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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/
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Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 9,643 times in 7,237 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
638
1989
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
550
1995
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
397
1992
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
354
2018
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
294
1980
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
214
1997
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
185
1999
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
159
1994
KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
155
2006
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
151
1989
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
128
2000
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
125
1987
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
99
1998
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.
93
2006
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
80
2016
On the solution of equality constrained quadratic programming problems arising in optimization. Zbl 0999.65050
Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge
79
2001
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
71
1985
Sample size selection in optimization methods for machine learning. Zbl 1252.49044
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen
70
2012
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
69
1987
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
62
1992
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
59
2006
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
51
2011
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
46
2000
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
41
2016
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
40
1991
Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077
Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge
37
2019
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
35
2010
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
34
1996
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
34
2011
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
33
2008
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
32
1992
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
31
2012
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
30
1998
Wedge trust region method for derivative free optimization. Zbl 1049.90134
Marazzi, Marcelo; Nocedal, Jorge
29
2002
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
28
2008
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
27
2002
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
27
2004
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
27
2016
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
26
2009
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
26
2018
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
25
2020
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
24
1998
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.
24
2004
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
24
2009
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
23
2019
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
22
1993
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
20
1995
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
18
2010
On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061
Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A.
17
2005
An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071
Byrd, Richard H.; Nocedal, Jorge
15
1991
On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge
15
2011
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.
15
2016
A conic algorithm for optimization. Zbl 0561.65041
Gourgeon, Hervé; Nocedal, Jorge
13
1985
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
13
2012
An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097
Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H.
11
2015
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
Assessing the potential of interior methods for nonlinear optimization. Zbl 1062.65063
Morales, José Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre
10
2003
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
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
9
2002
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
9
1997
Data assimilation in weather forecasting: a case study in PDE-constrained optimization. Zbl 1400.90325
Fisher, Mike; Nocedal, Jorge; Trémolet, Yannick; Wright, Stephen J.
9
2009
Analysis of the BFGS method with errors. Zbl 1435.90149
Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge
9
2020
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
9
2014
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
9
2008
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
9
2008
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
Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100
Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou
8
1996
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
7
2004
Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036
Lalee, Marucha; Nocedal, Jorge
6
1993
Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David
6
2000
The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068
Gould, Nicholas I. M.; Nocedal, Jorge
6
1998
A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117
Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge
6
2022
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
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
4
1986
On the numerical performance of finite-difference-based methods for derivative-free optimization. Zbl 1515.90134
Shi, Hao-Jun Michael; Qiming Xuan, Melody; Oztoprak, Figen; Nocedal, Jorge
4
2023
The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081
Nocedal, Jorge
3
1990
Adaptive finite-difference interval estimation for noisy derivative-free optimization. Zbl 1492.90198
Shi, Hao-Jun Michael; Xie, Yuchen; Xuan, Melody Qiming; Nocedal, Jorge
3
2022
Constrained optimization in the presence of noise. Zbl 1522.90269
Oztoprak, Figen; Byrd, Richard; Nocedal, Jorge
2
2023
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
Algorithms with conic termination for nonlinear optimization. Zbl 0663.65062
Liu, Dong C.; Nocedal, Jorge
1
1989
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
1
2007
Solving large nonlinear systems of equations arising in mechanics. Zbl 0473.65025
Nocedal, Jorge
1
1982
Feasibility control in nonlinear optimization. Zbl 0978.65050
Marazzi, Marcelo; Nocedal, Jorge
1
2001
A trust region method for noisy unconstrained optimization. Zbl 1526.65023
Sun, Shigeng; Nocedal, Jorge
1
2023
On the numerical performance of finite-difference-based methods for derivative-free optimization. Zbl 1515.90134
Shi, Hao-Jun Michael; Qiming Xuan, Melody; Oztoprak, Figen; Nocedal, Jorge
4
2023
Constrained optimization in the presence of noise. Zbl 1522.90269
Oztoprak, Figen; Byrd, Richard; Nocedal, Jorge
2
2023
A trust region method for noisy unconstrained optimization. Zbl 1526.65023
Sun, Shigeng; Nocedal, Jorge
1
2023
A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117
Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge
6
2022
Adaptive finite-difference interval estimation for noisy derivative-free optimization. Zbl 1492.90198
Shi, Hao-Jun Michael; Xie, Yuchen; Xuan, Melody Qiming; Nocedal, Jorge
3
2022
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
25
2020
Analysis of the BFGS method with errors. Zbl 1435.90149
Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge
9
2020
Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077
Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge
37
2019
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
23
2019
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
354
2018
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
26
2018
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
80
2016
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
41
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
27
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.
15
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.
11
2015
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
9
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
70
2012
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
31
2012
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
13
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
51
2011
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
34
2011
On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge
15
2011
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
35
2010
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
18
2010
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
26
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
24
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.
9
2009
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
33
2008
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
28
2008
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
9
2008
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
9
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.
155
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.
93
2006
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
59
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.
17
2005
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
27
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.
24
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, José Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre
10
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
27
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
79
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
128
2000
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
46
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
6
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
185
1999
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
99
1998
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
30
1998
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
24
1998
The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068
Gould, Nicholas I. M.; Nocedal, Jorge
6
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
214
1997
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
9
1997
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
34
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
550
1995
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
20
1995
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
159
1994
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
22
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
397
1992
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
62
1992
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
32
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
40
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
3
1990
On the limited memory BFGS method for large scale optimization. Zbl 0696.90048
Liu, Dong C.; Nocedal, Jorge
638
1989
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
151
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
125
1987
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
69
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.
4
1986
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
71
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
Solving large nonlinear systems of equations arising in mechanics. Zbl 0473.65025
Nocedal, Jorge
1
1982
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
294
1980
Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041
Bjorstad, Petter; Nocedal, Jorge
4
1979
all top 5

