Analysis of a new algorithm for one-dimensional minimization. - Petter Bjørstad; Jorge Nocedal (Computing, 1979)

Conjugate direction methods with variable storage. - Larry Nazareth; Jorge Nocedal (Math. Program., 1982)

Evaluation of Step Directions in Optimization Algorithms. - William C. Davidon; Jorge Nocedal (ACM Trans. Math. Softw., 1985)

On the limited memory BFGS method for large scale optimization. - Dong C. Liu; Jorge Nocedal (Math. Program., 1989)

An analysis of reduced Hessian methods for constrained optimization. - Richard H. Byrd; Jorge Nocedal (Math. Program., 1991)

A Numerical Study of the Limited Memory BFGS Method and the Truncated-Newton Method for Large Scale Optimization. - Stephen G. Nash; Jorge Nocedal (SIAM J. Optim., 1991)

On the Behavior of Broyden's Class of Quasi-Newton Methods. - Richard H. Byrd; Dong C. Liu; Jorge Nocedal (SIAM J. Optim., 1992)

Global Convergence Properties of Conjugate Gradient Methods for Optimization. - Jean Charles Gilbert; Jorge Nocedal (SIAM J. Optim., 1992)

Analysis of a self-scaling quasi-Newton method. - Jorge Nocedal; Ya-Xiang Yuan (Math. Program., 1993)

Automatic Column Scaling Strategies for Quasi-Newton Methods. - Marucha Lalee; Jorge Nocedal (SIAM J. Optim., 1993)

Representations of quasi-Newton matrices and their use in limited memory methods. - Richard H. Byrd; Jorge Nocedal; Robert B. Schnabel (Math. Program., 1994)

A Reduced Hessian Method for Large-Scale Constrained Optimization. - Lorenz T. Biegler; Jorge Nocedal; Claudia Schmid (SIAM J. Optim., 1995)

A Limited Memory Algorithm for Bound Constrained Optimization. - Richard H. Byrd; Peihuang Lu; Jorge Nocedal; Ciyou Zhu (SIAM J. Sci. Comput., 1995)

Algorithm 778: L-BFGS-B: Fortran Subroutines for Large-Scale Bound-Constrained Optimization. - Ciyou Zhu; Richard H. Byrd; Peihuang Lu; Jorge Nocedal (ACM Trans. Math. Softw., 1997)

On the Implementation of an Algorithm for Large-Scale Equality Constrained Optimization. - Marucha Lalee; Jorge Nocedal; Todd D. Plantenga (SIAM J. Optim., 1998)

Numerical Optimization - Jorge Nocedal; Stephen J. Wright 001 (Springer, 1999)

An Interior Point Algorithm for Large-Scale Nonlinear Programming. - Richard H. Byrd; Mary E. Hribar; Jorge Nocedal (SIAM J. Optim., 1999)

Numerical Experience with a Reduced Hessian Method for Large Scale Constrained Optimization. - Lorenz T. Biegler; Jorge Nocedal; Claudia Schmid; David Ternet (Comput. Optim. Appl., 2000)

A trust region method based on interior point techniques for nonlinear programming. - Richard H. Byrd; Jean Charles Gilbert; Jorge Nocedal (Math. Program., 2000)

Automatic Preconditioning by Limited Memory Quasi-Newton Updating. - José Luis Morales; Jorge Nocedal (SIAM J. Optim., 2000)

On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization. - Nicholas I. M. Gould; Mary E. Hribar; Jorge Nocedal (SIAM J. Sci. Comput., 2001)

Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method. - José Luis Morales; Jorge Nocedal (ACM Trans. Math. Softw., 2001)

Enriched Methods for Large-Scale Unconstrained Optimization. - José Luis Morales; Jorge Nocedal (Comput. Optim. Appl., 2002)

On the Behavior of the Gradient Norm in the Steepest Descent Method. - Jorge Nocedal; Annick Sartenaer; Ciyou Zhu (Comput. Optim. Appl., 2002)

Wedge trust region methods for derivative free optimization. - Marcelo Marazzi; Jorge Nocedal (Math. Program., 2002)

Solving Optimization Problems Using Parallel and Grid Computing. - Jorge Nocedal (ENC, 2003)

Feasible Interior Methods Using Slacks for Nonlinear Optimization. - Richard H. Byrd; Jorge Nocedal; Richard A. Waltz (Comput. Optim. Appl., 2003)

