Edit Profile (opens in new tab) Nocedal, Jorge Compute Distance To: Compute Author ID: nocedal.jorge Published as: Nocedal, Jorge; Nocedal, J.; Nocedal, Jorge M. more...less Homepage: http://users.iems.northwestern.edu/~nocedal/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 91 Publications since 1979, including 2 Books Co-Authors: 57 Co-Authors with 84 Joint Publications 1,118 Co-Co-Authors all top 5 Co-Authors 7 single-authored 34 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, Dongchang 3 Marazzi, Marcelo 3 Wächter, Andreas 3 Wright, Stephen J. 3 Wu, Yuchen 3 Xie, 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 2 Shi, Hao-Jun Michael 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 Xuan, Melody Qiming all top 5 Serials 21 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 3 SIAM Journal on Scientific Computing 2 Applied Mathematics Letters 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 81 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 7,457 times in 5,576 Documents Cited by ▼ Year ▼ Numerical optimization. 2nd ed. Zbl 1104.65059Nocedal, Jorge; Wright, Stephen J. 1,798 2006 Numerical optimization. Zbl 0930.65067Nocedal, Jorge; Wright, Stephen J. 1,440 1999 On the limited memory BFGS method for large scale optimization. Zbl 0696.90048Liu, Dong C.; Nocedal, Jorge 501 1989 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 454 1995 Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082Gilbert, Jean Charles; Nocedal, Jorge 359 1992 Updating quasi-Newton matrices with limited storage. Zbl 0464.65037Nocedal, Jorge 242 1980 Optimization methods for large-scale machine learning. Zbl 1397.65085Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge 218 2018 Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge 168 1997 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 153 1999 Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B. 143 1994 A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061Byrd, Richard H.; Nocedal, Jorge 139 1989 KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 117 2006 Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang 110 1987 A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge 104 2000 Combining trust region and line search techniques. Zbl 0909.90243Nocedal, Jorge; Yuan, Yaxiang 93 1998 An interior algorithm for nonlinear optimization that combines line search and trust region steps. Zbl 1134.90053Waltz, R. A.; Morales, J. L.; Nocedal, J.; Orban, D. 77 2006 On the solution of equality constrained quadratic programming problems arising in optimization. Zbl 0999.65050Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge 76 2001 Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043Nocedal, Jorge; Overton, Michael L. 69 1985 The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030Friedland, S.; Nocedal, J.; Overton, M. L. 64 1987 A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. 61 2016 Theory of algorithms for unconstrained optimization. Zbl 0766.65051Nocedal, Jorge 57 1992 Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge 55 2006 Sample size selection in optimization methods for machine learning. Zbl 1252.49044Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen 54 2012 Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019Morales, José Luis; Nocedal, Jorge 44 2000 On the use of stochastic Hessian information in optimization methods for machine learning. Zbl 1245.65062Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge 41 2011 A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. Zbl 0756.65091Nash, Stephen G.; Nocedal, Jorge 40 1991 On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge 30 1992 Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037Nocedal, Jorge 30 1996 An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen 29 2016 Wedge trust region method for derivative free optimization. Zbl 1049.90134Marazzi, Marcelo; Nocedal, Jorge 29 2002 Steering exact penalty methods for nonlinear programming. Zbl 1211.90224Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 29 2008 Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 28 2010 On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd 28 1998 A family of second-order methods for convex \(\ell _1\)-regularized optimization. Zbl 1350.49046Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen 26 2016 A line