Cited by 11,770 Authors

66 Zhu, Detong
47 Babaie-Kafaki, Saman
45 Yuan, Gonglin
43 Dai, Yu-Hong
40 Wei, Zengxin
34 Nocedal, Jorge
33 Kanzow, Christian
33 Martínez, José Mario
33 Teo, Kok Lay
30 Andrei, Neculai
28 Curtis, Frank E.
27 Yuan, Ya-xiang
27 Zhang, Lei-Hong
26 Shi, Zhenjun
25 Boyd, Stephen Poythress
25 Li, Donghui
24 Liu, Chongyang
23 Shen, Chungen
23 Toint, Philippe Louis
22 Amini, Keyvan
21 Aminifard, Zohre
21 Gratton, Serge
21 Kimiaei, Morteza
21 Qi, Liqun
21 Robinson, Daniel P.
21 Wen, Zaiwen
20 Byrd, Richard H.
20 Haber, Eldad
20 Leong, Wah June
20 Loxton, Ryan Christopher
19 Andreani, Roberto
18 Al-Baali, Mehiddin
18 Bellavia, Stefania
18 Júdice, Joaquim João
18 Mahdavi-Amiri, Nezam
17 Ghattas, Omar N.
17 Karniadakis, George Em
17 Lukšan, Ladislav
17 Ma, Changfeng
16 Birgin, Ernesto G.
16 Cartis, Coralia
16 Dong, Xiaoliang
16 Gu, Chao
16 Leyffer, Sven
16 Ni, Qin
16 Ruthotto, Lars
15 Ahookhosh, Masoud
15 Diehl, Moritz Mathias
15 Ghanbari, Reza
15 Gong, Zhaohua
15 Jian, Jinbao
15 Krejić, Nataša
15 Vicente, Luis Nunes
15 Xiao, Yunhai
15 Zhou, Weijun
14 di Serafino, Daniela
14 Kumam, Poom
14 Liu, Xinwei
14 Marra, Giampiero
14 Morini, Benedetta
14 Ou, Yigui
14 Schmidt, Martin
14 Shen, Jie
14 Strekalovskiĭ, Aleksandr Sergeevich
14 Sun, Wenyu
13 Anitescu, Mihai
13 Bala Abubakar, Auwal
13 Biros, George
13 Feng, Enmin
13 Giannakoglou, Kyriakos C.
13 Izmailov, Alekseĭ F.
13 Karas, Elizabeth Wegner
13 Kunisch, Karl
13 Landi, Germana
13 Luo, Xinlong
13 Navon, Ionel Michael
13 Pu, Dingguo
13 Sandu, Adrian
13 Santos, Sandra Augusta
13 Yao, Shengwei
13 Yu, Bo
12 Biegler, Lorenz T.
12 Borzì, Alfio
12 Chung, Matthias
12 Cribari-Neto, Francisco
12 Fasano, Giovanni
12 Goldfarb, Donald
12 Li, Chong
12 Liu, Hongwei
12 Liu, Zexian
12 Petra, Cosmin G.
12 Protas, Bartosz
12 Shashkov, Mikhail J.
12 Solodov, Mikhail V.
12 Stoll, Martin
12 Volkwein, Stefan
12 Wächter, Andreas
12 Wang, Michael Yu
12 Wright, Stephen J.
12 Yamashita, Nobuo
...and 11,670 more Authors
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Cited in 597 Serials

