Refereed Publications

Warning: If you cannot download a technical report please write to martinez@ime.unicamp.br

E. G. Birgin, L. F. Bueno, and J. M. Martínez. On the complexity of solving feasibility problems using regularized models. Optmimization methods and software, to appear.

E. G. Birgin, J. M. Martínez, Complexity and performance of an Augmented Lagrangian method, Optimization methods and software 35, pp. 85--920, 2020.

E. G. Birgin, J. L. Gardenghi, J. M. Martínez, S. A. Santos, On the solution of linearly constrained optimization problems by means of barrier algorithms, TOP, to appear.

E. G. Birgin, J. M. Martínez, A. Ramos, On constrained optimization with nonconvex regularization, Numerical Algorithms, to appear.

C. P. Bras, J. M. Martínez, M. Raydan, Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization, Computational Optimization and Applications 75, pp. 169--205, 2020..

L. F. Bueno, J. M. Martínez. On the Complexity of an Inexact Restoration Method for Constrained Optimization, SIAM Journal on Optimization 30, pp. 80-101, 2020.

E. G. Birgin, J. M. Martínez. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. To appear in Computational Optimization and Applications.

E. G. Birgin, N. Kreji\'c, J. M. Martínez. Iteration and evaluation complexity on the minimization of functions whose computation is intrinsically inexact. To appear in Mathematics of Computation.

J. M. Martínez. On High-Order Model Regularization for Constrained Optimization. To appear in SIAM Journal on Optimization.

C. A. Arias and J. M. Martínez. Fast convergence of an Inexact-Interior point method for Horizontal complementarity probems. Numerical Algorithms 79, pp. 1187-1210, 2018.

T. Martini dos Santos, L. Reips, J. M. Martínez. Under Relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from Positron-Emission Tomography, Journal of Inverse and Ill-Posed Problems 26, pp. 755-770, 2018. doi:10.1515/jiip-2016-0058.

B. Cervelin, D. Conti, M. A. Diniz-Ehrhardt, and J. M. Martínez. A Computer Model for Particle-like Simulation in Broiler Houses. Computers and Electronics in Agriculture, to appear.

B. Cervelin, D. Conti, D. T. Detsch, M. A. Diniz-Ehrhardt, and J. M. Martínez. Fitting parameters for a temperature control model by means of continuous derivative-free optimization: a case study in a broiler house. Bulletin of Computational Applied Mathematics, to appear.

R. Andreani, J. M. Martínez, A. Ramos, and P. J. S. Silva. Strict constraint qualifications and sequential optimality conditions for constrained optimization. Mathematics of Operations Research, to appear.

E. G. Birgin, J. M. Martínez.The use of quadratic regularization with a cubic descent condition for unconstrained optimization, SIAM Journal on Optimization 27, pp. 1049-1074, 2017.

E. G. Birgin, N. Krejic, J. M. Martinez. On the employment of Inexact Restoration for the minimization of functions whose evaluation is subject to errors, Mathematics of Computation 87, pp. 1307--1326, 2018.

E. G. Birgin, R. Lobato, J. M. Martínez. Constrained optimization with integer and continuous variables using inexact restoration and projected gradients, Computational Applied Mathematics (CompAMa) 4, pp. 1--17, 2016.

E. G. Birgin, R. Lobato, J. M. Martínez. A nonlinear programming model with implicit variables for packing ellipsoids, Journal of Global Optimization 68, pp. 461--499, 2017.

E. G. Birgin and J. M. Martínez. Practical Augmented Lagrangian Methods for Constrained Otimization. (Book) SIAM Publications, Series: Fundamentals of Algorithms, Philadelphia, 2014.

R. Andreani, J. M. Martínez, L. T. Santos. Newton's method may fail to recognize proximity to optimal points in constrained optimization. Mathematical Programming 160, pp. 547--555, 2016.

E. G. Birgin, R. Lobato, J. M. Martínez. Constrained optimization with integer and continuous variables using inexact restoration and projected gradients, Computational Applied Mathematics (CompAMa) 4, pp. 1--17, 2016.

J. M. Martínez, M. Raydan. Cubic-regularization counterpart of a variable-norm trust- region method for unconstrained minimization, Journal of Global Optimization 68, pp. 367--385, 2017.

E. G. Birgin, J. L. Gardenghi, J. M. Martínez, S. A. Santos, Ph. L. Toint Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models, Mathematical Programming 163, pp. 359--368, 2017.

E. G. Birgin, N. Krejiínez, J. M. Martínez, On the minimization of possibly discontinuous functions by means of pointwise approximations, Optimization Letters, to appear.

E. G. Birgin, L. F. Bueno, J. M. Martínez, Sequential equality constrained optimization for nonlinear programming, Computational Optimization and Applications, 65, pp. 699--721, 2016.

R. Andreani, J. M. Martínez, L. T. Santos, Newton's method may fail to recognize proximity to optimal points in constrained optimization, Mathematical Programming, to appear.

E. G. Birgin, J. L. Gardenghi, J. M. Martínez, S. A. Santos, Ph. L. Toint Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models, SIAM Journal on Optimization 26, 951--967, 2016.

E. G. Birgin, R. Lobato, J. M. Martínez. Packing Ellipsoids by Nonlinear Optimization. Journal of Global Optimization 65, 709--743, 2016.

L. F. Bueno, G. Haeser, J. M. Martínez. An Inexact Restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization. Optimization Letters, to appear.

R. Andreani, J. M. Martínez, A. Ramos, and P. J. S. Silva. A Cone-Continuity Constraint Qualification and algorithmic consequences. SIAM Journal on Optimization, to appear.

R. Andreani, J. J. Judice, J. M. Martínez, and T. Martini. Feasibility problems with complementarity constraints. European Journal of Operations Research, to appear.

E. G. Birgin and J. M. Martínez. On the application of an Augmented Lagrangian algorithm to some portfolio problems. EURO Journal on Computational Optimization 4, pp. 79--92, 2016.

J. M. Martínez and M. Raydan. Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization. Journal of Global Optimization 63, pp. 315--342, 2015.