search exact penalty method using steering rules. Zbl 1254.90221Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge 26 2012 An inexact SQP method for equality constrained optimization. Zbl 1158.49035Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 26 2008 On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou 25 2002 On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge 25 2004 Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164Morales, José Luis; Nocedal, Jorge 23 2011 Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A. 22 2009 On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge 22 2009 Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067Nocedal, Jorge; Yuan, Yaxiang 21 1993 An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. Zbl 1146.90513Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 21 2004 On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021Byrd, R. H.; Liu, Guanghui; Nocedal, J. 19 1998 An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 18 2010 A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia 18 1995 An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071Byrd, Richard H.; Nocedal, Jorge 15 1991 On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 15 2005 On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge 14 2011 A second-order method for convex \(\ell_1\)-regularized optimization with active-set prediction. Zbl 1341.49039Keskar, N.; Nocedal, J.; Öztoprak, F.; Wächter, A. 13 2016 A conic algorithm for optimization. Zbl 0561.65041Gourgeon, Hervé; Nocedal, Jorge 13 1985 A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093Morales, José Luis; Nocedal, Jorge; Wu, Yuchen 13 2012 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 12 2019 Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge 10 2018 A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas 10 2009 Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 10 2003 Subspace accelerated matrix splitting algorithms for asymmetric and symmetric linear complementarity problems. Zbl 1291.49023Robinson, Daniel P.; Feng, Liming; Nocedal, Jorge M.; Pang, Jong-Shi 10 2013 An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. 10 2015 Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge 10 2019 Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035Morales, José Luis; Nocedal, Jorge 9 2002 An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail 9 2008 An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge 8 2020 The use of linear programming for the solution of sparse sets of nonlinear equations. Zbl 0636.65053Duff, I. S.; Nocedal, J.; Reid, J. K. 8 1987 Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058Curtis, Frank E.; Nocedal, Jorge 8 2008 Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou 8 1996 A starting point strategy for nonlinear interior methods. Zbl 1087.90084Gertz, M.; Nocedal, J.; Sartenaer, A. 8 2004 Assessing the potential of interior methods for nonlinear optimization. Zbl 1062.65063Morales, Joseé Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre 8 2003 Large scale unconstrained optimization. Zbl 0881.65055Nocedal, Jorge 7 1997 An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A. 7 2014 Data assimilation in weather forecasting: a case study in PDE-constrained optimization. Zbl 1400.90325Fisher, Mike; Nocedal, Jorge; Trémolet, Yannick; Wright, Stephen J. 7 2009 Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036Lalee, Marucha; Nocedal, Jorge 6 1993 Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David 6 2000 Conjugate direction methods with variable storage. Zbl 0482.90078Nazareth, Larry; Nocedal, Jorge 5 1982 Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. Zbl 1070.65538Morales, José Luis; Nocedal, Jorge 5 2001 Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025Friedland, S.; Nocedal, J.; Overton, M. L. 4 1986 Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041Bjorstad, Petter; Nocedal, Jorge 4 1979 The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068Gould, Nicholas I. M.; Nocedal, Jorge 3 1998 Analysis of the BFGS method with errors. Zbl 1435.90149Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge 2 2020 The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081Nocedal, Jorge 2 1990 On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen 2 2013 Algorithms with conic