Edit Profile (opens in new tab) Martínez, José Mario Co-Author Distance Author ID: martinez.jose-mario Published as: Martínez, J. M.; Martínez, José Mario; Martinez, J. M.; Martinez, Jose Mario; Martinez, José Mario; Martínez, Jose Mario; Martínez, José Mário; Martinez, José Mário; Martıńez, José Mario; Martínez, J. Mario; Martínez, J. more...less Further Spellings: Martínez Pérez, José Mario Homepage: https://www.ime.unicamp.br/~martinez/ External Links: MGP · Wikidata · Google Scholar · dblp Documents Indexed: 217 Publications since 1978, including 1 Book and 3 Additional arXiv Preprints 3 Contributions as Editor Biographic References: 2 Publications Co-Authors: 98 Co-Authors with 171 Joint Publications 1,919 Co-Co-Authors all top 5 Co-Authors 47 single-authored 59 Birgin, Ernesto G. 32 Andreani, Roberto 17 Santos, Sandra Augusta 13 Krejić, Nataša 12 Friedlander, Ana 11 Raydan, Marcos 9 Bueno, Luís Felipe 9 Diniz-Ehrhardt, Maria Aparecida 9 Gomes-Ruggiero, Márcia Ap. 6 Santos, Lúcio Tunes 5 Gardenghi, John L. 5 Martínez, Leandro 5 Schuverdt, María Laura 5 Svaiter, Benar Fux 4 Haeser, Gabriel 4 Júdice, Joaquim João 4 Lopes, Vera L. Rocha 4 Pilotta, Elvio A. 4 Ronconi, Débora P. 4 Yano, Flávio 3 Chambouleyron, Ivan E. 3 Dennis, John E. jun. 3 Francisco, Juliano B. 3 Kozakevich, Daniel N. 3 Lobato, Rafael D. 3 Ramos, Alberto 3 Yuan, Jinyun 2 Castelani, Emerson Vitor 2 Dunder, Cibele 2 Gomes, Francisco A. M. 2 Lopes, Tarcísio L. 2 Martinez, André L. M. 2 Moretti, Antonio Carlos 2 Pérez, Rosana 2 Pisnitchenko, Feodor 2 Prudente, Leandro F. 2 Rocha Lopes, Véra Lucia 2 Salvatierra, Mario jun. 2 Scolnik, Hugo D. 2 Silva, Paulo J. S. 2 Sobral, F. N. C. 2 Toint, Philippe Louis 2 Zhang, Xiaodong 1 Acin, Antonio 1 Amaral, V. S. 1 Andjel, Enrique Daniel 1 Andretta, Marina 1 Arias, Carlos Andrés 1 Armendáriz, Inés 1 Bowles, Joseph 1 Brás, Carmo P. 1 Burdakov, Oleg P. 1 Bustamante, Luis Henrique 1 Callisaya, Hector Flores 1 Carvalho, Esdras P. 1 Castillo, Rómulo A. 1 da Fonseca Prudente, Leandro 1 Dai, Yu-Hong 1 Dauphin, Alexandre 1 Dawson, Silvina Ponce 1 de Pierro, Alvaro Rodolfo 1 de Sampaio, Raimundo J. B. 1 Dostál, Zdeněk 1 Echebest, Nélida E. 1 Fernández, Damián R. 1 Ferrari, Pablo Augusto 1 Ferreira-Mendonça, L. 1 Firer, Marcelo 1 Floudas, Christodoulos Achilleus 1 Fraiman, Daniel 1 Fukushima, Masao 1 Gomes, F. M. 1 Gomes, Herminio Simões 1 Guardarucci, M. T. 1 Huembeli, Patrick 1 Iusem, Alfredo Noel 1 Kaya, C. Yalçin 1 la Cruz, William 1 Larreal, F. 1 Lavor, Carlile Campos 1 Liberti, Leo 1 Lima, Rodrigo S. 1 Maciel, María Cristina 1 Marcondes, Diaulas S. 1 Marina, Andretta 1 Martínez, Julián 1 Martini dos Santos, Tiara 1 Mascarenhas, Walter F. 1 Mello, Margarida Pinheiro 1 Meza-Alcántara, David 1 Molina, Brigida 1 Nishihara, F. H. 1 Ochi, Luiz Satoru 1 Patricio, João 1 Pedroso, Lucas Garcia 1 Qi, Liqun 1 Reips, Louise 1 Santos, Rita Filomena 1 Sessa, Valentina 1 Uzcategui, Carlos Enrique ...and 4 more Co-Authors all top 5 Serials 16 SIAM Journal on Optimization 16 Computational Optimization and Applications 13 Journal of Optimization Theory and Applications 12 Journal of Computational and Applied Mathematics 10 Journal of Global Optimization 9 Numerical Algorithms 9 Mathematical Programming. Series A. Series B 9 Optimization Methods & Software 8 Mathematics of Computation 7 Computing 6 SIAM Journal on Numerical Analysis 6 Optimization 5 Numerical Functional Analysis and Optimization 5 Computational and Applied Mathematics 5 Top 4 Computers & Mathematics with Applications 4 International Journal of Computer Mathematics 4 Matemática Aplicada e Computacional 3 IMA Journal of Numerical Analysis 3 RAIRO. Recherche Opérationnelle 3 European Journal