A starting point strategy for nonlinear interior methods. - E. Michael Gertz; Jorge Nocedal; Annick Sartenaer (Appl. Math. Lett., 2004)

An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. - Richard H. Byrd; Nicholas I. M. Gould; Jorge Nocedal; Richard A. Waltz (Math. Program., 2004)

On the convergence of Newton iterations to non-stationary points. - Richard H. Byrd; Marcelo Marazzi; Jorge Nocedal (Math. Program., 2004)

On the Convergence of Successive Linear-Quadratic Programming Algorithms. - Richard H. Byrd; Nicholas I. M. Gould; Jorge Nocedal; Richard A. Waltz (SIAM J. Optim., 2005)

A Numerical Study of Active-Set and Interior-Point Methods for Bound Constrained Optimization. - Long Hei; Jorge Nocedal; Richard A. Waltz (HPSC, 2006)

An interior algorithm for nonlinear optimization that combines line search and trust region steps. - Richard A. Waltz; José Luis Morales; Jorge Nocedal; Dominique Orban (Math. Program., 2006)

Interior Methods for Mathematical Programs with Complementarity Constraints. - Sven Leyffer; Gabriel López-Calva; Jorge Nocedal (SIAM J. Optim., 2006)

Steplength selection in interior-point methods for quadratic programming. - Frank E. Curtis; Jorge Nocedal (Appl. Math. Lett., 2007)

An algorithm for the fast solution of symmetric linear complementarity problems. - José Luis Morales; Jorge Nocedal; Mikhail Smelyanskiy (Numerische Mathematik, 2008)

Steering exact penalty methods for nonlinear programming. - Richard H. Byrd; Jorge Nocedal; Richard A. Waltz (Optim. Methods Softw., 2008)

An Inexact SQP Method for Equality Constrained Optimization. - Richard H. Byrd; Frank E. Curtis; Jorge Nocedal (SIAM J. Optim., 2008)

Fast and parallel algorithms for pricing American options: keynote. - Jorge Nocedal (SC-WHPCF, 2009)

On the geometry phase in model-based algorithms for derivative-free optimization. - Giovanni Fasano; José Luis Morales; Jorge Nocedal (Optim. Methods Softw., 2009)

A Matrix-Free Algorithm for Equality Constrained Optimization Problems with Rank-Deficient Jacobians. - Frank E. Curtis; Jorge Nocedal; Andreas Wächter (SIAM J. Optim., 2009)

Adaptive Barrier Update Strategies for Nonlinear Interior Methods. - Jorge Nocedal; Andreas Wächter; Richard A. Waltz (SIAM J. Optim., 2009)

An inexact Newton method for nonconvex equality constrained optimization. - Richard H. Byrd; Frank E. Curtis; Jorge Nocedal (Math. Program., 2010)

Infeasibility Detection and SQP Methods for Nonlinear Optimization. - Richard H. Byrd; Frank E. Curtis; Jorge Nocedal (SIAM J. Optim., 2010)

On the solution of complementarity problems arising in American options pricing. - Liming Feng; Vadim Linetsky; José Luis Morales; Jorge Nocedal (Optim. Methods Softw., 2011)

On the Use of Stochastic Hessian Information in Optimization Methods for Machine Learning. - Richard H. Byrd; Gillian M. Chin; Will Neveitt; Jorge Nocedal (SIAM J. Optim., 2011)

Remark on "algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization". - José Luis Morales; Jorge Nocedal (ACM Trans. Math. Softw., 2011)

Second-order methods for L1 regularized problems in machine learning. - Samantha Hansen; Jorge Nocedal (ICASSP, 2012)

Newton-Like Methods for Sparse Inverse Covariance Estimation. - Peder A. Olsen; Figen Öztoprak; Jorge Nocedal; Steven J. Rennie (NIPS, 2012)

Sample size selection in optimization methods for machine learning. - Richard H. Byrd; Gillian M. Chin; Jorge Nocedal; Yuchen Wu (Math. Program., 2012)

A line search exact penalty method using steering rules. - Richard H. Byrd; Gabriel López-Calva; Jorge Nocedal (Math. Program., 2012)

On the use of piecewise linear models in nonlinear programming. - Richard H. Byrd; Jorge Nocedal; Richard A. Waltz; Yuchen Wu (Math. Program., 2013)

Subspace Accelerated Matrix Splitting Algorithms for Asymmetric and Symmetric Linear Complementarity Problems. - Daniel P. Robinson; Liming Feng; Jorge Nocedal; Jong-Shi Pang (SIAM J. Optim., 2013)