E. G. Birgin, L. F. Bueno, and J. M. Martínez. Assessing the reliability of general-purpose Inexact Restoration methods, Journal of Computational and Applied Mathematics (Belgium), 282, pp. 1--16, 2015.

N. Krejic and J. M. Martínez. Inexact Restoration approach for minimization with inexact evaluation of the objective function. Mathematics of Computation 85, pp. 1775-1791, 2016.

E. G. Birgin, J. M. Martínez, and L. F. Prudente. Optimality properties of an Augmented Lagrangian method for infeasible problems, Computational Optimization and Applications 60, pp. 609--631, 2015.

L. F. Bueno, G. Haeser, and J. M. Martínez. A flexible inexact restoration method for consrained optimization, Journal of Optimization Theory and Applications, to appear.

E. G. Birgin, J. M. Martínez, and M. Raydan. Spectral Projected Gradient Methods: Review and Perspectives, Journal of Statistical Software 60, issue 3, 2014.

R. Andreani, J. M. Martínez, L. T. Santos, and B. F. Svaiter . On the behavior of constrained optimization methods when Lagrage multipliers do not exist. Optimization Methods and Software, 29, pp. 646--657, 2014.

L. F. Bueno, A. Friedlander, J. M. Martínez, and F. N. C. Sobral . Inexact restoration method for derivative-free optimization with smooth constraints. SIAM Journal on Optimization 23, pp. 1189--2013, 2013.

E. G. Birgin, J. M. Martínez, L. Martínez, and G. B. Rocha. Sparse projected-gradient method as a linear-scaling low-memory alternative to diagonalization in self-consistent field electronic structure calculations. Journal of Chemical Theory and Computation 9, 1043--1051, 2013.

E. G. Birgin, J. M. Martínez, and L. F. Prudente. Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming. Journal of Global Optimization 58, pp. 207--242, 2014.

E. G. Birgin, L. H. Bustamente, H. F. Callisaya, and J. M. Martínez. Packing Circles within Ellipses. International Transactions in Operations Research 20, pp. 365-389, 2013.

J. M. Martínez and F. N. C. Sobral. Derivative-free constrained optimmization on thin domains. Journal of Global Optimization, 56, pp. 1217--1232, 2013.

J. M. Martínez, and L. F. Prudente. Handling infeasibility in a large-scale nonlinear optimization algorithm, Numerical Algorithms 60, pp. 263--277, 2012. 2011. Related Technical Report. (pdf file)

E. P. Carvalho, F. I. Pisnitchenko, N. Mezzomo, S. R. S. Ferreira, J. M. Martínez, and J. Martínez. Low Order-Value Multiple Fitting for Supercritical Fluid Extraction Models, Computers and Chemical Engineering 40, pp. 148-156, 2012. 2011. Related Technical Report. (pdf file)

E. G. Birgin, L. F. Bueno, N. Kreji\'c and J. M. Martínez: Low Order-Value Approach for Solving VaR-Constrained Optimization Problems, Journal of Global Optimization 51, 715-742. 2011. Related Technical Report. (pdf file)

E. G. Birgin and J. M. Martínez: Augmented Lagrangian Method with nonmonotone penalty parameters for Constrained Otimization, Computational Optimization Theory and Applications 51, pp. 941-965, 2012. Related Technical Report. (pdf file)

E. G. Birgin, E. V. Castelani, A. L. Martinez and J. M. Martínez: Outer Trust-Region Method for Constrained Otimization Journal of Optimization Theory and Applications 150, pp. 142-155. 2011. Related Technical Report. (pdf file)

E. G. Birgin, D. Fernández and J. M. Martínez: On the Boundedness of Penalty Parameters in an Augmented Lagrangian Method with Constrained Subproblems Optimization Methods and Software 27, pp. 1001--1024, 2012. Related Technical Report. (pdf file)

J. M. Martínez: Generalized Order-Value Optimization TOP, 20, pp. 75--98, 2012. 2011. Related Technical Report. (pdf file)

R. Andreani, J. J. J\'udice, J. M. Martínez, and J. Patricio. On the natural merit function for solving complementarity problems, Mathematical Programming 130, 211-223, 2011. Related Technical Report. (pdf file)

M. A. Diniz-Ehrhardt, J. M. Martínez, L. G. Pedroso: Derivative-free methods for nonlinear programming with general lower-level constraints Computational \& Applied Mathematics 30, 19--52, 2011. Related Technical Report. (pdf file)

R. Andreani, J. J. Judice, J. M. Martínez, J. Patricio: A projected-gradient interior-point algorithm for complementarity problems Numerical Algorithms , to appear. 2011. Related Technical Report. (pdf file)

R. Andreani, J. M. Martínez, B. F. Svaiter.: A new sequential optimality condition for constrained optimization and algorithmic consequences, SIAM Journal on Optimization, to appear. 2011. Related Technical Report. (pdf file)

E. P. Carvalho, J. Martínez, J. M. Martínez, F. I. Pisnitchenko. : On optimization strategies for parameter estimation in models governed by partial differential equations, Mathematics and Computers in Simulation 114 pp. 14--24, . 2015. Related Technical Report. (pdf file)

E. V. Castelani, A. L. M. Martínez, J. M. Martínez, B. F. Svaiter. Addressing the greediness phenomenon in Nonlinear Programming by means of Proximal Augmented Lagrangians, Computational Optimization and Applications 46, pp. 229--245, 2010. Related Technical Report. (pdf file)

J. B. Francisco, J. M. Martínez, L. Martínez, F. I. Pisnitchenko. Inexact Restoration methods for minimization problems that arise in electronic structure calculations. To appear in Computational Optimization and Applications 50, pp. 555-590, 2011. Final publication avaliable in www.springerlink.com, DOI: 10.1007/s10589-010-9318-6 Related Technical Report. (pdf file)

R. Andreani, G. Haeser, J. M. Martínez. On sequential optimality conditions for smooth constrained optimization. Optimization 60, pp. 627-641, 2011. Related and Expanded Technical Report. (pdf file)