of Operational Research 3 Mathematical Methods of Operations Research 3 Optimization Letters 2 Applied Mathematics and Optimization 2 Calcolo 2 Commentationes Mathematicae Universitatis Carolinae 2 Applied Numerical Mathematics 2 Computers & Operations Research 2 Applied Mathematics Letters 2 International Transactions in Operational Research 2 Journal of Mathematical Chemistry 2 BIT. Nordisk Tidskrift for Informationsbehandling 1 IEEE Transactions on Information Theory 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 ACM Transactions on Mathematical Software 1 Journal of the Operational Research Society 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Scientific and Statistical Computing 1 Acta Applicandae Mathematicae 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Annals of Operations Research 1 Applications of Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Journal of Inverse and Ill-Posed Problems 1 Novi Sad Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Structural and Multidisciplinary Optimization 1 Pacific Journal of Optimization 1 EURO Journal on Computational Optimization 1 Nonlinear Analysis. Theory, Methods & Applications 1 Bulletin of Computational Applied Mathematics 1 Fundamentals of Algorithms all top 5 Fields 163 Operations research, mathematical programming (90-XX) 133 Numerical analysis (65-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 3,669 times in 1,731 Documents Cited by ▼ Year ▼ Nonmonotone spectral projected gradient methods on convex sets. Zbl 1047.90077 Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 294 2000 On augmented Lagrangian methods with general lower-level constraints. Zbl 1151.49027 Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 168 2007 Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Zbl 1122.65049 La Cruz, William; Martínez, José Mario; Raydan, Marcos 163 2006 Practical augmented Lagrangian methods for constrained optimization. Zbl 1339.90312 Birgin, Ernesto G.; Martínez, José Mario 145 2014 A spectral conjugate gradient method for unconstrained optimization. Zbl 0990.90134 Birgin, E. G.; Martínez, J. M. 118 2001 On sequential optimality conditions for smooth constrained optimization. Zbl 1225.90123 Andreani, Roberto; Haeser, Gabriel; Martínez, J. M. 92 2011 Augmented Lagrangian methods under the constant positive linear dependence constraint qualification. Zbl 1163.90041 Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 87 2008 Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042 Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 84 2003 Algorithm 813: SPG – software for convex-constrained optimization. Zbl 1070.65547 Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 78 2001 On the relation between constant positive linear dependence condition and quasinormality constraint qualification. Zbl 1125.90058 Andreani, R.; Martinez, J. M.; Schuverdt, M. L. 77 2005 Large-scale active-set box-constrained optimization method with spectral projected gradients. Zbl 1031.90012 Birgin, Ernesto G.; Martínez, José Mario 75 2002 Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. Zbl 1365.90236 Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L. 72 2017 Global minimization using an augmented Lagrangian method with variable lower-level constraints. Zbl 1198.90322 Birgin, E. G.; Floudas, C. A.; Martínez, J. M. 70 2010 Gradient method with retards and generalizations. Zbl 0940.65032 Friedlander, A.; Martínez, J. M.; Molina, B.; Raydan, M. 67 1998 Inexact Newton methods for solving nonsmooth equations. Zbl 0833.65045 Martínez, José Mario; Qi, Liqun 65 1995 Practical quasi-Newton methods for solving nonlinear systems. Zbl 0967.65065 Martínez, José Mario 