Second Order Methods for Optimizing Convex Matrix Functions and Sparse Covariance Clustering. - Gillian M. Chin; Jorge Nocedal; Peder A. Olsen; Steven J. Rennie (IEEE Trans. Speech Audio Process., 2013)

An interior point method for nonlinear programming with infeasibility detection capabilities. - Jorge Nocedal; Figen Öztoprak; Richard A. Waltz (Optim. Methods Softw., 2014)

An algorithm for quadratic ℓ1-regularized optimization with a flexible active-set strategy. - Stefan Solntsev; Jorge Nocedal; Richard H. Byrd (Optim. Methods Softw., 2015)

A Multi-Batch L-BFGS Method for Machine Learning. - Albert S. Berahas; Jorge Nocedal; Martin Takác 001 (NIPS, 2016)

A family of second-order methods for convex ℓ1-regularized optimization. - Richard H. Byrd; Gillian M. Chin; Jorge Nocedal; Figen Öztoprak (Math. Program., 2016)

An inexact successive quadratic approximation method for L-1 regularized optimization. - Richard H. Byrd; Jorge Nocedal; Figen Öztoprak (Math. Program., 2016)

A second-order method for convex l1-regularized optimization with active-set prediction. - Nitish Shirish Keskar; Jorge Nocedal; Figen Öztoprak; Andreas Wächter (Optim. Methods Softw., 2016)

A Stochastic Quasi-Newton Method for Large-Scale Optimization. - Richard H. Byrd; S. L. Hansen; Jorge Nocedal; Yoram Singer (SIAM J. Optim., 2016)

On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima. - Nitish Shirish Keskar; Dheevatsa Mudigere; Jorge Nocedal; Mikhail Smelyanskiy; Ping Tak Peter Tang (ICLR, 2017)

A Progressive Batching L-BFGS Method for Machine Learning. - Raghu Bollapragada; Dheevatsa Mudigere; Jorge Nocedal; Hao-Jun Michael Shi; Ping Tak Peter Tang (ICML, 2018)

Adaptive Sampling Strategies for Stochastic Optimization. - Raghu Bollapragada; Richard H. Byrd; Jorge Nocedal (SIAM J. Optim., 2018)

Optimization Methods for Large-Scale Machine Learning. - Léon Bottou; Frank E. Curtis; Jorge Nocedal (SIAM Rev., 2018)

Derivative-Free Optimization of Noisy Functions via Quasi-Newton Methods. - Albert S. Berahas; Richard H. Byrd; Jorge Nocedal (SIAM J. Optim., 2019)

An investigation of Newton-Sketch and subsampled Newton methods. - Albert S. Berahas; Raghu Bollapragada; Jorge Nocedal (Optim. Methods Softw., 2020)

Analysis of the BFGS Method with Errors. - Yuchen Xie; Richard H. Byrd; Jorge Nocedal (SIAM J. Optim., 2020)

A Noise-Tolerant Quasi-Newton Algorithm for Unconstrained Optimization. - Hao-Jun Michael Shi; Yuchen Xie; Richard H. Byrd; Jorge Nocedal (SIAM J. Optim., 2022)

Adaptive Finite-Difference Interval Estimation for Noisy Derivative-Free Optimization. - Hao-Jun Michael Shi; Yuchen Xie; Melody Qiming Xuan; Jorge Nocedal (SIAM J. Sci. Comput., 2022)

On the numerical performance of finite-difference-based methods for derivative-free optimization. - Hao-Jun Michael Shi; Melody Qiming Xuan; Figen Öztoprak; Jorge Nocedal (Optim. Methods Softw., 2023)

Constrained Optimization in the Presence of Noise. - Figen Öztoprak; Richard H. Byrd; Jorge Nocedal (SIAM J. Optim., 2023)

A trust region method for noisy unconstrained optimization. - Shigeng Sun; Jorge Nocedal (Math. Program., 2023)

Noise-Tolerant Optimization Methods for the Solution of a Robust Design Problem. - Yuchen Lou; Shigeng Sun; Jorge Nocedal (CoRR, 2024)

A Trust-Region Algorithm for Noisy Equality Constrained Optimization. - Shigeng Sun; Jorge Nocedal (CoRR, 2024)

Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design. - Yuchen Lou; Shigeng Sun; Jorge Nocedal (SIAM J. Sci. Comput., 2025)