Combination of the sequential secant method and Broyden's method with projected updates. - José Mario Martínez; T. L. Lopes (Computing, 1980)

A Quasi-Newton method with modification of one column per iteration. - José Mario Martínez (Computing, 1984)

Solution of nonlinear systems of equations by an optimal projection method. - José Mario Martínez (Computing, 1986)

Quasi-Newton methods with factorization scaling for solving sparse nonlinear systems of equations. - José Mario Martínez (Computing, 1987)

An algorithm for solving sparse Nonlinear Least Squares problems. - José Mario Martínez (Computing, 1987)

An algorithm for solving nonlinear least-squares problems with a new curvilinear search. - José Mario Martínez; Rita Filomena Santos (Computing, 1990)

Parallel Block Triangular Decompositions for Solving Sparse Nonlinear Systems of Equations. - John E. Dennis Jr.; José Mario Martínez; Xiaodong Zhang 001 (PP, 1991)

A Numerically stable reduced-gradient type algorithm for solving large-scale linearly constrained minimization problems. - Herminio Simões Gomes; José Mario Martínez (Comput. Oper. Res., 1991)

A Curvilinear Search Using Tridiagonal Secant Updates for Unconstrained Optimization. - John E. Dennis Jr.; Nélida E. Echebest; M. T. Guardarucci; José Mario Martínez; Hugo D. Scolnik; M. C. Vacchino (SIAM J. Optim., 1991)

Parallel implementations of Broyden's method. - Francisco A. M. Gomes; José Mario Martínez (Computing, 1992)

Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations. - Márcia A. Gomes-Ruggiero; José Mario Martínez; Antônio Carlos Moretti (SIAM J. Sci. Comput., 1992)

A parallel projection method for overdetermined nonlinear systems of equations. - Maria Aparecida Diniz Ehrhardt; José Mario Martínez (Numer. Algorithms, 1993)

Triangular Decomposition Methods for Solving Reducible Nonlinear Systems of Equations. - John E. Dennis Jr.; José Mario Martínez; Xiaodong Zhang 001 (SIAM J. Optim., 1994)

On the Maximization of a Concave Quadratic Function with Box Constraints. - Ana Friedlander; José Mario Martínez (SIAM J. Optim., 1994)

On the Resolution of Linearly Constrained Convex Minimization Problems. - Ana Friedlander; José Mario Martínez; Sandra Augusta Santos (SIAM J. Optim., 1994)

Local Minimizers of Quadratic Functions on Euclidean Balls and Spheres. - José Mario Martínez (SIAM J. Optim., 1994)

Discrimination by means of a trust region method. - José Mario Martínez (Int. J. Comput. Math., 1995)

Solution of linear complementarity problems using minimization with simple bounds. - Ana Friedlander; José Mario Martínez; Sandra Augusta Santos (J. Glob. Optim., 1995)

A trust-region strategy for minimization on arbitrary domains. - José Mario Martínez; Sandra Augusta Santos (Math. Program., 1995)

A trust region method for minimization of nonsmooth functions with linear constraints. - José Mario Martínez; Antônio Carlos Moretti (Math. Program., 1996)

A minimax method with application to the initial vector coding problem. - José Mario Martínez; Lúcio Tunes Santos; Sandra Augusta Santos (Int. J. Comput. Math., 1997)

Augmented lagrangians and sphere packing problems. - José Mario Martínez (Int. J. Comput. Math., 1998)

Nonlinear programming algorithms using trust regions and augmented Lagrangians with nonmonotone penalty parameters. - Francisco A. M. Gomes; María Cristina Maciel; José Mario Martínez (Math. Program., 1999)

Validation of an Augmented Lagrangian Algorithm with a Gauss-Newton Hessian Approximation Using a Set of Hard-Spheres Problems. - Natasa Krejic; José Mario Martínez; Margarida Mello; Elvio A. Pilotta (Comput. Optim. Appl., 2000)

Reformulation of Variational Inequalities on a Simplex and Compactification of Complementarity Problems. - Roberto Andreani; José Mario Martínez (SIAM J. Optim., 2000)

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

On the solution of mathematical programming problems with equilibrium constraints. - Roberto Andreani; José Mario Martínez (Math. Methods Oper. Res., 2001)

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

A Limited-Memory Multipoint Symmetric Secant Method for Bound Constrained Optimization. - Oleg P. Burdakov; José Mario Martínez; Elvio A. Pilotta (Ann. Oper. Res., 2002)

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)

Packing optimization for automated generation of complex system's initial configurations for molecular dynamics and docking. - José Mario Martínez; Leandro Martínez (J. Comput. Chem., 2003)

Order-Value Optimization: Formulation and solution by means of a primal cauchy method. - Roberto Andreani; Cibele Dunder; José Mario Martínez (Math. Methods Oper. Res., 2003)

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

An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches. - Yu-Hong Dai; José Mario Martínez; Jin Yun Yuan (Numer. Linear Algebra Appl., 2003)

Preface. - José Mario Martínez; Jin Yun Yuan (Numer. Algorithms, 2004)

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)

Nonlinear-programming reformulation of the order-value optimization problem. - Roberto Andreani; Cibele Dunder; José Mario Martínez (Math. Methods Oper. Res., 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)

Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. - William La Cruz; José Mario Martínez; Marcos Raydan (Math. Comput., 2006)

Convergent algorithms for protein structural alignment. - Leandro Martínez; Roberto Andreani; José Mario Martínez (BMC Bioinform., 2007)

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)

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)

Continuous optimization methods for structure alignments. - Roberto Andreani; José Mario Martínez; Leandro Martínez; Flávio S. Yano (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)

Low Order-Value Optimization and applications. - Roberto Andreani; José Mario Martínez; Leandro Martínez; Flávio S. Yano (J. Glob. Optim., 2009)