61 2000 Inexact-restoration algorithm for constrained optimization. Zbl 0969.90094 Martínez, J. M.; Pilotta, E. A. 61 2000 A cone-continuity constraint qualification and algorithmic consequences. Zbl 1329.90162 Andreani, Roberto; Martínez, José Mário; Ramos, Alberto; Silva, Paulo J. S. 58 2016 Local minimizers of quadratic functions on Euclidean balls and spheres. Zbl 0801.65057 Martínez, José Mario 57 1994 A new sequential optimality condition for constrained optimization and algorithmic consequences. Zbl 1217.90148 Andreani, Roberto; Martínez, J. M.; Svaiter, B. F. 53 2010 Inexact-restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming. Zbl 1052.90089 Martínez, J. M. 51 2001 A new trust region algorithm for bound constrained minimization. Zbl 0821.90101 Friedlander, A.; Martínez, J. M.; Santos, S. A. 48 1994 Comparing algorithms for solving sparse nonlinear systems of equations. Zbl 0752.65039 Gomes-Ruggiero, Márcia A.; Martínez, José Mario; Moretti, Antonio Carlos 47 1992 Numerical comparison of augmented Lagrangian algorithms for nonconvex problems. Zbl 1101.90066 Birgin, E. G.; Castillo, R. A.; Martínez, J. M. 45 2005 Optimizing the packing of cylinders into a rectangular container: A nonlinear approach. Zbl 1067.90133 Birgin, E. G.; Martínez, J. M.; Ronconi, D. P. 44 2005 A practical optimality condition without constraint qualifications for nonlinear programming. Zbl 1033.90090 Martínez, J. M.; Svaiter, B. F. 37 2003 Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization. Zbl 1379.90029 Martínez, J. M.; Raydan, M. 36 2017 Strict constraint qualifications and sequential optimality conditions for constrained optimization. Zbl 1516.90091 Andreani, Roberto; Martínez, José Mario; Ramos, Alberto; Silva, Paulo J. S. 34 2018 Euler discretization and inexact restoration for optimal control. Zbl 1135.49019 Kaya, C. Y.; Martínez, J. M. 31 2007 On second-order optimality conditions for nonlinear programming. Zbl 1172.90490 Andreani, R.; Martínez, J. M.; Schuverdt, M. L. 30 2007 The use of quadratic regularization with a cubic descent condition for unconstrained optimization. Zbl 1370.90260 Birgin, E. G.; Martínez, J. M. 29 2017 Inexact restoration method for derivative-free optimization with smooth constraints. Zbl 1280.65050 Bueno, L. F.; Friedlander, A.; Martínez, J. M.; Sobral, F. N. C. 29 2013 On high-order model regularization for constrained optimization. Zbl 1387.90200 Martínez, José Mario 28 2017 Globally convergent inexact quasi-Newton methods for solving nonlinear systems. Zbl 1034.65032 Birgin, Ernesto G.; Krejić, Nataša; Martínez, José Mario 28 2003 Improving ultimate convergence of an augmented Lagrangian method. Zbl 1211.90222 Birgin, E. G.; Martínez, J. M. 28 2008 Local convergence of an inexact-restoration method and numerical experiments. Zbl 1116.90094 Birgin, E. G.; Martínez, J. M. 27 2005 Second-order negative-curvature methods for box-constrained and general constrained optimization. Zbl 1187.90265 Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 25 2010 On the maximization of a concave quadratic function with box constraints. Zbl 0801.65058 Friedlander, Ana; Martínez, José Mario 25 1994 Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. Zbl 1244.90216 Birgin, Ernesto G.; Martínez, J. M. 25 2012 A quasi-Newton method with modification of one column per iteration. Zbl 0546.90102 Martínez, J. M. 24 1984 Estimation of the optimal constants and the thickness of thin films using unconstrained optimization. Zbl 1017.74501 Birgin, Ernesto G.; Chambouleyron, Ivan; Martínez, José Mario 24 1999 A family of quasi-Newton methods for nonlinear equations with direct secant updates of matrix factorizations. Zbl 