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## Nocedal, Jorge

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 Author ID: nocedal.jorge Published as: Nocedal, Jorge; Nocedal, J.; Nocedal, Jorge M. Homepage: http://users.iems.northwestern.edu/~nocedal/ External Links: IdRef · Google Scholar · MGP · Wikidata · dblp · GND
 Documents Indexed: 89 Publications since 1979, including 2 Books
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#### Co-Authors

 7 single-authored 33 Byrd, Richard H. 11 Morales, José Luis 10 Waltz, Richard A. 7 Curtis, Frank E. 4 Gould, Nicholas Ian Mark 4 Overton, Michael L. 4 Öztoprak, Figen 4 Zhu, Ciyou 3 Bollapragada, Raghu 3 Chin, Gillian M. 3 Feng, Liming 3 Liu, Dong Chang 3 Marazzi, Marcelo 3 Wächter, Andreas 3 Wright, Stephen J. 3 Wu, Yuchen 3 Yuan, Ya-xiang 2 Berahas, Albert S. 2 Biegler, Lorenz T. 2 Friedland, Shmuel 2 Gilbert, Jean Charles 2 Goux, Jean-Pierre 2 Hribar, Mary E. 2 Lalee, Marucha 2 Linetsky, Vadim 2 Liu, Guanghui 2 López-Calva, Gabriel 2 Lu, Peihuang 2 Sartenaer, Annick 2 Schmid, Claudia 1 Bjørstad, Petter Erling 1 Bottou, Léon 1 Duff, Iain S. 1 Fasano, Giovanni 1 Fisher, Mike 1 Gertz, Michael 1 Good, Marcel 1 Gourgeon, Herve 1 Hansen, Simon Lysbjerg 1 Keskar, Nitish Shirish 1 Leyffer, Sven 1 Nash, Stephen G. 1 Nazareth, Larry 1 Neveitt, Will 1 Orban, Dominique 1 Pang, Jong-Shi 1 Plantenga, Todd 1 Reid, John 1 Robinson, Daniel P. 1 Schnabel, Robert B. 1 Smelyanskiy, Mikhail 1 Solntsev, Stefan 1 Ternet, David 1 Trémolet, Yannick 1 Xie, Yuchen
all top 5

#### Serials

 20 SIAM Journal on Optimization 15 Mathematical Programming. Series A. Series B 7 Optimization Methods & Software 4 SIAM Journal on Numerical Analysis 4 Computational Optimization and Applications 3 IMA Journal of Numerical Analysis 3 ACM Transactions on Mathematical Software 3 SIAM Journal on Scientific and Statistical Computing 2 Applied Mathematics Letters 2 SIAM Journal on Scientific Computing 1 Mathematics of Computation 1 Computing 1 Mathematical Programming 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 SIAM Review 1 Documenta Mathematica 1 Optimization and Engineering 1 Springer Series in Operations Research and Financial Engineering
all top 5

