Nonmonotone Spectral Projected Gradient Methods on Convex Sets. - Ernesto G. Birgin; José Mario Martínez; Marcos Raydan (SIAM J. Optim., 2000)

Algorithm 813: SPG - Software for Convex-Constrained Optimization. - Ernesto G. Birgin; José Mario Martínez; Marcos Raydan (ACM Trans. Math. Softw., 2001)

Large-Scale Active-Set Box-Constrained Optimization Method with Spectral Projected Gradients. - Ernesto G. Birgin; José Mario Martínez (Comput. Optim. Appl., 2002)

Minimization subproblems and heuristics for an applied clustering problem. - Ernesto G. Birgin; José Mario Martínez; Débora P. Ronconi (Eur. J. Oper. Res., 2003)

Solution of Bounded Nonlinear Systems of Equations Using Homotopies with Inexact Restoration. - Ernesto G. Birgin; Natasa Krejic; José Mario Martínez (Int. J. Comput. Math., 2003)

Globally Convergent Inexact Quasi-Newton Methods for Solving Nonlinear Systems. - Ernesto G. Birgin; Natasa Krejic; José Mario Martínez (Numer. Algorithms, 2003)

Numerical Comparison of Augmented Lagrangian Algorithms for Nonconvex Problems. - Ernesto G. Birgin; R. A. Castillo; José Mario Martínez (Comput. Optim. Appl., 2005)

Optimizing the packing of cylinders into a rectangular container: A nonlinear approach. - Ernesto G. Birgin; José Mario Martínez; Débora P. Ronconi (Eur. J. Oper. Res., 2005)

A note on an L-approach for solving the manufacturer's pallet loading problem. - Ernesto G. Birgin; Reinaldo Morabito; F. H. Nishihara (J. Oper. Res. Soc., 2005)

Robust Stopping Criteria for Dykstra's Algorithm. - Ernesto G. Birgin; Marcos Raydan (SIAM J. Sci. Comput., 2005)

Orthogonal packing of rectangular items within arbitrary convex regions by nonlinear optimization. - Ernesto G. Birgin; José Mario Martínez; F. H. Nishihara; Débora P. Ronconi (Comput. Oper. Res., 2006)

Method of sentinels for packing items within arbitrary convex regions. - Ernesto G. Birgin; José Mario Martínez; Walter F. Mascarenhas; Débora P. Ronconi (J. Oper. Res. Soc., 2006)

On Augmented Lagrangian Methods with General Lower-Level Constraints. - Roberto Andreani; Ernesto G. Birgin; José Mario Martínez; María Laura Schuverdt (SIAM J. Optim., 2007)

Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization. - Ernesto G. Birgin; José Mario Martínez (Comput. Optim. Appl., 2008)

Minimizing the object dimensions in circle and sphere packing problems. - Ernesto G. Birgin; F. N. C. Sobral (Comput. Oper. Res., 2008)

Augmented Lagrangian methods under the constant positive linear dependence constraint qualification. - Roberto Andreani; Ernesto G. Birgin; José Mario Martínez; María Laura Schuverdt (Math. Program., 2008)

Improving ultimate convergence of an augmented Lagrangian method. - Ernesto G. Birgin; José Mario Martínez (Optim. Methods Softw., 2008)

PACKMOL: A package for building initial configurations for molecular dynamics simulations. - Leandro Martínez; Ricardo Andrade; Ernesto G. Birgin; José Mario Martínez (J. Comput. Chem., 2009)

Practical Augmented Lagrangian Methods. - Ernesto G. Birgin; José Mario Martínez (Encyclopedia of Optimization, 2009)

Marcos Raydan: Spectral Projected Gradient Methods. - Ernesto G. Birgin; José Mario Martínez (Encyclopedia of Optimization, 2009)

Dykstra's Algorithm and Robust Stopping Criteria. - Ernesto G. Birgin; Marcos Raydan (Encyclopedia of Optimization, 2009)

Orthogonal packing of identical rectangles within isotropic convex regions. - Ernesto G. Birgin; Rafael D. Lobato (Comput. Ind. Eng., 2010)