0702.65053 Martínez, José Mario 24 1990 The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems. Zbl 1247.90247 Birgin, Ernesto G.; Fernández, Damián; Martínez, J. M. 22 2012 A trust-region strategy for minimization on arbitrary domains. Zbl 0835.90092 Martínez, José Mario; Santos, Sandra Augusta 20 1995 Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models. Zbl 1335.90094 Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L. 19 2016 Spectral projected gradient method with inexact restoration for minimization with nonconvex constraints. Zbl 1220.90123 Gomes-Ruggiero, M. A.; Martínez, J. M.; Santos, S. A. 18 2009 Validation of an augmented Lagrangian algorithm with a Gauss-Newton Hessian approximation using a set of hard-spheres problems. Zbl 0997.90103 Krejić, Nataša; Martínez, José Mario; Mello, Margarida; Pilotta, Elvio A. 18 2000 Orthogonal packing of rectangular items within arbitrary convex regions by nonlinear optimization. Zbl 1110.90072 Birgin, E. G.; Martínez, J. M.; Nishihara, F. H.; Ronconi, D. P. 18 2006 A derivative-free nonmonotone line-search technique for unconstrained optimization. Zbl 1149.65041 Diniz-Ehrhardt, M. A.; Martínez, J. M.; Raydan, M. 18 2008 Nonlinear programming algorithms using trust regions and augmented Lagrangians with nonmonotone penalty parameters. Zbl 1050.90574 Gomes, Francisco A. M.; Maciel, María Cristina; Martínez, José Mario 17 1999 A box-constrained optimization algorithm with negative curvature directions and spectral projected gradients. Zbl 1002.65067 Birgin, E. G.; Martínez, J. M. 17 2001 A limited-memory multipoint symmetric secant method for bound constrained optimization. Zbl 1025.90038 Burdakov, Oleg P.; Martínez, José Mario; Pilotta, Elvio A. 17 2002 Practical active-set Euclidian trust-region method with spectral projected gradients for bound-constrained minimization. Zbl 1079.65070 Marina, Andretta; Birgin, Ernesto G.; Martínez, José Mario 17 2005 Generalization of the methods of Brent and Brown for solving nonlinear simultaneous equations. Zbl 0424.65019 Martinez, Jose Mario 17 1979 Derivative-free methods for nonlinear programming with general lower-level constraints. Zbl 1222.90060 Diniz-Ehrhardt, M. A.; Martínez, J. M.; Pedroso, L. G. 16 2011 Inexact restoration methods for nonlinear programming: Advances and perspectives. Zbl 1118.90319 Martínez, José Mario 16 2005 Solving nonlinear systems of equations with simple constraints. Zbl 0896.65041 Kozakevich, D. N.; Martínez, J. M.; Santos, S. A. 15 1997 On the resolution of linearly constrained convex minimization problems. Zbl 0820.90084 Friedlander, Ana; Martínez, José Mario; Santos, Sandra A. 15 1994 On the solution of mathematical programming problems with equilibrium constraints. Zbl 1031.90067 Andreani, Roberto; Martínez, José Mario 15 2001 Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization. Zbl 1147.90412 Birgin, E. G.; Martínez, J. M. 13 2008 Augmented Lagrangian algorithms based on the spectral projected gradient method for solving nonlinear programming problems. Zbl 1186.90109 Diniz-Ehrhardt, M. A.; Gomes-Ruggiero, M. A.; Martínez, J. M.; Santos, S. A. 13 2004 Inexact restoration approach for minimization with inexact evaluation of the objective function. Zbl 1335.65053 Krejić, Nataša; Martínez, J. M. 13 2016 Packing ellipsoids by nonlinear optimization. Zbl 1377.90088 Birgin, E. G.; Lobato, R. D.; Martínez, J. M. 13 2016 Two-phase model algorithm with global convergence for nonlinear programming. Zbl 0905.90160 Martínez, J. M. 12 1998 Solution of linear complementarity problems using minimization with simple bounds. Zbl 0835.90101 Friedlander, Ana; Martínez, José Mario; Santos, Sandra Augusta 12 1995 A new