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Nocedal, Jorge

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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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Documents Indexed: 89 Publications since 1979, including 2 Books

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 6,152 times in 4,591 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
395
1989
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
344
1995
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
310
1992
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
195
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
133
1997
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
129
1999
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
122
2018
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
122
1989
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
121
1994
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
101
1987
KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
95
2006
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
89
2000
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
84
1998
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
69
1985
On the solution of equality constrained quadratic programming problems arising in optimization. Zbl 0999.65050
Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge
67
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.
62
2006
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
56
1987
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
53
1992
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
49
2006
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
43
2000
Sample size selection in optimization methods for machine learning. Zbl 1252.49044
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen
43
2012
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
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
35
2016
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
30
2011
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
29
1992
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
28
1996
Wedge trust region method for derivative free optimization. Zbl 1049.90134
Marazzi, Marcelo; Nocedal, Jorge
27
2002
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
26
1998
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
25
2004
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
25
2010
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
24
2016
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
23
2012
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
22
2008
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
22
2008
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
21
1993
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
20
2016
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
20
2002
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
19
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
18
2009
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
16
1995
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.
16
2004
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
16
1998
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
16
2011
An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071
Byrd, Richard H.; Nocedal, Jorge
15
1991
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
15
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.
14
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
12
1985
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
12
2012
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
Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
10
2003
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
9
2008
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.
9
2016
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
9
2013
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
Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100
Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou
8
1996
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
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
7
2002
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
7
2014
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
7
2018
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
6
2004
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
6
1997
Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036
Lalee, Marucha; Nocedal, Jorge
6
1993
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
6
2019
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
5
2008
Conjugate direction methods with variable storage. Zbl 0482.90078
Nazareth, Larry; Nocedal, Jorge
5
1982
Data assimilation in weather forecasting: a case study in PDE-constrained optimization. Zbl 1400.90325
Fisher, Mike; Nocedal, Jorge; Trémolet, Yannick; Wright, Stephen J.
5
2009
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
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
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
2
2020
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
Feasibility control in nonlinear optimization. Zbl 0978.65050
Marazzi, Marcelo; Nocedal, Jorge
1
2001
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
1
2007
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; 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
6
2019
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
122
2018
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
7
2018
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
35
2016
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
24
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
20
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.
9
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
9
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
43
2012
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
23
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
30
2011
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
16
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
25
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.
19
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
18
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.
5
2009
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
22
2008
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
22
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
5
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.
95
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.
62
2006
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
49
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.
14
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.
16
2004
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
6
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
27
2002
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
20
2002
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
7
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
67
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
89
2000
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
43
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
129
1999
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
84
1998
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
26
1998
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
16
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
133
1997
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
6
1997
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
28
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
344
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.
121
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
310
1992
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
53
1992
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
29
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
395
1989
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
122
1989
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
101
1987
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
56
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
12
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
195
1980
Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041
Bjorstad, Petter; Nocedal, Jorge
4
1979
all top 5