L. Martínez, R. Andrade, E. G. Birgin, J. M. Martínez. Packmol: A package for building initial configurations for molecular dynamics simulations. Journal of Computational Chemistry 30, pp. 2157-2164, 2009 Related and Expanded Technical Report. (pdf file)

R. Andreani, E. G. Birgin, J. M. Martínez, M. L. Schuverdt. Second-order negative-curvature methods for box-constrained and general constrained optimization. Computational Optimization and Applications 45, pp. 209-236 (2010). Related and Expanded Technical Report. (pdf file)

M. Andretta, E. G. Birgin, J. M. Martínez. Partial Spectral Projected Gradient Method with Active-Set Strategy for Linearly Constrained Optimization Numerical Algorithms 53, pp. 23-52 (2010). Related and Expanded Technical Report. (pdf file)

E. G. Birgin, C. A. Floudas, J. M. Martínez. Global minimization using an Augmented Lagrangian method with variable lower-level constraints. Mathematical Programming 125, pp. 139-162 (2010). Related and Expanded Technical Report. (pdf file)

E. G. Birgin, J. M. Martínez, M. Raydan. Spectral Projected Gradient Methods. In {\it Encyclopedia of Optimization}, C. A. Floudas and P. M. Pardalos, editors. Second Edition. Springer, 2009, pp. 3652-3659.

E. G. Birgin, J. M. Martínez. Practical Augmented Lagrangian Methods. In {\it Encyclopedia of Optimization}, C. A. Floudas and P. M. Pardalos, editors. Second Edition. Springer, 2009, pp. 3013-3023.

R. Andrade, E. G. Birgin, I. Chambouleyron, J. M. Martínez and S. Ventura. Estimation of the thickness and the optical parameters of several stacked thin films using optimization. Applied Optics} 47, pp. 5208-5220, 2008. Related and Expanded Technical Report. (pdf file)

R. Andreani, J. M. Martínez and L. Martínez. Trust-Region Superposition Methods for Protein Alignment. IMA Journal on Numerical Analysis 28, pp. 690-710 (2008). Related and Expanded Technical Report. (pdf file)

R. Andreani, J. M. Martínez, L. Martínez and F. S. Yano. Low Order-Value Optimization and new applications. Journal of Global Optimization 43, pp. 1-10 (2009). Expanded Technical Report. (pdf file)

M. A. Gomes-Ruggiero, J. M. Martínez and S. A. Santos. Spectral projected gradient method with inexact restoration for minimization with nonconvex constraints. SIAM Journal on Scientific Computing 31, pp. 1628-1652 (2009). Expanded Technical Report. (pdf file)

J. Martínez and J. M. Martínez. Fitting the Sovovía's Supercritical Fluid Extraction Model by means of a Global Optimization tool. Computers and Chemical Engineering 32, pp. 1735-1745, 2008.

F. I. Pisnitchenko, I. A. Pisnichenko, J. M. Martínez and S. A. Santos. Continuous dynamic assimilation of the inner region data in hydrodynamics modelling: optimization approach. Nonlinear Processes in Geophysics 15, pp. 815-829 (2008).

R. Andreani, E. G. Birgin, J. M. Martínez and M. L. Schuverdt. On Augmented Lagrangian methods with general lower-level constraints. SIAM Journal on Optimization 18, pp. 1286-1309, 2007.

Leandro Martinez, Roberto Andreani and Jose Mario Martinez. Convergent algorithms for protein structural alignment. BMC Bioinformatics 2007, 8:306 doi:10.1186/1471-2105-8-306 [Full Text Online]

E. G. Birgin and J. M. Martínez. Improving ultimate convergence of an Augmented Lagrangian method. Optimization Methods and Software 23, 177-195, 2008. Related Technical Report. (pdf file)

R. Andreani, J. M. Martínez and M. L. Schuverdt. On Second-Order Optimality Conditions for Nonlinear Programming. Optimization 56, pp. 529-542 (2007). Related Technical Report. (pdf file)

C. Y. Kaya and J. M. Martínez. Euler Discretization and Inexact Restoration for Optimal Control. Journal of Optimization Theory and Applications, 134, pp. 191-206 (2007) Related Technical Report. (pdf file)

L. Ferreira-Mendonca, V. L. R. Lopes and J. M. Martínez. Quasi-Newton Acceleration for Equality Constrained Minimization. Computational Optimization and Applications 40, pp. 373--388 (2008), Related Technical Report. (pdf file)

E. G. Birgin and J. M. Martínez. Structured Minimal-Memory inexact quasi-Newton method and secant preconditioners for Augmented Lagrangian Optimization. Computational Optimization and Applications 39, pp. 1--16 (2008) Related Technical Report. (pdf file)

R. Andreani, J. M. Martínez, L. Martínez and F. Yano. Continuous Optimization Methods for Structure Alignments. Mathematical Programming 112, pp. 93-124 (2008) Related Technical Report. (pdf file)

J. B. Francisco, J. M. Martínez and L. Martínez. Density-Based Globally Convergent Trust-Region Method for Self-Consistent Field Electronic Structure Calculations. Journal of Mathematical Chemistry, Vol. 40, pp. 349-377 (2006). Related Technical Report. (pdf file)

R. Andreani, E. G. Birgin, J. M. Martínez and M. L. Schuverdt. Augmented Lagrangian methods under the Constant Positive Linear Dependence constraint qualification. Mathematical Programming 112, pp. 5-32 (2008).

M. A. Diniz-Ehrhardt, J. M. Martínez and M. Raydan. A derivative-free nonmonotone line search technique for unconstrained optimization. Journal of Computational and Applied Mathematics 219, pp. 383-397, 2008.

R. Andreani, J. M. Martínez, M. Salvatierra and F. Yano. Quasi-Newton methods for Order-Value Optimization and Value-at-Risk calculations. Pacific Journal of Optimization, Vol. 2, pp. 11-33 (2006). Related Technical Report. (pdf file)

E. G. Birgin, J. M. Martínez, F. Nishihara and D. P. Ronconi. Orthogonal packing of rectangular items within arbitrary convex regions by nonlinear optimization. Computers and Operations Research , 33, pp. 3535-3548 (2006).