strategy for solving variational inequalities in bounded polytopes. Zbl 0824.49026 Friedlander, Ana; Martínez, José Mario; Santos, Sandra Augusta 12 1995 Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy. Zbl 0893.65032 Friedlander, Ana; Gomes-Ruggiero, Márcia A.; Kozakevich, Daniel N.; Martínez, José Mario; Santos, Sandra Augusta 12 1997 On regularization and active-set methods with complexity for constrained optimization. Zbl 1390.90512 Birgin, E. G.; Martínez, J. M. 12 2018 An interior-point method for solving box-constrained underdetermined nonlinear systems. Zbl 1064.65035 Francisco, J. B.; Krejić, N.; Martínez, J. M. 12 2005 Inexact restoration method for minimization problems arising in electronic structure calculations. Zbl 1263.90090 Francisco, Juliano B.; Martínez, J. M.; Martínez, Leandro; Pisnitchenko, Feodor 11 2011 Assessing the reliability of general-purpose inexact restoration methods. Zbl 1310.90088 Birgin, E. G.; Bueno, L. F.; Martínez, J. M. 11 2015 Optimality properties of an augmented Lagrangian method on infeasible problems. Zbl 1341.90127 Birgin, E. G.; Martínez, J. M.; Prudente, L. F. 11 2015 Complexity and performance of an augmented Lagrangian algorithm. Zbl 1464.90094 Birgin, E. G.; Martínez, J. M. 11 2020 Density-based globally convergent trust-region methods for self-consistent field electronic structure calculations. Zbl 1110.92069 Francisco, Juliano B.; Martínez, José Mario; Martínez, Leandro 10 2006 On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors. Zbl 1383.65060 Birgin, E. G.; Krejić, N.; Martínez, J. M. 10 2018 Parallel and sequential Kaczmarz methods for solving underdetermined nonlinear equations. Zbl 0606.65035 Martínez, José Mário; de Sampaio, Raimundo J. B. 10 1986 Spectral projected gradient and variable metric methods for optimization with linear inequalities. Zbl 1072.90051 Andreani, Roberto; Birgin, Ernesto G.; Martínez, José Mario; Yuan, Jinyun 10 2005 Quasi-Newton methods for solving underdetermined nonlinear simultaneous equations. Zbl 0729.65035 Martínez, José Mario 10 1991 Solution of finite-dimensional variational inequalities using smooth optimization with simple bounds. Zbl 0892.90169 Andreani, R.; Friedlander, A.; Martínez, J. M. 10 1997 A note on the theoretical convergence properties of the SIMP method. Zbl 1243.90210 Martínez, José Mario 10 2005 A flexible inexact-restoration method for constrained optimization. Zbl 1322.90093 Bueno, L. F.; Haeser, G.; Martínez, J. M. 10 2015 Constrained derivative-free optimization on thin domains. Zbl 1272.90091 Martínez, J. M.; Sobral, F. N. C. 10 2013 Method of sentinels for packing items within arbitrary convex regions. Zbl 1121.90106 Birgin, E. G.; Martínez, J. M.; Mascarenhas, W. F.; Ronconi, D. P. 9 2006 Solving nonlinear simultaneous equations with a generalization of Brent’s method. Zbl 0457.65030 Martinez, Jose Mario 9 1980 Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming. Zbl 1321.90106 Birgin, E. G.; Martínez, J. M.; Prudente, L. F. 9 2014 An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization. Zbl 1353.90143 Bueno, L. F.; Haeser, G.; Martínez, J. M. 9 2016 Continuous optimization methods for structure alignments. Zbl 1135.90043 Andreani, Roberto; Martínez, José Mario; Martínez, Leandro; Yano, Flávio 8 2008 Nonlinear-programming reformulation of the order-value optimization problem. Zbl 1114.90464 Andreani, R.; Dunder, C.; Martínez, J. M. 8 2005 Local convergence theory of inexact Newton methods based on structured least change updates. Zbl 0707.65031 Martínez, José Mario 8 1990 Fixed-point quasi-Newtonian methods. Zbl 0758.65043 Martínez, José Mario 8 1992 Three new algorithms based on the sequential secant