Second-order negative-curvature methods for box-constrained and general constrained optimization. - Roberto Andreani; Ernesto G. Birgin; José Mario Martínez; María Laura Schuverdt (Comput. Optim. Appl., 2010)

Preface. - Ernesto G. Birgin (Comput. Optim. Appl., 2010)

New and improved results for packing identical unitary radius circles within triangles, rectangles and strips. - Ernesto G. Birgin; Jan M. Gentil (Comput. Oper. Res., 2010)

Continuous GRASP with a local active-set method for bound-constrained global optimization. - Ernesto G. Birgin; Erico M. Gozzi; Mauricio G. C. Resende; Ricardo M. A. Silva (J. Glob. Optim., 2010)

An effective recursive partitioning approach for the packing of identical rectangles in a rectangle. - Ernesto G. Birgin; Rafael D. Lobato; Reinaldo Morabito (J. Oper. Res. Soc., 2010)

Global minimization using an Augmented Lagrangian method with variable lower-level constraints. - Ernesto G. Birgin; Christodoulos A. Floudas; José Mario Martínez (Math. Program., 2010)

Partial spectral projected gradient method with active-set strategy for linearly constrained optimization. - Marina Andretta; Ernesto G. Birgin; José Mario Martínez (Numer. Algorithms, 2010)

Low order-value approach for solving VaR-constrained optimization problems. - Ernesto G. Birgin; Luis Felipe Bueno; Natasa Krejic; José Mario Martínez (J. Glob. Optim., 2011)

Outer Trust-Region Method for Constrained Optimization. - Ernesto G. Birgin; Emerson V. Castelani; André L. M. Martinez; José Mario Martínez (J. Optim. Theory Appl., 2011)

Evaluating bound-constrained minimization software. - Ernesto G. Birgin; Jan M. Gentil (Comput. Optim. Appl., 2012)

Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. - Ernesto G. Birgin; José Mario Martínez (Comput. Optim. Appl., 2012)

Generating unconstrained two-dimensional non-guillotine cutting patterns by a Recursive Partitioning Algorithm. - Ernesto G. Birgin; Rafael D. Lobato; Reinaldo Morabito (J. Oper. Res. Soc., 2012)

The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems. - Ernesto G. Birgin; Damián R. Fernández; José Mario Martínez (Optim. Methods Softw., 2012)

Deterministic and stochastic global optimization techniques for planar covering with ellipses problems. - Marina Andretta; Ernesto G. Birgin (Eur. J. Oper. Res., 2013)

Packing circles within ellipses. - Ernesto G. Birgin; Luis Henrique Bustamante; Hector Flores Callisaya; José Mario Martínez (Int. Trans. Oper. Res., 2013)

Symmetry-breaking constraints for packing identical rectangles within polyhedra. - Ricardo Andrade; Ernesto G. Birgin (Optim. Lett., 2013)

Practical augmented Lagrangian methods for constrained optimization. - Ernesto G. Birgin; José Mario Martínez (SIAM, 2014)

Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming. - Ernesto G. Birgin; José Mario Martínez; Leandro da Fonseca Prudente (J. Glob. Optim., 2014)

MIP models for two-dimensional non-guillotine cutting problems with usable leftovers. - Ricardo Andrade; Ernesto G. Birgin; Reinaldo Morabito; Débora P. Ronconi (J. Oper. Res. Soc., 2014)

A MILP model for an extended version of the Flexible Job Shop Problem. - Ernesto G. Birgin; Paulo Feofiloff; Cristina G. Fernandes; Everton L. de Melo; Marcio T. I. Oshiro; Débora P. Ronconi (Optim. Lett., 2014)

Optimality properties of an Augmented Lagrangian method on infeasible problems. - Ernesto G. Birgin; José Mario Martínez; Leandro da Fonseca Prudente (Comput. Optim. Appl., 2015)

List scheduling and beam search methods for the flexible job shop scheduling problem with sequencing flexibility. - Ernesto G. Birgin; João Eduardo Ferreira; Débora P. Ronconi (Eur. J. Oper. Res., 2015)

Metaheuristics for large-scale instances of the linear ordering problem. - Celso S. Sakuraba; Débora P. Ronconi; Ernesto G. Birgin; Mutsunori Yagiura (Expert Syst. Appl., 2015)