306 Computational Optimization and Applications
284 Journal of Computational Physics
247 Computer Methods in Applied Mechanics and Engineering
227 Journal of Optimization Theory and Applications
224 Journal of Computational and Applied Mathematics
203 Optimization Methods & Software
198 Mathematical Programming. Series A. Series B
190 Applied Mathematics and Computation
179 SIAM Journal on Optimization
133 Numerical Algorithms
127 SIAM Journal on Scientific Computing
108 Journal of Global Optimization
89 Automatica
86 Optimization and Engineering
85 Optimization
84 Optimization Letters
82 European Journal of Operational Research
79 Journal of Scientific Computing
78 Computers & Mathematics with Applications
68 Inverse Problems
68 Journal of Machine Learning Research (JMLR)
64 Applied Numerical Mathematics
64 Applied Mathematical Modelling
62 Computational Statistics and Data Analysis
57 Computational and Applied Mathematics
54 International Journal of Computer Mathematics
54 Mathematical Problems in Engineering
53 Computational Geosciences
53 SIAM Journal on Imaging Sciences
52 International Journal for Numerical Methods in Engineering
50 Computers and Fluids
49 Machine Learning
46 Journal of Industrial and Management Optimization
45 Linear Algebra and its Applications
44 Computational Mechanics
42 Computer Physics Communications
42 SIAM Journal on Matrix Analysis and Applications
41 Statistics and Computing
39 Journal of Applied Mathematics and Computing
38 Mathematics and Computers in Simulation
38 Journal of Mathematical Imaging and Vision
36 Mathematical Programming Computation
32 Computers & Operations Research
31 Journal of Fluid Mechanics
30 Numerical Functional Analysis and Optimization
30 Annals of Operations Research
30 Journal of Statistical Computation and Simulation
29 International Journal of Control
29 Information Sciences
29 SIAM Journal on Control and Optimization
29 Journal of Applied Statistics
29 Inverse Problems in Science and Engineering
29 SIAM/ASA Journal on Uncertainty Quantification
27 Neural Networks
26 Mathematics of Computation
26 Numerical Linear Algebra with Applications
26 The Annals of Applied Statistics
25 International Journal of Computer Vision
25 Journal of Inequalities and Applications
25 Structural and Multidisciplinary Optimization
23 Journal of the Operations Research Society of China
22 BIT
22 Numerische Mathematik
22 Physica D
21 Calcolo
21 SIAM Journal on Numerical Analysis
21 Communications in Statistics. Simulation and Computation
21 Advances in Computational Mathematics
21 Inverse Problems and Imaging
20 Biometrics
20 Optimal Control Applications & Methods
20 Computational Statistics
20 Mathematical Methods of Operations Research
20 Journal of Systems Science and Complexity
20 Journal of Computational and Graphical Statistics
19 Journal of Applied Mathematics
18 Journal of the Franklin Institute
18 Journal of Econometrics
18 Operations Research Letters
18 Communications in Statistics. Theory and Methods
17 Psychometrika
17 Journal of the American Statistical Association
17 Computer Aided Geometric Design
17 Neural Computation
17 Abstract and Applied Analysis
17 Communications in Computational Physics
17 Science China. Mathematics
17 Numerical Algebra, Control and Optimization
16 Applied Mathematics and Optimization
16 Asia-Pacific Journal of Operational Research
16 SIAM Review
16 International Journal of Robust and Nonlinear Control
16 Journal of Inverse and Ill-Posed Problems
16 Quantitative Finance
16 4OR
16 EURO Journal on Computational Optimization
15 International Journal for Numerical Methods in Fluids
15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Mathematical Geosciences
14 Computing
...and 497 more Serials
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Cited in 56 Fields

3,516 Operations research, mathematical programming (90-XX)
3,206 Numerical analysis (65-XX)
1,106 Calculus of variations and optimal control; optimization (49-XX)
986 Statistics (62-XX)
837 Computer science (68-XX)
493 Mechanics of deformable solids (74-XX)
483 Partial differential equations (35-XX)
443 Systems theory; control (93-XX)
428 Fluid mechanics (76-XX)
340 Biology and other natural sciences (92-XX)
236 Information and communication theory, circuits (94-XX)
220 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
209 Linear and multilinear algebra; matrix theory (15-XX)
202 Probability theory and stochastic processes (60-XX)
158 Geophysics (86-XX)
100 Ordinary differential equations (34-XX)
100 Statistical mechanics, structure of matter (82-XX)
89 Operator theory (47-XX)
80 Optics, electromagnetic theory (78-XX)
75 Dynamical systems and ergodic theory (37-XX)
69 Quantum theory (81-XX)
62 Mechanics of particles and systems (70-XX)
41 Differential geometry (53-XX)
40 Approximations and expansions (41-XX)
40 Classical thermodynamics, heat transfer (80-XX)
35 Combinatorics (05-XX)
32 Global analysis, analysis on manifolds (58-XX)
26 Real functions (26-XX)
26 Convex and discrete geometry (52-XX)
23 Functional analysis (46-XX)
22 Integral equations (45-XX)
18 Algebraic geometry (14-XX)
11 Special functions (33-XX)
9 Measure and integration (28-XX)
9 Functions of a complex variable (30-XX)
8 Astronomy and astrophysics (85-XX)
7 General and overarching topics; collections (00-XX)
7 Number theory (11-XX)
7 Difference and functional equations (39-XX)
7 Relativity and gravitational theory (83-XX)
6 Mathematical logic and foundations (03-XX)
6 Geometry (51-XX)
6 Manifolds and cell complexes (57-XX)
5 Potential theory (31-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Commutative algebra (13-XX)
4 Integral transforms, operational calculus (44-XX)
3 Group theory and generalizations (20-XX)
3 General topology (54-XX)
3 Mathematics education (97-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)

Citations by Year

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