E. G. Birgin, J. M. Martínez, W. F. Mascarenhas and D. P. Ronconi. Method of Sentinels for Packing Items within Arbitrary Convex Regions. Journal of the Operational Research Society, 57, pp. 735-746, 2006. Related Technical Report. (pdf file)

W. La Cruz, J. M. Martínez and M. Raydan. Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Mathematics of Computation, 75, pp. 1429-1448 (2006). Related Technical Report. (pdf file)

M. Andretta, E. G. Birgin and J. M. Martínez. Practical active set Euclidian trust-region method with spectral projected gradients for bound-constrained optimization. Optimization 54, pp. 305-325 (2005). Related Technical Report MCDO041130, (pdf file)

E. G. Birgin and J. M. Martínez. Local convergence of an Inexact-Restoration method and numerical experiments. Journal of Optimization Theory and Applications 127, pp. 229-247 (2005). Download expanded Technical Report MCDO041118, (pdf file)

R. Andreani, C. Dunder and J. M. Martínez. Nonlinear-Programming Reformulation of the Order-Value Optimization Problem. Mathematical Methods of Operations Research 61, pp. 365-384 (2005). Expanded Technical Report (2001) (pdf file)

L. T. Santos, F. Yano, M. Salvatierra, J. M. Martínez, R. Andreani and M. Tygel. A global optimization algorithm applied to the common reflection surface (CRS) problem. Journal of Seismic Exploration 14, pp. 217-233 (2005).

J. B. Francisco, J. M. Martínez and L. Martínez. Globally convergent Trust-Region methods for Self-Consistent Field electronic calculations. Journal of Chemical Physics 121, pp. 10863-10878 (2004) Related Technical Report (pdf file)

J. B. Francisco, N. Krejic and J. M. Martínez. An interior-point method for solving box-constrained underdetermined nonlinear systems. Journal of Computational and Applied Mathematics (Belgium) 177, pp.67--88 (2005). Technical Report (pdf file)

R. Andreani, E. G. Birgin, J. M. Martínez and J. Y. Yuan. Spectral Projected Gradient and Variable Metric methods for Optimization with linear inequalities. IMA Journal on Numerical Analysis 25, pp. 221-252 (2005). Related Technical Report (pdf file)

E. G. Birgin, R. Castillo and J. M. Martínez. Numerical comparison of Augmented Lagrangian algorithms for nonconvex problems. Computational Optimization and Applications 31, pp. 31-56 (2005). Related Technical report.

R. Andreani, J. M. Martínez and M. L. Schuverdt. On the relation between Constant Positive Linear Dependence condition and Quasinormality Constraint Qualification. Journal of Optimization Theory and Applications 125, pp. 473-485 (2005). Related Technical report.

J. M. Martínez. A note on the theoretical convergence properties of the SIMP method. Structural and Multidisciplinary Optimization 29, pp. 319-323 (2005) . Technical Report with expanded version of this paper.

J. M. Martínez, E. A. Pilotta and M. Raydan. Spectral gradient methods for linearly constrained optimization. Journal of Optimization Theory and Applications 125, pp. 629-651 (2005). Expanded Technical report (pdf file)

S. Ventura, E. G. Birgin, J. M. Martínez and I. Chambouleyron. Optimization techniques for the estimation of the thickness and the optical parameters of thin films using reflectance data. Journal of Applied Physics 97 (2005). Technical report (pdf file)

R. Andreani, J. M. Martínez, M. Salvatierra and F. Yano. Global Order-Value Optimization by means of a multistart harmonic oscillator tunneling strategy. In {\it Global Optimization: from Theory to Implementation}, edited by L. Liberti and N. Maculan, Kluwer. Related Technical report (pdf file)

M. A. Diniz-Ehrhardt, M. A. Gomes-Ruggiero, V. L. R. Lopes and J. M. Martínez. Discrete Newton's method with local variations for solving large-scale nonlinear systems. Optimization 52, pp. 417-440 (2003). Technical Report (pdf file)

E. G. Birgin, J. M. Martínez and D. Ronconi. Optimizing the packing of cylinders into a rectangular container. A nonlinear approach. European Journal on Operations Research. 160, pp. 19-33 (2005). Technical Report (pdf file)

R. Andreani, C. Dunder and J. M. Martínez. Order-Value Optimization: formulation and solution by means of a primal Cauchy method. Mathematical Methods of Operations research 58, pp. 387-399 (2003) . Technical Report (pdf file)

E. G. Birgin, J. M. Martínez and M. Raydan. Inexact Spectral Projected Gradient methods on convex sets. IMA Journal on Numerical Analysis 23, pp. 539-559 (2003). Technical Report (pdf file)

E. G. Birgin, N. Krejic and J. M. Martínez. Globally convergent inexact quasi-Newton methods for solving nonlinear systems. Numerical Algorithms 32, pp. 249-260 (2003) . Technical Report (pdf file)

J. M. Martínez and E. A. Pilotta. Inexact restoration methods for nonlinear programming: advances and perspectives. In Optimization and Control with applications , edited by L. Q. Qi, K. L. Teo and X. Q. Yang. Springer, pp. 271-292, 2005. Expanded Technical Report (pdf file)

J. M. Martínez and L. Martínez. Packing optimization for automated generation of complex system's initial configurations for molecular dynamics and docking. Journal of Computational Chemistry 24, pp. 819-825 (2003) Home-page of Packmol

Y. H. Dai, J. M. Martínez and J. Y. Yuan. An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches. Numerical Linear Algebra and Applications 10, pp. 323-334 (2003). Technical Report (pdf file)

I. Chambouleyron, S. Ventura, E. G. Birgin and J. M. Martínez. Optical constants and thickness determination of very thin amorphous semiconductor films. Journal of Applied Physics. 92, pp. 3093-3102 (2002).