Cited by 7,185 Authors

61 Zhu, Detong
38 Wei, Zengxin
30 Babaie-Kafaki, Saman
29 Dai, Yu-Hong
29 Nocedal, Jorge
29 Yuan, Gonglin
28 Andrei, Neculai
26 Martínez, José Mario
26 Shi, Zhenjun
25 Teo, Kok Lay
24 Kanzow, Christian
22 Curtis, Frank E.
22 Yuan, Ya-xiang
22 Zhang, Lei-Hong
21 Qi, Liqun
19 Li, Donghui
19 Toint, Philippe L.
18 Al-Baali, Mehiddin
18 Boyd, Stephen Poythress
18 Byrd, Richard H.
18 Leong, Wah June
18 Robinson, Daniel P.
17 Loxton, Ryan Christopher
17 Ma, Changfeng
16 Gratton, Serge
16 Gu, Chao
16 Haber, Eldad
16 Júdice, Joaquim João
16 Liu, Chongyang
16 Lukšan, Ladislav
16 Shen, Chungen
15 Xiao, Yunhai
14 Ghanbari, Reza
14 Mahdavi-Amiri, Nezam
14 Ni, Qin
14 Shen, Jie
13 Ahookhosh, Masoud
13 Birgin, Ernesto G.
13 Dong, Xiaoliang
13 Sun, Wenyu
13 Vicente, Luis Nunes
13 Zhou, Weijun
12 Amini, Keyvan
12 Andreani, Roberto
12 Bellavia, Stefania
12 Goldfarb, Donald
12 Kimiaei, Morteza
12 Liu, Hongwei
12 Marra, Giampiero
12 Morini, Benedetta
12 Pu, Dingguo
12 Sandu, Adrian
12 Wächter, Andreas
12 Wang, Michael Yu
12 Yao, Shengwei
11 Biegler, Lorenz T.
11 Kunisch, Karl
11 Navon, Ionel Michael
11 Ou, Yigui
11 Strekalovskiĭ, Aleksandr Sergeevich
11 Volkwein, Stefan
11 Xia, Qi
10 Armand, Paul
10 Biros, George
10 Cheng, Wanyou
10 di Serafino, Daniela
10 Fasano, Giovanni
10 Feng, Enmin
10 Fukushima, Masao
10 Ghattas, Omar N.
10 Gong, Zhaohua
10 Izmailov, Alekseĭ F.
10 Li, Chong
10 Marcia, Roummel F.
10 Orban, Dominique
10 Peyghami, Mohammad Reza
10 Schoen, Fabio
10 Shashkov, Mikhail J.
10 Shi, Tielin
10 Solodov, Mikhail V.
10 Walther, Andrea
10 Wan, Zhong
10 Zhang, Jianzhong
9 Bai, Zhengjian
9 Cartis, Coralia
9 Dai, Zhifeng
9 Diehl, Moritz Mathias
9 Gould, Nicholas Ian Mark
9 Hager, William W.
9 Krejić, Nataša
9 Landi, Germana
9 Lucidi, Stefano
9 Overton, Michael L.
9 Radice, Rosalba
9 Scheinberg, Katya
9 Shen, Weiping
9 Vlček, Jan
9 Yabe, Hiroshi
8 Absil, Pierre-Antoine
8 Chung, Matthias
...and 7,085 more Authors
all top 5

