An extension of Curry's theorem to steepest descent in normed linear spaces. - Richard H. Byrd; Richard A. Tapia (Math. Program., 1975)

A Theory and Algorithmic Frame for Switch Level Simulation. - Michael R. Lightner; Gary D. Hachtel; Richard H. Byrd; Michel Heydemann (IMACS European Simulation Meeting, 1984)

An example of irregular convergence in some constrained optimization methods that use the projected hessian. - Richard H. Byrd (Math. Program., 1985)

Continuity of the null space basis and constrained optimization. - Richard H. Byrd; Robert B. Schnabel (Math. Program., 1986)

Technical Note - Recognizing Unbounded Integer Programs. - Richard H. Byrd; Alan J. Goldman; Miriam Heller (Oper. Res., 1987)

Parallel quasi-Newton methods for unconstrained optimization. - Richard H. Byrd; Robert B. Schnabel; Gerald A. Shultz (Math. Program., 1988)

Approximate solution of the trust region problem by minimization over two-dimensional subspaces. - Richard H. Byrd; Robert B. Schnabel; Gerald A. Shultz (Math. Program., 1988)

Algorithm 676: ODRPACK: software for weighted orthogonal distance regression. - Paul T. Boggs; Janet R. Donaldson; Richard H. Byrd; Robert B. Schnabel (ACM Trans. Math. Softw., 1989)

Concurrent Stochastic Methods for Global Optimization. - Richard H. Byrd; Cornelius L. Dert; Alexander H. G. Rinnooy Kan; Robert B. Schnabel (Math. Program., 1990)

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

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

An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization. - Richard H. Byrd; Richard A. Tapia; Yin Zhang 010 (SIAM J. Optim., 1992)

Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations. - Xiaodong Zhang 001; Richard H. Byrd; Robert B. Schnabel (SIAM J. Sci. Comput., 1992)

Parallel Global Optimization Methods for Molecular Configuration Problems. - Richard H. Byrd; Thomas Derby; Elizabeth Eskow; Klaas P. B. Oldenkamp; Robert B. Schnabel; Christos Triantafillou (PPSC, 1993)

A Theoretical and Experimental Study of the Symmetric Rank-One Update. - Humaid Khalfan; Richard H. Byrd; Robert B. Schnabel (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)

Global optimization methods for protein folding problems. - Richard H. Byrd; Elizabeth Eskow; André van der Hoek; Robert B. Schnabel; Chung-Shang Shao; Zhihong Zou (Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding, 1995)

A Parallel Global Optimization Method for Solving Molecular Cluster and Polymer Conformation Problems. - Richard H. Byrd; Elizabeth Eskow; André van der Hoek; Robert B. Schnabel; Klaas P. B. Oldenkamp (PP, 1995)

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

Analysis of a Symmetric Rank-One Trust Region Method. - Richard H. Byrd; Humaid Khalfan; Robert B. Schnabel (SIAM J. Optim., 1996)

A Stochastic/Perturbation Global Optimization Algorithm for Distance Geometry Problems. - Zhihong Zou; Richard H. Byrd; Robert B. Schnabel (J. Glob. Optim., 1997)

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)

A Hierarchical Approach for Parallelization of a Global Optimization Method for Protein Structure Prediction. - Silvia N. Crivelli; Teresa Head-Gordon; Richard H. Byrd; Elizabeth Eskow; Robert B. Schnabel (Euro-Par, 1999)

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

Practical Update Criteria for Reduced Hessian SQP: Global Analysis. - Yuanfu Xie; Richard H. Byrd (SIAM J. Optim., 1999)

A Global Optimization Strategy for Predicting -helical Protein Tertiary Structure. - Silvia N. Crivelli; Richard H. Byrd; Elizabeth Eskow; Robert B. Schnabel; Richard Yu; Thomas M. Philip; Teresa Head-Gordon (Comput. Chem., 2000)

Global Optimization For Molecular Clusters Using A New Smoothing Approach. - Chung-Shang Shao; Richard H. Byrd; Elizabeth Eskow; Robert B. Schnabel (J. Glob. Optim., 2000)

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

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

Domain Decomposition Methods for PDE Constrained Optimization Problems. - Ernesto E. Prudencio; Richard H. Byrd; Xiao-Chuan Cai (VECPAR, 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)

An optimization approach to the problem of protein structure prediction. - Elizabeth Eskow; Brett W. Bader; Richard H. Byrd; Silvia N. Crivelli; Teresa Head-Gordon; Vincent Lamberti; Robert B. Schnabel (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)

Parallel Full Space SQP Lagrange-Newton-Krylov-Schwarz Algorithms for PDE-Constrained Optimization Problems. - Ernesto E. Prudencio; Richard H. Byrd; Xiao-Chuan Cai (SIAM J. Sci. Comput., 2006)

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)

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)

An active-set algorithm for nonlinear programming using parametric linear programming. - Richard H. Byrd; Richard A. Waltz (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)

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)

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

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

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

Adaptive, Limited-Memory BFGS Algorithms for Unconstrained Optimization. - Paul T. Boggs; Richard H. Byrd (SIAM J. Optim., 2019)

Extending the Pennisi-McCormick Second-Order Sufficiency Theory for Nonlinear Programming to Infinite Dimensions. - Richard H. Byrd; Jorio Cocola; Richard A. Tapia (SIAM J. Optim., 2019)

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)

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