Assessing the reliability of general-purpose Inexact Restoration methods. - Ernesto G. Birgin; Luis Felipe Bueno; José Mario Martínez (J. Comput. Appl. Math., 2015)

Sequential equality-constrained optimization for nonlinear programming. - Ernesto G. Birgin; Luis Felipe Bueno; José Mario Martínez (Comput. Optim. Appl., 2016)

On the application of an Augmented Lagrangian algorithm to some portfolio problems. - Ernesto G. Birgin; José Mario Martínez (EURO J. Comput. Optim., 2016)

Two-stage two-dimensional guillotine cutting stock problems with usable leftover. - Ricardo Andrade; Ernesto G. Birgin; Reinaldo Morabito (Int. Trans. Oper. Res., 2016)

Packing ellipsoids by nonlinear optimization. - Ernesto G. Birgin; Rafael D. Lobato; José Mario Martínez (J. Glob. Optim., 2016)

Evaluation Complexity for Nonlinear Constrained Optimization Using Unscaled KKT Conditions and High-Order Models. - Ernesto G. Birgin; John Lenon Cardoso Gardenghi; José Mario Martínez; Sandra A. Santos 001; Philippe L. Toint (SIAM J. Optim., 2016)

A nonlinear programming model with implicit variables for packing ellipsoids. - Ernesto G. Birgin; Rafael D. Lobato; José Mario Martínez (J. Glob. Optim., 2017)

Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. - Ernesto G. Birgin; John Lenon Cardoso Gardenghi; José Mario Martínez; Sandra Augusta Santos; Philippe L. Toint (Math. Program., 2017)

On the minimization of possibly discontinuous functions by means of pointwise approximations. - Ernesto G. Birgin; Natasa Krejic; José Mario Martínez (Optim. Lett., 2017)

The Use of Quadratic Regularization with a Cubic Descent Condition for Unconstrained Optimization. - Ernesto G. Birgin; José Mario Martínez (SIAM J. Optim., 2017)

Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points. - Ernesto G. Birgin; Gabriel Haeser; Alberto Ramos 001 (Comput. Optim. Appl., 2018)

On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors. - Ernesto G. Birgin; Natasa Krejic; José Mario Martínez (Math. Comput., 2018)

On Regularization and Active-set Methods with Complexity for Constrained Optimization. - Ernesto G. Birgin; José Mario Martínez (SIAM J. Optim., 2018)

A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. - Ernesto G. Birgin; José Mario Martínez (Comput. Optim. Appl., 2019)

A matheuristic approach with nonlinear subproblems for large-scale packing of ellipsoids. - Ernesto G. Birgin; Rafael D. Lobato (Eur. J. Oper. Res., 2019)

An Augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problem. - Ernesto G. Birgin; Walter Gómez; Gabriel Haeser; Leonardo M. Mito; Daiana O. Santos (Comput. Appl. Math., 2020)

Preface of the special issue dedicated to the XII Brazilian workshop on continuous optimization. - Ernesto G. Birgin (Comput. Optim. Appl., 2020)

A filtered beam search method for the m-machine permutation flowshop scheduling problem minimizing the earliness and tardiness penalties and the waiting time of the jobs. - Ernesto G. Birgin; João Eduardo Ferreira; Débora P. Ronconi (Comput. Oper. Res., 2020)

Mixed Integer linear programming and constraint programming models for the online printing shop scheduling problem. - Willian T. Lunardi; Ernesto G. Birgin; Philippe Laborie; Débora P. Ronconi; Holger Voos (Comput. Oper. Res., 2020)

The multiperiod two-dimensional non-guillotine cutting stock problem with usable leftovers. - Ernesto G. Birgin; Oberlan Christo Romão; Débora P. Ronconi (Int. Trans. Oper. Res., 2020)

Models for the two-dimensional rectangular single large placement problem with guillotine cuts and constrained pattern. - Mateus Martin; Ernesto G. Birgin; Rafael D. Lobato; Reinaldo Morabito; Pedro Munari (Int. Trans. Oper. Res., 2020)

Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact. - Ernesto G. Birgin; Natasa Krejic; José Mario Martínez (Math. Comput., 2020)

On the use of third-order models with fourth-order regularization for unconstrained optimization. - Ernesto G. Birgin; John Lenon Cardoso Gardenghi; José Mario Martínez; Sandra A. Santos 001 (Optim. Lett., 2020)

Complexity and performance of an Augmented Lagrangian algorithm. - Ernesto G. Birgin; José Mario Martínez (Optim. Methods Softw., 2020)

Accelerated derivative-free spectral residual method for nonlinear systems of equations. - Ernesto G. Birgin; John Lenon Cardoso Gardenghi; Diaulas S. Marcondes; José Mario Martínez (CoRR, 2021)

Metaheuristics for the online printing shop scheduling problem. - Willian T. Lunardi; Ernesto G. Birgin; Débora P. Ronconi; Holger Voos (Eur. J. Oper. Res., 2021)

On constrained optimization with nonconvex regularization. - Ernesto G. Birgin; José Mario Martínez; Alberto Ramos 001 (Numer. Algorithms, 2021)

A Shape Optimization Approach to the Problem of Covering a Two-Dimensional Region with Minimum-Radius Identical Balls. - Ernesto G. Birgin; Antoine Laurain; Rafael Massambone; Arthur G. Santana (SIAM J. Sci. Comput., 2021)

Accelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficients. - Ernesto G. Birgin; José Mario Martínez (Comput. Optim. Appl., 2022)

Block coordinate descent for smooth nonconvex constrained minimization. - Ernesto G. Birgin; José Mario Martínez (Comput. Optim. Appl., 2022)

Inexact restoration for derivative-free expensive function minimization and applications. - Ernesto G. Birgin; Natasa Krejic; José Mario Martínez (J. Comput. Appl. Math., 2022)

On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization. - V. S. Amaral; Roberto Andreani; Ernesto G. Birgin; Diaulas S. Marcondes; José Mario Martínez (J. Glob. Optim., 2022)

On the complexity of solving feasibility problems with regularized models. - Ernesto G. Birgin; Luis Felipe Bueno; José Mario Martínez (Optim. Methods Softw., 2022)

A Shape-Newton Approach to the Problem of Covering with Identical Balls. - Ernesto G. Birgin; Antoine Laurain; Rafael Massambone; Arthur G. Santana (SIAM J. Sci. Comput., 2022)

Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations. - Ernesto G. Birgin; José Mario Martínez (SIAM J. Numer. Anal., 2022)

Sensitivity analysis and tailored design of minimization diagrams. - Ernesto G. Birgin; Antoine Laurain; T. Menezes (Math. Comput., 2023)

Relax-and-Fix Heuristics Applied to a Real-World Lot Sizing and Scheduling Problem in the Personal Care Consumer Goods Industry. - K. A. G. Araujo; Ernesto G. Birgin; M. S. Kawamura; Débora P. Ronconi (Oper. Res. Forum, 2023)

A forward-looking matheuristic approach for the multi-period two-dimensional non-guillotine cutting stock problem with usable leftovers. - Ernesto G. Birgin; Oberlan Christo Romão; Débora P. Ronconi (Expert Syst. Appl., 2023)

Bounds on the Optimal Radius When Covering a Set with Minimum Radius Identical Disks. - Ernesto G. Birgin; John L. C. Gardenghi; Antoine Laurain (Math. Oper. Res., 2024)

A PDE-informed optimization algorithm for river flow predictions. - Ernesto G. Birgin; José Mario Martínez (Numer. Algorithms, 2024)

A first-order regularized approach to the order-value optimization problem. - G. Q. Álvarez; Ernesto G. Birgin (Optim. Methods Softw., 2025)

Safeguarded augmented Lagrangian algorithms with scaled stopping criterion for the subproblems. - Ernesto G. Birgin; Gabriel Haeser; José Mario Martínez (Comput. Optim. Appl., 2025)

On the Global Convergence of a General Class of Augmented Lagrangian Methods. - Ernesto G. Birgin; Gabriel Haeser; Nelson Maculan; Lennin Mallma Ramirez (J. Optim. Theory Appl., 2025)