termination for nonlinear optimization. Zbl 0663.65062Liu, Dong C.; Nocedal, Jorge 1 1989 Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452Curtis, Frank; Nocedal, Jorge 1 2007 Feasibility control in nonlinear optimization. Zbl 0978.65050Marazzi, Marcelo; Nocedal, Jorge 1 2001 A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge 1 2022 A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge 1 2022 An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge 8 2020 Analysis of the BFGS method with errors. Zbl 1435.90149Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge 2 2020 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 12 2019 Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge 10 2019 Optimization methods for large-scale machine learning. Zbl 1397.65085Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge 218 2018 Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge 10 2018 A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. 61 2016 An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen 29 2016 A family of second-order methods for convex \(\ell _1\)-regularized optimization. Zbl 1350.49046Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen 26 2016 A second-order method for convex \(\ell_1\)-regularized optimization with active-set prediction. Zbl 1341.49039Keskar, N.; Nocedal, J.; Öztoprak, F.; Wächter, A. 13 2016 An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. 10 2015 An interior point method for nonlinear programming with infeasibility detection capabilities. Zbl 1306.90152Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A. 7 2014 Subspace accelerated matrix splitting algorithms for asymmetric and symmetric linear complementarity problems. Zbl 1291.49023Robinson, Daniel P.; Feng, Liming; Nocedal, Jorge M.; Pang, Jong-Shi 10 2013 On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen 2 2013 Sample size selection in optimization methods for machine learning. Zbl 1252.49044Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen 54 2012 A line search exact penalty method using steering rules. Zbl 1254.90221Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge 26 2012 A sequential quadratic programming algorithm with an additional equality constrained phase. Zbl 1246.65093Morales, José Luis; Nocedal, Jorge; Wu, Yuchen 13 2012 On the use of stochastic Hessian information in optimization methods for machine learning. Zbl 1245.65062Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge 41 2011 Remark on “Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”. Zbl 1365.65164Morales, José Luis; Nocedal, Jorge 23 2011 On the solution of complementarity problems arising in American options pricing. Zbl 1229.90230Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge 14 2011 Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 28 2010 An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 18 2010 Adaptive barrier update strategies for nonlinear interior methods. Zbl 1176.49036Nocedal, Jorge; Wächter, Andreas; Waltz, Richard A. 22 2009 On the geometry phase in model-based algorithms for derivative-free optimization. Zbl 1154.90589Fasano, Giovanni; Morales, José Luis; Nocedal, Jorge 22 2009 A matrix-free algorithm for equality constrained optimization problems with rank-deficient Jacobians. Zbl 1195.49035Curtis, Frank E.; Nocedal, Jorge; Wächter, Andreas 10 2009 Data assimilation in weather forecasting: a case study in PDE-constrained optimization. Zbl 1400.90325Fisher, Mike; Nocedal, Jorge; Trémolet, Yannick; Wright, Stephen J. 7 2009 Steering exact penalty methods for nonlinear programming. Zbl 1211.90224Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 29 2008 An inexact SQP method for equality constrained optimization. Zbl 1158.49035Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 26 2008 An algorithm for the fast solution of symmetric linear complementarity problems. Zbl 1157.65389Morales, José Luis; Nocedal, Jorge; Smelyanskiy, Mikhail 9 2008 Flexible penalty functions for nonlinear constrained optimization. Zbl 1156.65058Curtis, Frank E.; Nocedal, Jorge 8 2008 Steplength selection in interior-point methods for quadratic programming. Zbl 1161.90452Curtis, Frank; Nocedal, Jorge 1 2007 Numerical optimization. 