method. Zbl 0412.65027 Martinez, Jose Mario 8 1979 Handling infeasibility in a large-scale nonlinear optimization algorithm. Zbl 1256.65058 Martínez, Jose Mario; da Fonseca Prudente, Leandro 8 2012 Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact. Zbl 1461.65130 Birgin, E. G.; Krejić, N.; Martínez, J. M. 8 2020 On the use of third-order models with fourth-order regularization for unconstrained optimization. Zbl 1439.90066 Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A. 8 2020 Packing circles within ellipses. Zbl 1270.90048 Birgin, Ernesto G.; Bustamante, Luis Henrique; Callisaya, Hector Flores; Martínez, Jose Mario 8 2013 Outer trust-region method for constrained optimization. Zbl 1222.90059 Birgin, Ernesto G.; Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M. 7 2011 Addressing the greediness phenomenon in nonlinear programming by means of proximal augmented Lagrangians. Zbl 1190.90205 Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M.; Svaiter, B. F. 7 2010 Algorithms for solving nonlinear systems of equations. Zbl 0828.90125 Martínez, José Mario 7 1994 An extension of the theory of secant preconditioners. Zbl 0925.65092 Martínez, José Mario 7 1995 Partial spectral projected gradient method with active-set strategy for linearly constrained optimization. Zbl 1185.65096 Andretta, Marina; Birgin, Ernesto G.; Martínez, J. M. 7 2010 On high-order model regularization for multiobjective optimization. Zbl 1501.90088 Calderón, L.; Diniz-Ehrhardt, M. A.; Martínez, J. M. 2 2022 Inexact restoration for derivative-free expensive function minimization and applications. Zbl 1494.65038 Birgin, E. G.; Krejić, N.; Martínez, J. M. 2 2022 On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization. Zbl 1504.90147 Amaral, V. S.; Andreani, R.; Birgin, E. G.; Marcondes, D. S.; Martínez, J. M. 1 2022 Secant acceleration of sequential residual methods for solving large-scale nonlinear systems of equations. Zbl 1510.65096 Birgin, Ernesto G.; Martínez, J. M. 1 2022 An alternating direction method of multipliers for the eigenvalue complementarity problem. Zbl 1470.90143 Júdice, Joaquim J.; Fukushima, Masao; Iusem, Alfredo; Martinez, J. M.; Sessa, Valentina 2 2021 Complexity and performance of an augmented Lagrangian algorithm. Zbl 1464.90094 Birgin, E. G.; Martínez, J. M. 11 2020 Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact. Zbl 1461.65130 Birgin, E. G.; Krejić, N.; Martínez, J. M. 8 2020 On the use of third-order models with fourth-order regularization for unconstrained optimization. Zbl 1439.90066 Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A. 8 2020 On the complexity of an inexact restoration method for constrained optimization. Zbl 1453.90162 Bueno, Luís Felipe; Martínez, José Mario 5 2020 Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. Zbl 1432.90119 Brás, C. P.; Martínez, J. M.; Raydan, M. 1 2020 A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. Zbl 1422.90070 Birgin, E. G.; Martínez, J. M. 6 2019 Strict constraint qualifications and sequential optimality conditions for constrained optimization. Zbl 1516.90091 Andreani, Roberto; Martínez, José Mario; Ramos, Alberto; Silva, Paulo J. S. 34 2018 On regularization and active-set methods with complexity for constrained optimization. Zbl 1390.90512 Birgin, E. G.; Martínez, J. M. 12 2018 On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors. Zbl 1383.65060 Birgin, E. G.; Krejić, N.; Martínez, J. M. 10 2018 Fast convergence of an inexact interior point method for horizontal complementarity problems. Zbl 06986854 Arias, C. A.; Martínez, J. M. 3 2018 Under-relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from positron emission tomography. Zbl 