E. G. Birgin, I. Chambouleyron and J. M. Martínez. Optimization problems in the estimation of parameters of thin films and the elimination of the influence of the substrate. Journal of Computational and Applied Mathematics. 152, pp. 35-50 (2003). Technical Report (pdf file)

M. A. Diniz-Ehrhardt, M. A. Gomes-Ruggiero, J. M. Martínez and S. A. Santos. Augmented Lagrangian algorithms based on the spectral projected gradient for solving nonlinear programming problems. Journal of Optimization Theory and Applications. 123, pp. 497-517 (2004). Technical Report (pdf file)

J. M. Martínez and B. F. Svaiter. A practical optimality condition without constraint qualifications for nonlinear programming. Journal of Optimization Theory and Applications 118, pp. 117-133 (2003). Technical Report (pdf file)

E. G. Birgin, I. Chambouleyron, J. M. Martínez and S. Ventura. Estimation of optical parameters of very thin films. Applied Numerical Mathematics 47, pp. 109-119 (2003). Technical Report (pdf file)

E. G. Birgin and J. M. Martínez. Large-scale active-set box-constrained optimization method with spectral projected gradients. Computational Optimization and Applications. 23, pp. 101-125 (2002). Technical Report (pdf file)

O. Burdakov, J. M. Martínez and E. A. Pilotta. A limited memory multipoint secant method for bound constrained optimization. Annals of Operations Research 117, pp. 51-70 (2002. Technical Report (pdf file)

E. G. Birgin, J. M. Martínez and D. P. Ronconi. Minimization subproblems and heuristics for an applied clustering problem. European Journal on Operations Research 146, pp. 19-34 (2003). Technical Report (pdf file)

J. M. Martínez. Minimization of discontinuous cost functions by smoothing. Acta Applicandae Mathematicae 71, pp. 245-260 (2002). Download Technical Report (pdf file)

E. G. Birgin, N. Krejic and J. M. Martínez. Solution of bounded nonlinear systems of equations using homotopies with inexact restoration. International Journal of Computer Mathematics 80, pp. 211-222 (2003). Download Technical Report (pdf file)

E. G. Birgin, J. M. Martínez and M. Raydan. Algorithm 813: SPG - Software for convex-constrained optimization. ACM Transactions on Mathematical Software 27, pp. 340-349 (2001) . Download Technical Report (pdf file)

I. Chambouleyron and J. M. Martínez. Optical properties of dielectric and semiconductor thin films. Handbook of Thin Films Materials . Volume 3. Edited by H. S. Nalwa. Academic Press. San Diego (2001), pp. 593-622. Download Technical Report (pdf file)

R. Andreani and J. M. Martínez. On the solution of mathematical programming problems with equilibrium constraints. Mathematical Methods of Operations Research 54, pp. 345-358 (2001). Download Technical Report (pdf file)

J. M. Martínez. Inexact restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming. Journal of Optimization Theory and Applications 111, pp. 39-58 (2001). Download Technical Report (pdf file)

E. G. Birgin and J. M. Martínez. A box-constrained optimization algorithm with negative curvature directions and spectral projected gradients. Computing , Sup. 15, pp. 49-60 (2001). Download Technical Report (pdf file)

R. Andreani and J. M. Martínez. On the solution of bounded and unbounded mixed complementarity problems. Optimization 50, pp. 265-278 (2001). Download Technical Report (pdf file)

M. A. Diniz-Ehrhardt, Z. Dostal, M. A. Gomes-Ruggiero, J. M. Martínez and S. A. Santos. Nonmonotone strategy for minimization of quadratics with simple constraints. Applications of Mathematics 46, pp. 321-338 (2001). Download Technical Report (ps file)

E. G. Birgin and J. M. Martínez. A spectral conjugate gradient method for unconstrained optimization. Applied Mathematics and Optimization. 43, pp. 117-128 (2001).

J. M. Martínez. BOX-QUACAN and the implementation of Augmented Lagrangian algorithms for minimization with inequality constraints. Computational and Applied Mathematics 19, pp. 31-56 (2000). Download Technical Report in postscript format

J. M. Martínez. Practical quasi-Newton methods for solving nonlinear systems. Journal of Computational and Applied Mathematics 124, pp. 97-122 (2000). Download Technical Report (pdf file)

J. M. Martínez and E. A. Pilotta. Inexact restoration algorithms for constrained optimization. Journal of Optimization Theory and Applications 104, pp. 135-163 (2000). Download Technical Report (pdf file)

E. G. Birgin, J. M. Martínez and M. Raydan. Nonmonotone spectral projected gradient methods on convex sets. SIAM Journal on Optimization 10, pp. 1196-1211 (2000). Download Updated Technical Report of 2002 (pdf file)

R. Andreani and J. M. Martínez. Reformulation of variational inequalities on a simplex and compactification of complementarity problems. SIAM Journal on Optimization 10, pp. 878-895 (2000). Download Technical Report (pdf file)

N. Krejic and J. M. Martínez. A globally convergent inexact-Newton method for solving reducible nonlinear systems of equations. Optimization methods and Software. 13, pp. 11-34 (2000). Technical Report

N. Krejic, J. M. Martínez, M. P. Mello and E. A. Pilotta. Validation of an augmented Lagrangian algorithm with a Gauss-Newton Hessian approximation using a set of hard-spheres problems. Computational Optimization and Applications 16, 247-263 (2000). Download Technical Report (ps file)

N. Krejic, V.L.R. Lopes, J. M. Martínez and R. Pérez. Incomplete decomposition algorithms for discrete dynamic nonlinear models. Nonlinear Analysis Theory methods and Applications. 42, pp. 663-672 (2000) Download Technical Report in postscript format

M. Mulato, I. Chambouleyron, E. G. Birgin and J. M. Martínez. Determination of thickness and optical constants of amorphous silicon films from transmittance data. Applied Physics Letters. 77, pp. 2133-2135 (2000)

R. Andreani, J. M. Martínez and B. F. Svaiter. On the regularization of mixed complementarity problems. Numerical Functional Analysis and Optimization 21, pp. 589-600 (2000). Download Technical Report (pdf file)

E. G. Birgin, I. Chambouleyron and J. M. Martínez. Estimation of the optical constants and the thickness of thin films using unconstrained optimization. Journal of Computational Physics. 151, pp. 862-880 (1999). Download Technical Report in postscript format