#### Fields

 79 Operations research, mathematical programming (90-XX) 68 Numerical analysis (65-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### 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
1989
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
1995
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
1992
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
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
1997
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
1999
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
2018
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
1989
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
1994
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
1987
KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
2006
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
2000
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
1998
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
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
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.
2006
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
1987
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
1992
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
2006
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
2000
Sample size selection in optimization methods for machine learning. Zbl 1252.49044
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen
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
1991
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
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
2011
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
1992
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
1996
Wedge trust region method for derivative free optimization. Zbl 1049.90134
Marazzi, Marcelo; Nocedal, Jorge
2002
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
1998
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
2004
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
2016
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
2012
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2008
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
2008
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
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
2016
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
2002
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
2009
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
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.
2004
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
1998
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
2011
An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071
Byrd, Richard H.; Nocedal, Jorge
1991
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
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.
2005
On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge
2011
A conic algorithm for optimization. Zbl 0561.65041
Gourgeon, Hervé; Nocedal, Jorge
1985
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
2012
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
2009
Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
2003
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
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.
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
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
2003
Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100
Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou
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.
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.
2015
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
2002
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
2014
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
2018
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
2004
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
1997
Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036
Lalee, Marucha; Nocedal, Jorge
1993
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
2019
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
2008
Conjugate direction methods with variable storage. Zbl 0482.90078
Nazareth, Larry; Nocedal, Jorge
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.
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
2000
Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. Zbl 1070.65538
Morales, José Luis; Nocedal, Jorge
2001
Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041
1979
The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068
Gould, Nicholas I. M.; Nocedal, Jorge
1998
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
1986
The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081
Nocedal, Jorge
1990
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
2020
On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen
2013
Feasibility control in nonlinear optimization. Zbl 0978.65050
Marazzi, Marcelo; Nocedal, Jorge
2001
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
2007
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
2020
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
2019
Optimization methods for large-scale machine learning. Zbl 1397.65085
Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge
2018
Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131
Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge
2018
A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166
Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y.
2016
An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037
Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen
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
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.
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.
2015
An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A.
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
2013
On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen
2013
Sample size selection in optimization methods for machine learning. Zbl 1252.49044
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen
2012
A line search exact penalty method using steering rules. Zbl 1254.90221
Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge
2012
A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093
Morales, José Luis; Nocedal, Jorge; Wu, Yuchen
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
2011
Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164
Morales, José Luis; Nocedal, Jorge
2011
On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge
2011
Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2010
Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036
Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A.
2009
On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589
Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge
2009
A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035
Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas
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.
2009
An inexact SQP method for equality constrained optimization. Zbl 1158.49035
Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge
2008
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
2008
An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389
Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail
2008
Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058
Curtis, Frank E.; Nocedal, Jorge
2008
Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452
Curtis, Frank; Nocedal, Jorge
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.
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.
2006
Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095
Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge
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.
2005
On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038
Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge
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.
2004
A starting point strategy for nonlinear interior methods. Zbl 1087.90084
Gertz, M.; Nocedal, J.; Sartenaer, A.
2004
Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
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
2003
Wedge trust region method for derivative free optimization. Zbl 1049.90134
Marazzi, Marcelo; Nocedal, Jorge
2002
On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057
Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou
2002
Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035
Morales, José Luis; Nocedal, Jorge
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
2001
Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. Zbl 1070.65538
Morales, José Luis; Nocedal, Jorge
2001
Feasibility control in nonlinear optimization. Zbl 0978.65050
Marazzi, Marcelo; Nocedal, Jorge
2001
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
2000
Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019
Morales, José Luis; Nocedal, Jorge
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
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
1999
Combining trust region and line search techniques. Zbl 0909.90243
Nocedal, Jorge; Yuan, Yaxiang
1998
On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055
Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd
1998
On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021
Byrd, R. H.; Liu, Guanghui; Nocedal, J.
1998
The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068
Gould, Nicholas I. M.; Nocedal, Jorge
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
1997
Large scale unconstrained optimization. Zbl 0881.65055
Nocedal, Jorge
1997
Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037
Nocedal, Jorge
1996
Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100
Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou
1996
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
1995
A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061
Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia
1995
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B.
1994
Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067
Nocedal, Jorge; Yuan, Yaxiang
1993
Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036
Lalee, Marucha; Nocedal, Jorge
1993
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
1992
Theory of algorithms for unconstrained optimization. Zbl 0766.65051
Nocedal, Jorge
1992
On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063
Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge
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
1991
An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071
Byrd, Richard H.; Nocedal, Jorge
1991
The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081
Nocedal, Jorge
1990
On the limited memory BFGS method for large scale optimization. Zbl 0696.90048
Liu, Dong C.; Nocedal, Jorge
1989
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061
Byrd, Richard H.; Nocedal, Jorge
1989
Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083
Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang
1987
The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030
Friedland, S.; Nocedal, J.; Overton, M. L.
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.
1987
Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025
Friedland, S.; Nocedal, J.; Overton, M. L.
1986
Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043
Nocedal, Jorge; Overton, Michael L.
1985
A conic algorithm for optimization. Zbl 0561.65041
Gourgeon, Hervé; Nocedal, Jorge
1985
Conjugate direction methods with variable storage. Zbl 0482.90078
Nazareth, Larry; Nocedal, Jorge
1982
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
1980
Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041
1979
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#### 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
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#### 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
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#### 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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