1416.90046 Martini dos Santos, Tiara; Reips, Louise; Martínez, José Mario 1 2018 Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. Zbl 1365.90236 Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L. 72 2017 Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization. Zbl 1379.90029 Martínez, J. M.; Raydan, M. 36 2017 The use of quadratic regularization with a cubic descent condition for unconstrained optimization. Zbl 1370.90260 Birgin, E. G.; Martínez, J. M. 29 2017 On high-order model regularization for constrained optimization. Zbl 1387.90200 Martínez, José Mario 28 2017 A nonlinear programming model with implicit variables for packing ellipsoids. Zbl 1406.90115 Birgin, E. G.; Lobato, R. D.; Martínez, J. M. 7 2017 On the minimization of possibly discontinuous functions by means of pointwise approximations. Zbl 1386.90142 Birgin, E. G.; Krejić, N.; Martínez, J. M. 5 2017 A cone-continuity constraint qualification and algorithmic consequences. Zbl 1329.90162 Andreani, Roberto; Martínez, José Mário; Ramos, Alberto; Silva, Paulo J. S. 58 2016 Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models. Zbl 1335.90094 Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L. 19 2016 Inexact restoration approach for minimization with inexact evaluation of the objective function. Zbl 1335.65053 Krejić, Nataša; Martínez, J. M. 13 2016 Packing ellipsoids by nonlinear optimization. Zbl 1377.90088 Birgin, E. G.; Lobato, R. D.; Martínez, J. M. 13 2016 An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization. Zbl 1353.90143 Bueno, L. F.; Haeser, G.; Martínez, J. M. 9 2016 Newton’s method may fail to recognize proximity to optimal points in constrained optimization. Zbl 1356.90137 Andreani, R.; Martínez, J. M.; Santos, L. T. 7 2016 Sequential equality-constrained optimization for nonlinear programming. Zbl 1357.90150 Birgin, E. G.; Bueno, L. F.; Martínez, J. M. 7 2016 Feasibility problems with complementarity constraints. Zbl 1346.90762 Andreani, R.; Júdice, J. J.; Martínez, J. M.; Martini, T. 4 2016 Preface to the special issue on “Many faces of distances”. Zbl 1355.00041 3 2016 On the application of an augmented Lagrangian algorithm to some portfolio problems. Zbl 1338.91126 Birgin, E. G.; Martínez, J. M. 3 2016 Constrained optimization with integer and continuous variables using inexact restoration and projected gradients. Zbl 1392.90104 Birgin, Ernesto G.; Lobato, Rafael D.; Martínez, José Mario 3 2016 Assessing the reliability of general-purpose inexact restoration methods. Zbl 1310.90088 Birgin, E. G.; Bueno, L. F.; Martínez, J. M. 11 2015 Optimality properties of an augmented Lagrangian method on infeasible problems. Zbl 1341.90127 Birgin, E. G.; Martínez, J. M.; Prudente, L. F. 11 2015 A flexible inexact-restoration method for constrained optimization. Zbl 1322.90093 Bueno, L. F.; Haeser, G.; Martínez, J. M. 10 2015 Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization. Zbl 1353.90147 Martínez, J. M.; Raydan, M. 5 2015 Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it. Zbl 1329.90140 Martínez, J. M. 1 2015 On optimization strategies for parameter estimation in models governed by partial differential equations. Zbl 07313375 Carvalho, Esdras P.; Martínez, Julian; Martínez, J. M.; Pisnitchenko, Feodor 1 2015 Practical augmented Lagrangian methods for constrained optimization. Zbl 1339.90312 Birgin, Ernesto G.; Martínez, José Mario 145 2014 Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming. Zbl 1321.90106 Birgin, E. G.; Martínez, J. M.; Prudente, L. F. 9 2014 On the behaviour of constrained optimization methods when Lagrange multipliers do not exist. Zbl 1282.90170 Andreani, R.; Martínez, J. M.; Santos, L. T.; Svaiter, B. F. 