R. Andreani and J. M. Martínez. On the reformulation of nonlinear complementarity problems using the Fischer-Burmeister function. Applied Mathematics Letters. 12, pp. 7-12 (1999). Download Technical Report in postscript format

N. Krejic and J. M. Martínez. Inexact-Newton methods for semismooth systems of equations with block-angular structure. Journal of Computational and Applied Mathematics. 103, pp. 239-249 (1999) Download Technical Report in postscript format

V. L. R. Lopes, J. M. Martínez and R. Pérez. On the local convergence of quasi-Newton methods for nonlinear complementarity problems. Applied Numerical Mathematics. 30, pp. 3-22 (1999). Download Technical Report in postscript format

J. M. Martínez. A direct search method for nonlinear programming. ZAMM (Z. Angew. Math. Mech.). 79, pp. 267-276 (1999). Download Technical Report in postscript format

F. M. Gomes, M. C. Maciel, J. M. Martínez. Nonlinear programming algorithms using trust regions and augmented Lagrangians with nonmonotone penalty parameters. Mathematical Programming . 84, pp. 161-200 (1999). Download Technical Report in postscript format

R. Andreani and J. M. Martínez. Solving complementarity problems by means of a new smooth constrained nonlinear solver. In Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing methods .. Edited by M. Fukushima and L. Qi. Kluwer, pp.1-24 (1999). Download Technical Report in postscript format

A. Friedlander, J. M. Martínez, B. Molina and M. Raydan. Gradient methods with retards and generalizations. SIAM Journal on Numerical Analysis. 36, pp. 275-289 (1998) Download Technical Report in postscript format

J. M. Martínez. Two-phase model algorithm with global convergence for nonlinear programming. Journal of Optimization Theory and Applications . 96, pp. 397-436 (1998). Download Technical Report in postscript format

I. E. Chambouleyron, J. M. Martínez, A. C. Moretti and M. Mulato. Optical constants of thin films by means of a pointwise constrained optimization approach. Thin Solid Films . 317, pp. 133-136 (1998).

J. M. Martínez and L. T. Santos. Some new theoretical results on recursive quadratic programming algorithms. Journal of Optimization Theory and Applications . 97, pp. 435-454 (1998). Download Technical Report in postscript format

J. M. Martínez. A semifeasible trust-region model algorithm for large-scale minimization with inequality constraints. Novi Sad Journal of Mathematics . 28, pp. 1-29 (1998). Download Technical Report in postscript format

R. Andreani and J. M. Martínez. On the solution of the extended linear complementarity problem. Linear Algebra and its Applications . 281, pp. 247-257 (1998). Download Technical Report in postscript format

J. M. Martínez. Augmented Lagrangians and sphere packing problems. International Journal of Computer Mathematics. 70, pp. 75-86 (1998).

J. M. Martínez and L. T. Santos. Comparação de duas estratégias no ensino de ` Complementos de Matemática'. Zetetiké (Revista da Faculdade de Educação da Unicamp). 6, pp. 89-108 (1998). Download Technical Report in postscript format

J. M. Martínez, L. T. Santos and S. A. Santos, A minimax method with application to the initial vector coding problem, International Journal of Computer Mathematics . 64, pp. 273-284 (1997). Download Technical Report in postscript format

D. N. Kozakevich, J. M. Martínez, S. A. Santos. Solving nonlinear systems of equations with simple constraints. Computational and Applied Mathematics . 16, pp. 215-235 (1997). Download Technical Report in postscript format

J. M. Martínez. Quasi-inexact-Newton methods with global convergence for solving constrained nonlinear systems. Nonlinear Analysis, Theory, methods and Applications . 30, pp. 1-8 (1997). Download Technical Report in postscript format

J. M. Martínez. A trust-region SLCP model algorithm for nonlinear programming. In Foundations of Computational Mathematics.. Edited by F. Cucker and M. Shub. Springer-Verlag, pp. 246-255 (1997).

R. H. Bielschowsky, A. Friedlander, F. A. M. Gomes, J. M. Martínez and M. Raydan. An adaptive algorithm for bound constrained quadratic minimization. Investigaci\'on Operativa . 7, pp. 67-102 (1997). Download Technical Report in postscript format

A. Friedlander, M. A. Gomes-Ruggiero, D. N. Kozakevich, J. M. Martínez and S. A. Santos. Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy. Optimization methods and Software . 8, pp. 25-51 (1997). Download Technical Report in postscript format

R. Andreani, A. Friedlander, J. M. Martínez. On the solution of finite-dimensional variational inequalities using smooth optimization with simple bounds. Journal on Optimization Theory and Applications . 94, pp. 635-657 (1997). Download Technical Report in postscript format

J. M. Martínez and S. A. Santos. Convergence results on an algorithm for norm constrained regularization and related problems. RAIRO Operations Research. 31, pp. 269-294 (1997). Download Technical Report in postscript format

M. A. Gomes-Ruggiero, V. L. R. Lopes and J. M. Martínez. Global convergence of Newton-like methods for nonsmooth systems. Numerical Functional Analysis and Optimization . (9-10), pp. 959-969 (1997).

I. Chambouleyron, J. M. Martínez, A. C. Moretti and M. Mulato, The retrieval of the optical constants and the thickness of thin films from transmission spectra, Applied Optics . 36, pp. 8238-8247 (1997).

J. M. Martínez and A. C. Moretti. A trust region method for minimization of nonsmooth functions with linear constraints. Mathematical Programming . 76, pp. 431-450 (1997). Download Technical Report in postscript format

M. A. Diniz-Ehrhardt and J. M. Martínez. Successive projection methods for the solution of overdetermined nonlinear systems. In Nonlinear Optimization and Applications .. Edited by G. Di Pillo and F. Giannessi. Plenum Publishing, pp. 75-84 (1996).