2nd ed. Zbl 1104.65059Nocedal, Jorge; Wright, Stephen J. 1,798 2006 KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 117 2006 An interior algorithm for nonlinear optimization that combines line search and trust region steps. Zbl 1134.90053Waltz, R. A.; Morales, J. L.; Nocedal, J.; Orban, D. 77 2006 Interior methods for mathematical programs with complementarity constraints. Zbl 1112.90095Leyffer, Sven; López-Calva, Gabriel; Nocedal, Jorge 55 2006 On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 15 2005 On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge 25 2004 An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. Zbl 1146.90513Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 21 2004 A starting point strategy for nonlinear interior methods. Zbl 1087.90084Gertz, M.; Nocedal, J.; Sartenaer, A. 8 2004 Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 10 2003 Assessing the potential of interior methods for nonlinear optimization. Zbl 1062.65063Morales, Joseé Luis; Nocedal, Jorge; Waltz, Richard A.; Liu, Guanghui; Goux, Jean-Pierre 8 2003 Wedge trust region method for derivative free optimization. Zbl 1049.90134Marazzi, Marcelo; Nocedal, Jorge 29 2002 On the behavior of the gradient norm in the steepest descent method. Zbl 1008.90057Nocedal, Jorge; Sartenaer, Annick; Zhu, Ciyou 25 2002 Enriched methods for large-scale unconstrained optimization. Zbl 0988.90035Morales, José Luis; Nocedal, Jorge 9 2002 On the solution of equality constrained quadratic programming problems arising in optimization. Zbl 0999.65050Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge 76 2001 Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. Zbl 1070.65538Morales, José Luis; Nocedal, Jorge 5 2001 Feasibility control in nonlinear optimization. Zbl 0978.65050Marazzi, Marcelo; Nocedal, Jorge 1 2001 A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge 104 2000 Automatic preconditioning by limited memory quasi-Newton updating. Zbl 1020.65019Morales, José Luis; Nocedal, Jorge 44 2000 Numerical experience with a reduced Hessian method for large scale constrained optimization. Zbl 0942.90025Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia; Ternet, David 6 2000 Numerical optimization. Zbl 0930.65067Nocedal, Jorge; Wright, Stephen J. 1,440 1999 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 153 1999 Combining trust region and line search techniques. Zbl 0909.90243Nocedal, Jorge; Yuan, Yaxiang 93 1998 On the implementation of an algorithm for large-scale equality constrained optimization. Zbl 0913.65055Lalee, Marucha; Nocedal, Jorge; Plantenga, Todd 28 1998 On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021Byrd, R. H.; Liu, Guanghui; Nocedal, J. 19 1998 The modified absolute-value factorization norm for trust-region minimization. Zbl 0942.65068Gould, Nicholas I. M.; Nocedal, Jorge 3 1998 Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge 168 1997 Large scale unconstrained optimization. Zbl 0881.65055Nocedal, Jorge 7 1997 Conjugate gradient methods and nonlinear optimization. Zbl 0866.65037Nocedal, Jorge 30 1996 Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou 8 1996 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 454 1995 A reduced Hessian method for large-scale constrained optimization. Zbl 0828.65061Biegler, Lorenz T.; Nocedal, Jorge; Schmid, Claudia 18 1995 Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B. 143 1994 Analysis of a self-scaling quasi-Newton method. Zbl 0794.90067Nocedal, Jorge; Yuan, Yaxiang 21 1993 Automatic column scaling strategies for quasi-Newton methods. Zbl 0787.65036Lalee, Marucha; Nocedal, Jorge 6 1993 Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082Gilbert, Jean Charles; Nocedal, Jorge 359 1992 Theory of algorithms for unconstrained optimization. Zbl 0766.65051Nocedal, Jorge 57 1992 On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge 30 1992 A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. Zbl 0756.65091Nash, Stephen G.; Nocedal, Jorge 40 1991 An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071Byrd, Richard H.; Nocedal, Jorge 15 1991 The performance of several algorithms for large scale unconstrained optimization. Zbl 0726.90081Nocedal, Jorge 2 1990 On the limited memory BFGS method for large scale optimization. Zbl 0696.90048Liu, Dong C.; Nocedal, Jorge 501 1989 A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061Byrd, Richard H.; Nocedal, Jorge 139 1989 Algorithms with conic termination for