Spectral Projected Gradient Method with Inexact Restoration for Minimization with Nonconvex Constraints. - Márcia A. Gomes-Ruggiero; José Mario Martínez; Sandra Augusta Santos (SIAM J. Sci. Comput., 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)

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)

Addressing the greediness phenomenon in Nonlinear Programming by means of Proximal Augmented Lagrangians. - Emerson V. Castelani; André L. M. Martinez; José Mario Martínez; Benar Fux Svaiter (Comput. Optim. Appl., 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)

A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences. - Roberto Andreani; José Mario Martínez; Benar Fux Svaiter (SIAM J. Optim., 2010)

Inexact restoration method for minimization problems arising in electronic structure calculations. - Juliano B. Francisco; José Mario Martínez; Leandro Martínez; Feodor Pisnitchenko (Comput. Optim. Appl., 2011)

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)

On the natural merit function for solving complementarity problems. - Roberto Andreani; Joaquim João Júdice; José Mario Martínez; João Patrício (Math. Program., 2011)

A projected-gradient interior-point algorithm for complementarity problems. - Roberto Andreani; Joaquim Júdice; José Mario Martínez; João Patrício (Numer. Algorithms, 2011)

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

Handling infeasibility in a large-scale nonlinear optimization algorithm. - José Mario Martínez; Leandro da Fonseca Prudente (Numer. Algorithms, 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)

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

Constrained derivative-free optimization on thin domains. - José Mario Martínez; F. N. C. Sobral (J. Glob. Optim., 2013)

Inexact Restoration Method for Derivative-Free Optimization with Smooth Constraints. - Luis Felipe Bueno; Ana Friedlander; José Mario Martínez; F. N. C. Sobral (SIAM J. Optim., 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)

On the behaviour of constrained optimization methods when Lagrange multipliers do not exist. - Roberto Andreani; José Mario Martínez; Lúcio Tunes Santos; Benar Fux Svaiter (Optim. Methods Softw., 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)

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

Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization. - José Mario Martínez; Marcos Raydan (J. Glob. Optim., 2015)

A Flexible Inexact-Restoration Method for Constrained Optimization. - Luis Felipe Bueno; Gabriel Haeser; José Mario Martínez (J. Optim. Theory Appl., 2015)

On optimization strategies for parameter estimation in models governed by partial differential equations. - Esdras P. Carvalho; Julián Martínez; José Mario Martínez; Feodor Pisnitchenko (Math. Comput. Simul., 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)

Feasibility problems with complementarity constraints. - Roberto Andreani; Joaquim João Júdice; José Mario Martínez; Tiara Martini (Eur. J. Oper. Res., 2016)

Preface to the Special Issue on Many Faces of Distances. - Carlile Lavor; Marcelo Firer; José Mario Martínez; Leo Liberti (Int. Trans. Oper. Res., 2016)

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

Inexact Restoration approach for minimization with inexact evaluation of the objective function. - Natasa Krejic; José Mario Martínez (Math. Comput., 2016)

Newton's method may fail to recognize proximity to optimal points in constrained optimization. - Roberto Andreani; José Mario Martínez; Lúcio Tunes Santos (Math. Program., 2016)

An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization. - Luis Felipe Bueno; Gabriel Haeser; José Mario Martínez (Optim. Lett., 2016)

A Cone-Continuity Constraint Qualification and Algorithmic Consequences. - Roberto Andreani; José Mario Martínez; Alberto Ramos 001; Paulo J. S. Silva (SIAM J. 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 computer model for particle-like simulation in broiler houses. - Bruno Henrique Cervelin; Dante Conti; Maria Aparecida Diniz Ehrhardt; José Mario Martínez (Comput. Electron. Agric., 2017)

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

Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization. - José Mario Martínez; Marcos Raydan (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)

On High-order Model Regularization for Constrained Optimization. - José Mario Martínez (SIAM J. Optim., 2017)

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)

Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization. - Roberto Andreani; José Mario Martínez; Alberto Ramos 001; Paulo J. S. Silva (Math. Oper. Res., 2018)

Fast convergence of an inexact interior point method for horizontal complementarity problems. - Carlos Andres Arias; José Mario Martínez (Numer. Algorithms, 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)

Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. - Carmo P. Brás; José Mario Martínez; Marcos Raydan (Comput. Optim. Appl., 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)

On the Complexity of an Inexact Restoration Method for Constrained Optimization. - Luis Felipe Bueno; José Mario Martínez (SIAM J. Optim., 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)

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

An alternating direction method of multipliers for the eigenvalue complementarity problem. - Joaquim João Júdice; Masao Fukushima; Alfredo N. Iusem; José Mario Martínez; Valentina Sessa (Optim. Methods Softw., 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)

On large-scale unconstrained optimization and arbitrary regularization. - José Mario Martínez; Lúcio Tunes Santos (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 two conjectures about Dennis-Moré conditions. - José Mario Martínez; Lúcio Tunes Santos (Numer. Algorithms, 2022)

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

On high-order model regularization for multiobjective optimization. - L. Calderón; Maria Aparecida Diniz Ehrhardt; José Mario Martínez (Optim. Methods Softw., 2022)

Group Testing With Nested Pools. - Inés Armendáriz; Pablo A. Ferrari; Daniel Fraiman; José Mario Martínez; Silvina Ponce Dawson (IEEE Trans. Inf. Theory, 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)

Levenberg-marquardt revisited and parameter tuning of river regression models. - José Mario Martínez (Comput. Appl. Math., 2024)

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

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

Obtaining analytical solutions to Saint-Venant equations using optimization tools. - José Mario Martínez (Comput. Appl. Math., 2025)