M. A. Gomes-Ruggiero, D. N. Kozakevich and J. M. Martínez. A numerical study on large-scale nonlinear solvers. Computers and Mathematics with Applications . 32, pp. 1-13 (1996). Download Technical Report in postscript format

J. M. Martínez. An extension of the theory of secant preconditioners. Journal of Computational and Applied Mathematics . 60, pp. 115-125 (1995). Download Technical Report in postscript format

J. M. Martínez and S. A. Santos. A trust region strategy for minimization on arbitrary domains. Mathematical Programming . 68, pp. 267-302 (1995). Download Technical Report in postscript format

A. Friedlander, J. M. Martínez and M. Raydan. A new method for large-scale box constrained convex quadratic minimization problems. Optimization Methods and Software . 5, pp. 57-74 (1995). Download Technical Report in postscript format

J. M. Martínez and L. Qi. Inexact Newton methods for solving nonsmooth equations. Journal of Computational and Applied Mathematics . 60, pp. 127-145 (1995). Download Technical Report in postscript format

J. M. Martínez. Discrimination by means of a trust region method. International Journal of Computer Mathematics . 55, pp. 91-103 (1995).

M. A. Gomes-Ruggiero, J. M. Martínez and S. A. Santos. Solving nonsmooth equations by means of quasi-Newton methods with globalization. In Recent advances in Nonsmooth Optimization .. Edited by D-Z. Du, L. Qi and R. Womersley. World Scientific, pp. 121-140 (1995).

A. Friedlander, J. M. Martínez and S. A. Santos. Solution of linear complementarity problems using minimization with simple bounds. Journal of Global Optimization . 6, pp. 1-15 (1995). Download Technical Report in postscript format

A. Friedlander, J. M. Martínez and S. A. Santos. A new strategy for solving variational inequalities on bounded polytopes. Numerical Functional Analysis and Optimization. 16, pp. 653-668 (1995). Download Technical Report in postscript format

J. M. Martínez. Quasi-Newton methods with derivatives. Calcolo . 32, pp.105-135 (1995). Download Technical Report in postscript format

V. L. R. Lopes and J. M. Martínez. Convergence properties of the inverse Column-Updating method. Optimization Methods and Software . 6, pp. 127-144 (1995). Download Technical Report in postscript format

V. L. R. Lopes and J. M. Martínez. On the convergence of quasi-Newton methods for nonsmooth problems.. Numerical Functional Analysis and Optimization 16, pp. 1193-1209 (1995). Download Technical Report in postscript format

J. M. Martínez and S. A. Santos. Métodos computacionais de otimização.. XX Col\'oquio Brasileiro de Matemática, IMPA (ISBN 85-244-0092-7, 256 pages) (1995). Download postscript

M. A. Diniz-Ehrhardt, J. M. Martínez and S. A. Santos. Parallel projection methods and the resolution of ill-posed problems. Computers and Mathematics with Applications . 27, pp. 11-24 (1994).

A. Friedlander and J. M. Martínez. On the maximization of a concave quadratic function with box constraints. SIAM Journal on Optimization . 4, pp. 177-192 (1994). Download Technical Report in postscript format

A. Friedlander, J. M. Martínez and S. A. Santos. On the resolution of large scale linearly constrained convex minimization problems. SIAM Journal on Optimization . 4, pp. 331-339 (1994).

J. M. Martínez. Local minimizers of quadratic functions on Euclidean balls and spheres. SIAM Journal on Optimization . 4, pp. 159-176 (1994).

J. M. Martínez. SOR - Secant methods. SIAM Journal on Numerical Analysis . 31, pp. 217-226 (1994).

J. E. Dennis, J. M. Martínez and X. Zhang. Triangular decomposition methods for solving reducible nonlinear systems of equations. SIAM Journal on Optimization . 4, pp. 358-382 (1994). Expanded Technical Report

A. Friedlander, J. M. Martínez and S. A. Santos. A new trust region algorithm for bound constrained minimization. Applied Mathematics and Optimization . 30, pp. 235-266 (1994).

J. M. Martínez. Algorithms for solving nonlinear systems of equations. In Continuous Optimization. The state of art.. Edited by E. Spedicato. Kluwer Academic Publishers, pp. ~81-108 (1994). Download Technical Report in postscript format

J. M. Martínez, L. T. dos Santos and S. A. Santos. Problemas minimax and aplica\c{c.\~oes. Matemática Universitária . 16, pp. ~44-59 (1994).

J. M. Martínez. On the global convergence of a curvilinear search method for unconstrained optimization. Computational and Applied Mathematics . 11, pp. 227 - 236 (1993).

J. M. Martínez. A theory of secant preconditioners. Mathematics of Computation . 60, pp. 681-698 (1993).

M. A. Diniz-Ehrhardt and J. M. Martínez. A parallel projection method for overdetermined nonlinear systems of equations. Numerical Algorithms . 4, pp. 241-262 (1993).

J. M. Martínez. On the convergence of the column - updating method. Computational and Applied Mathematics . 12, pp. 83-94 (1993).

J. M. Martínez and M. C. Zambaldi. Least change update methods for nonlinear systems with nondifferentiable terms. Numerical Functional Analysis and Optimization . 14, pp. 405-415 (1993).

J. M. Martínez. Teoría y práctica en optimizaci\'on numérica. Investigaci\'on Operativa . 3, pp. 7-25 (1993).

J. M. Martínez. Tend\^encias em programação não linear de grande porte, Matemática Universitária . 15, pp. 77-101 (1993).

M. A. Gomes-Ruggiero and J. M. Martínez. The column-updating method for solving nonlinear equations in Hilbert space. RAIRO Mathematical Modelling and Numerical Analysis. 26, pp. 309-330 (1992).

M. A. Gomes-Ruggiero, J. M. Martínez and A. C. Moretti. Comparing algorithms for solving sparse nonlinear systems of equations. SIAM Journal on Scientific and Statistical Computing. 13, pp. 459-483 (1992).

J. M. Martínez and M. C. Zambaldi. An inverse column-updating method for solving large-scale nonlinear systems of equations. Optimization Methods and Software. 1, pp. 129-140 (1992).

F. M. Gomes and J. M. Martínez. Parallel implementations of Broyden's method. Computing . 47, pp. 361-366 (1992).

J. M. Martínez. On the relation between two local convergence theories of least change secant update methods. Mathematics of Computation . 59, pp. 457-482 (1992).