nonlinear optimization. Zbl 0663.65062Liu, Dong C.; Nocedal, Jorge 1 1989 Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang 110 1987 The formulation and analysis of numerical methods for inverse eigenvalue problems. Zbl 0622.65030Friedland, S.; Nocedal, J.; Overton, M. L. 64 1987 The use of linear programming for the solution of sparse sets of nonlinear equations. Zbl 0636.65053Duff, I. S.; Nocedal, J.; Reid, J. K. 8 1987 Four quadratically convergent methods for solving inverse eigenvalue problems. Zbl 0642.65025Friedland, S.; Nocedal, J.; Overton, M. L. 4 1986 Projected Hessian updating algorithms for nonlinearly constrained optimization. Zbl 0593.65043Nocedal, Jorge; Overton, Michael L. 69 1985 A conic algorithm for optimization. Zbl 0561.65041Gourgeon, Hervé; Nocedal, Jorge 13 1985 Conjugate direction methods with variable storage. Zbl 0482.90078Nazareth, Larry; Nocedal, Jorge 5 1982 Updating quasi-Newton matrices with limited storage. Zbl 0464.65037Nocedal, Jorge 242 1980 Analysis of a new algorithm for one-dimensional minimization. Zbl 0401.65041Bjorstad, Petter; Nocedal, Jorge 4 1979 all cited Publications top 5 cited Publications all top 5 Cited by 8,992 Authors 63 Zhu, Detong 39 Yuan, Gonglin 38 Babaie-Kafaki, Saman 38 Wei, Zengxin 32 Dai, Yu-Hong 31 Nocedal, Jorge 30 Andrei, Neculai 28 Martínez, José Mario 28 Teo, Kok Lay 26 Shi, Zhenjun 25 Curtis, Frank E. 25 Kanzow, Christian 25 Zhang, Lei-Hong 24 Yuan, Ya-xiang 23 Li, Donghui 22 Shen, Chungen 21 Qi, Liqun 19 Byrd, Richard H. 19 Kimiaei, Morteza 19 Leong, Wah June 19 Liu, Chongyang 19 Robinson, Daniel P. 19 Toint, Philippe L. 18 Al-Baali, Mehiddin 18 Boyd, Stephen Poythress 18 Júdice, Joaquim João 18 Loxton, Ryan Christopher 17 Andreani, Roberto 17 Gratton, Serge 17 Haber, Eldad 17 Lukšan, Ladislav 17 Ma, Changfeng 16 Gu, Chao 15 Amini, Keyvan 15 Bellavia, Stefania 15 Ghanbari, Reza 15 Mahdavi-Amiri, Nezam 15 Xiao, Yunhai 15 Zhou, Weijun 14 Ahookhosh, Masoud 14 Birgin, Ernesto G. 14 Dong, Xiaoliang 14 Ni, Qin 14 Shen, Jie 13 Aminifard, Zohre 13 Marra, Giampiero 13 Morini, Benedetta 13 Ou, Yigui 13 Sun, Wenyu 13 Vicente, Luis Nunes 13 Wen, Zaiwen 12 Ghattas, Omar N. 12 Goldfarb, Donald 12 Gong, Zhaohua 12 Izmailov, Alekseĭ F. 12 Jian, Jinbao 12 Karniadakis, George Em 12 Leyffer, Sven 12 Liu, Hongwei 12 Luo, Xinlong 12 Pu, Dingguo 12 Ruthotto, Lars 12 Sandu, Adrian 12 Strekalovskiĭ, Aleksandr Sergeevich 12 Wächter, Andreas 12 Wang, Michael Yu 12 Yao, Shengwei 12 Zhang, Li 11 Biegler, Lorenz T. 11 Biros, George 11 di Serafino, Daniela 11 Diehl, Moritz Mathias 11 Fasano, Giovanni 11 Fukushima, Masao 11 Kunisch, Karl 11 Landi, Germana 11 Marcia, Roummel F. 11 Navon, Ionel Michael 11 Solodov, Mikhail V. 11 Volkwein, Stefan 11 Xia, Qi 10 Anitescu, Mihai 10 Armand, Paul 10 Bai, Zhengjian 10 Borzì, Alfio 10 Cartis, Coralia 10 Cheng, Wanyou 10 Chung, Matthias 10 Cribari-Neto, Francisco 10 Dai, Zhifeng 10 Feng, Enmin 10 Krejić, Nataša 10 Li, Chong 10 Li, Min 10 Liu, Zexian 10 Lucidi, Stefano 10 Orban, Dominique 10 Peyghami, Mohammad Reza 10 Protas, Bartosz 10 Scheinberg, Katya ...and 8,892 more Authors all top 5 Cited in 513 Serials 249 Computational Optimization and Applications 206 Journal of Computational Physics 198 Journal of Optimization Theory and Applications 188 Journal of Computational and Applied Mathematics 188 Optimization Methods & Software 176 Computer Methods in Applied Mechanics and Engineering 167 Applied Mathematics and Computation 160 Mathematical Programming. Series A. Series B 146 SIAM Journal on Optimization 105 Numerical Algorithms 93 SIAM Journal on Scientific Computing 85 Journal of Global Optimization 78 European Journal of Operational Research 72 Automatica 69 Optimization and Engineering 66 Optimization Letters 63 Optimization 61 Journal of Scientific Computing 59 Computers & Mathematics with Applications 58 Applied Numerical Mathematics 53 Computational Statistics and Data Analysis 51 Applied Mathematical Modelling 51 Mathematical Problems in Engineering 50 International Journal of Computer Mathematics 44 Computational and Applied Mathematics 43 SIAM Journal on Imaging Sciences 42 Computational Geosciences 41 Computers and Fluids 41 Linear Algebra and its Applications 40 Machine Learning 37 Computational Mechanics 36 Journal of Machine Learning Research (JMLR) 33 SIAM Journal on Matrix Analysis and