Cited in 450 Serials

225 Computational Optimization and Applications
178 Journal of Optimization Theory and Applications
169 Optimization Methods & Software
166 Journal of Computational and Applied Mathematics
159 Journal of Computational Physics
155 Applied Mathematics and Computation
146 Mathematical Programming. Series A. Series B
134 Computer Methods in Applied Mechanics and Engineering
128 SIAM Journal on Optimization
86 Numerical Algorithms
79 Journal of Global Optimization
77 SIAM Journal on Scientific Computing
65 European Journal of Operational Research
60 Optimization
59 Optimization Letters
56 Automatica
54 Computers & Mathematics with Applications
51 Mathematical Problems in Engineering
51 Optimization and Engineering
48 Applied Numerical Mathematics
48 Computational Statistics and Data Analysis
44 Journal of Scientific Computing
39 Linear Algebra and its Applications
38 Computational Geosciences
36 Applied Mathematical Modelling
35 Computational and Applied Mathematics
34 International Journal of Computer Mathematics
32 SIAM Journal on Imaging Sciences
31 Computers and Fluids
30 International Journal for Numerical Methods in Engineering
30 Journal of Machine Learning Research (JMLR)
29 Computational Mechanics
28 Numerical Functional Analysis and Optimization
26 SIAM Journal on Matrix Analysis and Applications
25 Inverse Problems
24 Machine Learning
24 Journal of Applied Mathematics and Computing
24 Structural and Multidisciplinary Optimization
23 Journal of Industrial and Management Optimization
23 Inverse Problems in Science and Engineering
22 Journal of Mathematical Imaging and Vision
20 Annals of Operations Research
20 Journal of Statistical Computation and Simulation
20 Numerical Linear Algebra with Applications
20 Statistics and Computing
19 Mathematics of Computation
19 Computers & Operations Research
18 International Journal of Control
18 Mathematics and Computers in Simulation
18 SIAM Journal on Control and Optimization
18 SIAM/ASA Journal on Uncertainty Quantification
17 Computer Physics Communications
17 Calcolo
17 Numerische Mathematik
17 Abstract and Applied Analysis
17 Mathematical Programming Computation
16 Mathematical Methods of Operations Research
16 Inverse Problems and Imaging
15 Journal of Fluid Mechanics
15 BIT
15 International Journal of Computer Vision
15 Journal of Inequalities and Applications
15 Journal of Applied Statistics
15 Journal of Applied Mathematics
15 Journal of the Operations Research Society of China
14 International Journal for Numerical Methods in Fluids
14 Computing
14 SIAM Journal on Numerical Analysis
14 Quantitative Finance
14 The Annals of Applied Statistics
13 Information Sciences
13 Journal of Econometrics
13 Neural Computation
13 Computational Statistics
13 Advances in Computational Mathematics
13 Journal of Systems Science and Complexity
13 Science China. Mathematics
13 Numerical Algebra, Control and Optimization
12 Psychometrika
12 Acta Mathematicae Applicatae Sinica. English Series
12 Asia-Pacific Journal of Operational Research
12 Applied Mathematics. Series B (English Edition)
12 Journal of Inverse and Ill-Posed Problems
12 Mathematical Geosciences
11 Operations Research Letters
11 Neural Networks
11 SIAM Review
11 Chaos
11 4OR
10 Journal of Mathematical Analysis and Applications
10 Bulletin of Mathematical Biology
10 Applied Mathematics and Optimization
10 Biometrics
10 Computer Aided Geometric Design
10 Signal Processing
10 Applied and Computational Harmonic Analysis
9 Journal of Statistical Planning and Inference
9 Kybernetika
9 Meccanica
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 350 more Serials
all top 5

Cited in 53 Fields

2,371 Operations research, mathematical programming (90-XX)
2,118 Numerical analysis (65-XX)
737 Calculus of variations and optimal control; optimization (49-XX)
540 Statistics (62-XX)
389 Computer science (68-XX)
286 Mechanics of deformable solids (74-XX)
272 Systems theory; control (93-XX)
261 Fluid mechanics (76-XX)
257 Partial differential equations (35-XX)
221 Biology and other natural sciences (92-XX)
153 Information and communication theory, circuits (94-XX)
132 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
131 Linear and multilinear algebra; matrix theory (15-XX)
120 Probability theory and stochastic processes (60-XX)
109 Geophysics (86-XX)
63 Ordinary differential equations (34-XX)
51 Statistical mechanics, structure of matter (82-XX)
50 Operator theory (47-XX)
45 Optics, electromagnetic theory (78-XX)
43 Dynamical systems and ergodic theory (37-XX)
36 Mechanics of particles and systems (70-XX)
29 Classical thermodynamics, heat transfer (80-XX)
28 Quantum theory (81-XX)
24 Approximations and expansions (41-XX)
22 Differential geometry (53-XX)
21 Combinatorics (05-XX)
18 Global analysis, analysis on manifolds (58-XX)
15 Convex and discrete geometry (52-XX)
14 Real functions (26-XX)
13 Functional analysis (46-XX)
12 Integral equations (45-XX)
8 Measure and integration (28-XX)
8 Special functions (33-XX)
7 Algebraic geometry (14-XX)
6 Number theory (11-XX)
5 Geometry (51-XX)
5 Astronomy and astrophysics (85-XX)
4 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
4 Functions of a complex variable (30-XX)
4 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Relativity and gravitational theory (83-XX)
3 Group theory and generalizations (20-XX)
3 Sequences, series, summability (40-XX)
3 Integral transforms, operational calculus (44-XX)
3 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)
2 Potential theory (31-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

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