J. M. Martínez. Fixed-point quasi-Newton methods. SIAM Journal on Numerical Analysis . 29, pp. 1413-1434 (1992).

A. Friedlander and J. M. Martínez. New algorithms for maximization of concave functions with box constraints. RAIRO Operations Research . 26, pp. 209 - 236 (1992).

H. S. Gomes and J. M. Martínez. A numerically stable reduced-gradient type algorithm for solving large-scale linearly constrained minimization problems. Computers and Operations Research . 18, pp. 17-31 (1991).

J. E. Dennis, N. Echebest, M. Guardarucci, J. M. Martínez, H. D. Scolnik and C. Vacchino. A curvilinear search using tridiagonal secant updates for unconstrained optimization. SIAM Journal on Optimization . 1, pp. 333-357 (1991).

J. M. Martínez. Quasi-Newton methods for solving underdetermined nonlinear simultaneous equations. Journal of Computational and Applied Mathematics . 34, pp. 171-190 (1991).

J. M. Martínez. A family of quasi-Newton methods with direct secant updates of matrix factorizations. SIAM Journal on Numerical Analysis . 27, pp. 1034-1049 (1990).

J. M. Martínez. Local convergence theory of inexact Newton methods based on structured least change updates. Mathematics of Computation . 55, pp. 143-167 (1990).

J. M. Martínez and R. F. Santos. An algorithm for solving nonlinear least-squares problems with a new curvilinear search. Computing . 44, pp. 83-90 (1990).

E. D. Andjel, T. L. Lopes and J. M. Martínez. A linear continuous transportation problem. Journal of Mathematical Analysis and Applications . 141, pp. 424-430 (1989).

A. Friedlander and J. M. Martínez. On the numerical solution of bound constrained optimization problems. RAIRO Operations Research . 23, pp. 319-341 (1989).

J. M. Martínez. An accelerated successive orthogonal projections method for solving large-scale linear feasibility problems. Computers and Mathematics with Applications . 15, pp. 367-373 (1988).

J. M. Martínez. A note on the implementation of the accelerated successive orthogonal projections method for solving large-scale linear feasibility problems. Applied Mathematics Letters. 1, pp. 259-261 (1988).

J. M. Martínez and A. C. Moretti. An application of the method of successive orthogonal projections to a feasibility control problem. Investigação Operacional . 8, pp. 61-66 (1988).

J. M. Martínez. Quasi-Newton methods with factorization scaling for solving sparse nonlinear systems of equations. Computing . 38, pp. 133-141 (1987).

J. M. Martínez. An algorithm for solving sparse nonlinear least squares problems. Computing . 39, pp. 307-325 (1987).

J. M. Martínez. Solution of nonlinear systems of equations by an optimal projection method. Computing . 37, pp. 59-70 (1986).

E. Recami, J. M. Martínez and W. T. Zanchin. Does Thermodynamics require a new expansion after the Big Crunch of our cosmos?. In Progress in Particle and Nuclear Physics (vol. 18)., edited by A. Faessler, Pergamon Press, Oxford, pp. 143-152 (1986).

J. M. Martínez. The method of successive orthogonal projections for solving nonlinear simultaneous equations, Calcolo . 23, pp. 93-105 (1986).

J. M. Martínez and R. B. Sampaio. Parallel and sequential Kaczmarz methods for solving underdetermined nonlinear equations. Journal of Computational and Applied Mathematics . 15, pp. 311-321 (1986).

J. M. Martínez. Solving systems of nonlinear equations by means of an accelerated successive orthogonal projections method. Journal of Computational and Applied Mathematics . 16, pp. 169-179 (1986).

J. M. Martínez. The projection method for solving nonlinear systems of equations under the most violated constraint control. Computers and Mathematics with Applications . 11, pp. 987-993 (1985).

J. M. Martínez. Sistemas não lineares em grafos e cálculo de encanamentos usando microcomputador. Revista Brasileira de Computação . 4, pp. 127-140 (1984-1985).

J. M. Martínez. A quasi-Newton method with modification of one column per iteration. Computing. 33, pp. 353-362 (1984).

J. M. Martínez. A new Algorithm for nonlinear least squares problems. Ponencias Libres del 44 Periodo de Sesiones del ISI (International Statistical Institute). 2, pp. 803-806 (1983).

J. M. Martínez. A quasi-Newton method with a new updating for the LDU factorization of the aproximate Jacobian. Matemática Aplicada e Computacional. 2, pp. 131-142 (1983).

J. M. Martínez and L. S. Ochi. Sobre dois métodos de Broyden. Matemática Aplicada e Computacional . 1, pp. 135-143 (1982).

A. R. De Pierro and J. M. Martínez. Some properties of the Levenberg-Marquardt method for linear systems. Matemática Aplicada e Computacional . 1, pp. 191-200 (1982).

J. M. Martínez. Solving nonlinear simultaneous equations with a generalization of Brent's method. BIT . 20, pp. 501-510 (1980).

T. L. Lopes and J. M. Martínez. Combination of the sequential secant method and Broyden's method with projected updates. Computing . 25, pp. 379-386 (1980).

J. M. Martínez. A Bound for the Moore-Penrose inverse of a matrix. Commentationes Mathematicae Universitatis Carolinae. 20, pp. 357-360 (1979).

J. M. Martínez. Generalization of the methods of Brent and Brown for solving nonlinear simultaneous equations. SIAM Journal on Numerical Analysis. 16, pp. 434-448 (1979).

J. M. Martínez. Three new algorithms based on the sequential secant method. BIT . 19, pp. 236-243 (1979).

J. M. Martínez. On the order of convergence of Broyden-Gay-Schnabel's method, Commentationes Mathematicae Universitatis Carolinae. 19, pp. 107-118 (1978).

A. Friedlander, J. M. Martínez and H. D. Scolnik. Generalized inverses and a new secant type minimization algorithm. In Optimization Techniques - Proceedings 8th IFIP Conference - Part 2.. Edited by J. Stoer. Springer-Verlag, pp. 136-146 (1977).