stephen J.
1999
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
146
1999
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
90
1998
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
27
1998
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
18
1998
The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068
Gould, Nicholas I. M.; Nocedal, Jorge
3
1998
Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057
Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge
161
1997
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
7
1997
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
30
1996
Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100
Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou
8
1996
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
436
1995
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
16
1995
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
141
1994
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
21
1993
Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036
Lalee, Marucha; Nocedal, Jorge
6
1993
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
343
1992
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
57
1992
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
30
1992
A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. Zbl 0756.65091
Nash, Stephen G.; Nocedal, Jorge
37
1991
An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071
Byrd, Richard H.; Nocedal, Jorge
15
1991
The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081
Nocedal, Jorge
2
1990
On the limited memory BFGS method for large scale optimization. Zbl 0696.90048
Liu, Dong C.; Nocedal, Jorge
477
1989
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
138
1989
Algorithms with conic termination for nonlinear optimization. Zbl 0663.65062
Liu, Dong C.; Nocedal, Jorge
1
1989
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
110
1987
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
64
1987
The use of linear programming for the solution of sparse sets of nonlinear equations. Zbl 0636.65053
Duff, I. S.; Nocedal, J.; Reid, J. K.
8
1987
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
3
1986
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
69
1985
A conic algorithm for optimization. Zbl 0561.65041
Gourgeon, Hervé; Nocedal, Jorge
13
1985
Conjugate direction methods with variable storage. Zbl 0482.90078
Nazareth, Larry; Nocedal, Jorge
5
1982
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
234
1980
Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041
Bjorstad, Petter; Nocedal, Jorge
4
1979
all top 5

Cited by 8,670 Authors

63 Zhu, Detong
38 Wei, Zengxin
37 Yuan, Gonglin
36 Babaie-Kafaki, Saman
31 Dai, Yu-Hong
31 Nocedal, Jorge
30 Andrei, Neculai
28 Martínez, José Mario
28 Teo, Kok Lay
26 Shi, Zhenjun
24 Curtis, Frank E.
24 Kanzow, Christian
24 Zhang, Lei-Hong
23 Li, Donghui
23 Yuan, Ya-xiang
21 Qi, Liqun
19 Byrd, Richard H.
19 Kimiaei, Morteza
19 Leong, Wah June
19 Liu, Chongyang
19 Robinson, Daniel P.
19 Shen, Chungen
19 Toint, Philippe L.
18 Al-Baali, Mehiddin
18 Boyd, Stephen Poythress
18 Júdice, Joaquim João
18 Loxton, Ryan Christopher
17 Andreani, Roberto
17 Haber, Eldad
17 Lukšan, Ladislav
17 Ma, Changfeng
16 Gratton, Serge
16 Gu, Chao
15 Amini, Keyvan
15 Ghanbari, Reza
15 Xiao, Yunhai
14 Birgin, Ernesto G.
14 Dong, Xiaoliang
14 Mahdavi-Amiri, Nezam
14 Ni, Qin
14 Shen, Jie
14 Zhou, Weijun
13 Ahookhosh, Masoud
13 Bellavia, Stefania
13 Marra, Giampiero
13 Ou, Yigui
13 Sun, Wenyu
13 Vicente, Luis Nunes
12 Ghattas, Omar N.
12 Goldfarb, Donald
12 Gong, Zhaohua
12 Izmailov, Alekseĭ F.
12 Karniadakis, George Em
12 Leyffer, Sven
12 Liu, Hongwei
12 Luo, Xinlong
12 Morini, Benedetta
12 Pu, Dingguo
12 Ruthotto, Lars
12 Sandu, Adrian
12 Strekalovskiĭ, Aleksandr Sergeevich
12 Wächter, Andreas
12 Wang, Michael Yu
12 Wen, Zaiwen
12 Yao, Shengwei
11 Aminifard, Zohre
11 Biegler, Lorenz T.
11 Biros, George
11 di Serafino, Daniela
11 Diehl, Moritz Mathias
11 Fasano, Giovanni
11 Fukushima, Masao
11 Kunisch, Karl
11 Landi, Germana
11 Marcia, Roummel F.
11 Navon, Ionel Michael
11 Solodov, Mikhail V.
11 Volkwein, Stefan
11 Xia, Qi
10 Anitescu, Mihai
10 Armand, Paul
10 Bai, Zhengjian
10 Borzì, Alfio
10 Cheng, Wanyou
10 Chung, Matthias
10 Cribari-Neto, Francisco
10 Dai, Zhifeng
10 Feng, Enmin
10 Krejić, Nataša
10 Li, Chong
10 Lucidi, Stefano
10 Orban, Dominique
10 Peyghami, Mohammad Reza
10 Scheinberg, Katya
10 Schoen, Fabio
10 Shashkov, Mikhail J.
10 Shi, Tielin
10 Vlček, Jan
10 Walther, Andrea
10 Wan, Zhong
...and 8,570 more Authors
all top 5