Applications 33 Journal of Applied Mathematics and Computing 32 Statistics and Computing 31 Journal of Mathematical Imaging and Vision 30 Inverse Problems 30 International Journal for Numerical Methods in Engineering 29 Numerical Functional Analysis and Optimization 29 Journal of Industrial and Management Optimization 27 Journal of Applied Statistics 27 Inverse Problems in Science and Engineering 27 Mathematical Programming Computation 26 Computers & Operations Research 25 Annals of Operations Research 24 Journal of Inequalities and Applications 24 Structural and Multidisciplinary Optimization 23 SIAM Journal on Control and Optimization 23 Journal of Statistical Computation and Simulation 22 International Journal of Control 22 International Journal of Computer Vision 22 SIAM/ASA Journal on Uncertainty Quantification 21 Mathematics of Computation 21 Mathematics and Computers in Simulation 20 Numerical Linear Algebra with Applications 20 The Annals of Applied Statistics 19 Journal of Fluid Mechanics 18 BIT 18 Calcolo 18 Numerische Mathematik 18 Computational Statistics 18 Mathematical Methods of Operations Research 17 Computer Physics Communications 17 Neural Computation 17 Communications in Statistics. Simulation and Computation 17 Abstract and Applied Analysis 17 Journal of the Operations Research Society of China 16 Psychometrika 16 SIAM Journal on Numerical Analysis 16 Communications in Statistics. Theory and Methods 16 Advances in Computational Mathematics 16 Quantitative Finance 16 Inverse Problems and Imaging 15 Information Sciences 15 Computer Aided Geometric Design 15 Journal of Systems Science and Complexity 15 Journal of Applied Mathematics 15 Science China. Mathematics 14 International Journal for Numerical Methods in Fluids 14 Computing 14 Journal of Econometrics 14 Journal of Inverse and Ill-Posed Problems 14 Communications in Computational Physics 14 Mathematical Geosciences 14 Journal of Computational and Graphical Statistics 13 Operations Research Letters 13 Acta Mathematicae Applicatae Sinica. English Series 13 SIAM Review 13 Applied and Computational Harmonic Analysis 13 Soft Computing 13 Numerical Algebra, Control and Optimization 12 Applied Mathematics and Optimization 12 Journal of Multivariate Analysis 12 Physica D 12 Asia-Pacific Journal of Operational Research 12 Neural Networks 12 Applied Mathematics. Series B (English Edition) 11 Journal of the Franklin Institute 11 Journal of Mathematical Analysis and Applications 11 Bulletin of Mathematical Biology ...and 413 more Serials all top 5 Cited in 54 Fields 2,803 Operations research, mathematical programming (90-XX) 2,519 Numerical analysis (65-XX) 865 Calculus of variations and optimal control; optimization (49-XX) 716 Statistics (62-XX) 561 Computer science (68-XX) 357 Mechanics of deformable solids (74-XX) 338 Partial differential equations (35-XX) 331 Systems theory; control (93-XX) 328 Fluid mechanics (76-XX) 267 Biology and other natural sciences (92-XX) 185 Information and communication theory, circuits (94-XX) 174 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 155 Linear and multilinear algebra; matrix theory (15-XX) 149 Probability theory and stochastic processes (60-XX) 130 Geophysics (86-XX) 72 Ordinary differential equations (34-XX) 71 Statistical mechanics, structure of matter (82-XX) 60 Dynamical systems and ergodic theory (37-XX) 55 Operator theory (47-XX) 55 Optics, electromagnetic theory (78-XX) 42 Mechanics of particles and systems (70-XX) 40 Quantum theory (81-XX) 33 Approximations and expansions (41-XX) 33 Classical thermodynamics, heat transfer (80-XX) 29 Differential geometry (53-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Combinatorics (05-XX) 19 Convex and discrete geometry (52-XX) 17 Real functions (26-XX) 15 Integral equations (45-XX) 15 Functional analysis (46-XX) 10 Algebraic geometry (14-XX) 9 Measure and integration (28-XX) 8 Special functions (33-XX) 7 Astronomy and astrophysics (85-XX) 6 Number theory (11-XX) 6 Difference and functional equations (39-XX) 6 Geometry (51-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Manifolds and cell complexes (57-XX) 4 Mathematics education (97-XX) 3 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 General topology (54-XX) 1 (04-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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