Cited in 505 Serials

248 Computational Optimization and Applications
204 Journal of Computational Physics
194 Journal of Optimization Theory and Applications
181 Journal of Computational and Applied Mathematics
176 Optimization Methods & Software
170 Computer Methods in Applied Mechanics and Engineering
167 Applied Mathematics and Computation
156 Mathematical Programming. Series A. Series B
146 SIAM Journal on Optimization
102 Numerical Algorithms
92 SIAM Journal on Scientific Computing
83 Journal of Global Optimization
77 European Journal of Operational Research
70 Automatica
69 Optimization and Engineering
64 Optimization Letters
62 Optimization
59 Journal of Scientific Computing
57 Computers & Mathematics with Applications
55 Applied Numerical Mathematics
53 Computational Statistics and Data Analysis
51 Mathematical Problems in Engineering
49 International Journal of Computer Mathematics
46 Applied Mathematical Modelling
44 Computational and Applied Mathematics
43 SIAM Journal on Imaging Sciences
41 Computers and Fluids
41 Linear Algebra and its Applications
41 Computational Geosciences
38 Machine Learning
37 Computational Mechanics
36 Journal of Machine Learning Research (JMLR)
32 SIAM Journal on Matrix Analysis and Applications
30 Inverse Problems
30 International Journal for Numerical Methods in Engineering
30 Journal of Mathematical Imaging and Vision
29 Numerical Functional Analysis and Optimization
29 Statistics and Computing
28 Journal of Applied Mathematics and Computing
28 Journal of Industrial and Management Optimization
27 Journal of Applied Statistics
27 Inverse Problems in Science and Engineering
26 Computers & Operations Research
25 Annals of Operations Research
24 Journal of Inequalities and Applications
24 Structural and Multidisciplinary Optimization
24 Mathematical Programming Computation
23 Journal of Statistical Computation and Simulation
22 SIAM Journal on Control and Optimization
22 International Journal of Computer Vision
21 International Journal of Control
21 Mathematics of Computation
21 Mathematics and Computers in Simulation
21 SIAM/ASA Journal on Uncertainty Quantification
20 Numerical Linear Algebra with Applications
19 Journal of Fluid Mechanics
19 The Annals of Applied Statistics
18 Calcolo
18 Numerische Mathematik
18 Computational Statistics
18 Mathematical Methods of Operations Research
17 Computer Physics Communications
17 BIT
17 Neural Computation
17 Abstract and Applied Analysis
17 Journal of the Operations Research Society of China
16 SIAM Journal on Numerical Analysis
16 Communications in Statistics. Simulation and Computation
16 Communications in Statistics. Theory and Methods
16 Quantitative Finance
16 Inverse Problems and Imaging
15 Psychometrika
15 Information Sciences
15 Advances in Computational Mathematics
15 Journal of Systems Science and Complexity
15 Journal of Applied Mathematics
14 International Journal for Numerical Methods in Fluids
14 Computing
14 Journal of Econometrics
14 Computer Aided Geometric Design
14 Mathematical Geosciences
14 Journal of Computational and Graphical Statistics
13 Acta Mathematicae Applicatae Sinica. English Series
13 SIAM Review
13 Communications in Computational Physics
13 Science China. Mathematics
13 Numerical Algebra, Control and Optimization
12 Applied Mathematics and Optimization
12 Operations Research Letters
12 Asia-Pacific Journal of Operational Research
12 Neural Networks
12 Applied Mathematics. Series B (English Edition)
12 Applied and Computational Harmonic Analysis
12 Journal of Inverse and Ill-Posed Problems
11 Journal of the Franklin Institute
11 Journal of Mathematical Analysis and Applications
11 Bulletin of Mathematical Biology
11 Journal of Multivariate Analysis
11 Operations Research
11 Chaos
...and 405 more Serials
all top 5

Cited in 54 Fields

2,722 Operations research, mathematical programming (90-XX)
2,451 Numerical analysis (65-XX)
846 Calculus of variations and optimal control; optimization (49-XX)
694 Statistics (62-XX)
533 Computer science (68-XX)
352 Mechanics of deformable solids (74-XX)
327 Systems theory; control (93-XX)
324 Fluid mechanics (76-XX)
322 Partial differential equations (35-XX)
262 Biology and other natural sciences (92-XX)
178 Information and communication theory, circuits (94-XX)
169 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
153 Linear and multilinear algebra; matrix theory (15-XX)
144 Probability theory and stochastic processes (60-XX)
126 Geophysics (86-XX)
72 Ordinary differential equations (34-XX)
68 Statistical mechanics, structure of matter (82-XX)
61 Dynamical systems and ergodic theory (37-XX)
54 Operator theory (47-XX)
53 Optics, electromagnetic theory (78-XX)
42 Mechanics of particles and systems (70-XX)
35 Quantum theory (81-XX)
32 Approximations and expansions (41-XX)
32 Classical thermodynamics, heat transfer (80-XX)
27 Differential geometry (53-XX)
25 Combinatorics (05-XX)
25 Global analysis, analysis on manifolds (58-XX)
18 Convex and discrete geometry (52-XX)
15 Real functions (26-XX)
15 Integral equations (45-XX)
15 Functional analysis (46-XX)
10 Algebraic geometry (14-XX)
9 Measure and integration (28-XX)
8 Special functions (33-XX)
7 Astronomy and astrophysics (85-XX)
6 Number theory (11-XX)
6 Geometry (51-XX)
6 Relativity and gravitational theory (83-XX)
5 General and overarching topics; collections (00-XX)
5 Mathematical logic and foundations (03-XX)
5 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Integral transforms, operational calculus (44-XX)
4 Manifolds and cell complexes (57-XX)
4 Mathematics education (97-XX)
3 Group theory and generalizations (20-XX)
3 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 General topology (54-XX)
1  (04-XX)
1 Nonassociative rings and algebras (17-XX)

Citations by Year

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