7 2014 Inexact restoration method for derivative-free optimization with smooth constraints. Zbl 1280.65050 Bueno, L. F.; Friedlander, A.; Martínez, J. M.; Sobral, F. N. C. 29 2013 Constrained derivative-free optimization on thin domains. Zbl 1272.90091 Martínez, J. M.; Sobral, F. N. C. 10 2013 Packing circles within ellipses. Zbl 1270.90048 Birgin, Ernesto G.; Bustamante, Luis Henrique; Callisaya, Hector Flores; Martínez, Jose Mario 8 2013 Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. Zbl 1244.90216 Birgin, Ernesto G.; Martínez, J. M. 25 2012 The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems. Zbl 1247.90247 Birgin, Ernesto G.; Fernández, Damián; Martínez, J. M. 22 2012 Handling infeasibility in a large-scale nonlinear optimization algorithm. Zbl 1256.65058 Martínez, Jose Mario; da Fonseca Prudente, Leandro 8 2012 Generalized order-value optimization. Zbl 1267.90143 Martínez, José Mario 4 2012 On sequential optimality conditions for smooth constrained optimization. Zbl 1225.90123 Andreani, Roberto; Haeser, Gabriel; Martínez, J. M. 92 2011 Derivative-free methods for nonlinear programming with general lower-level constraints. Zbl 1222.90060 Diniz-Ehrhardt, M. A.; Martínez, J. M.; Pedroso, L. G. 16 2011 Inexact restoration method for minimization problems arising in electronic structure calculations. Zbl 1263.90090 Francisco, Juliano B.; Martínez, J. M.; Martínez, Leandro; Pisnitchenko, Feodor 11 2011 Outer trust-region method for constrained optimization. Zbl 1222.90059 Birgin, Ernesto G.; Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M. 7 2011 A projected-gradient interior-point algorithm for complementarity problems. Zbl 1229.65097 Andreani, Roberto; Júdice, Joaquim J.; Martínez, José Mario; Patrício, Joao 6 2011 Low order-value approach for solving var-constrained optimization problems. Zbl 1269.65052 Birgin, E. G.; Bueno, L. F.; Krejić, N.; Martínez, J. M. 6 2011 On the natural merit function for solving complementarity problems. Zbl 1236.90127 Andreani, R.; Júdice, J. J.; Martínez, J. M.; Patrício, J. 4 2011 On sequential optimality conditions for smooth constrained optimization. Zbl 1231.90341 Andreani, Roberto; Haeser, Gabriel; Martínez, J. M. 2 2011 Global minimization using an augmented Lagrangian method with variable lower-level constraints. Zbl 1198.90322 Birgin, E. G.; Floudas, C. A.; Martínez, J. M. 70 2010 A new sequential optimality condition for constrained optimization and algorithmic consequences. Zbl 1217.90148 Andreani, Roberto; Martínez, J. M.; Svaiter, B. F. 53 2010 Second-order negative-curvature methods for box-constrained and general constrained optimization. Zbl 1187.90265 Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 25 2010 Addressing the greediness phenomenon in nonlinear programming by means of proximal augmented Lagrangians. Zbl 1190.90205 Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M.; Svaiter, B. F. 7 2010 Partial spectral projected gradient method with active-set strategy for linearly constrained optimization. Zbl 1185.65096 Andretta, Marina; Birgin, Ernesto G.; Martínez, J. M. 7 2010 Spectral projected gradient method with inexact restoration for minimization with nonconvex constraints. Zbl 1220.90123 Gomes-Ruggiero, M. A.; Martínez, J. M.; Santos, S. A. 18 2009 Low order-value optimization and applications. Zbl 1169.90448 Andreani, R.; Martínez, J. M.; Martínez, L.; Yano, F. S. 7 2009 Augmented Lagrangian methods under the constant positive linear dependence constraint qualification. Zbl 1163.90041 Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 87 2008 Improving ultimate convergence of an augmented Lagrangian method. Zbl 1211.90222 Birgin, E. G.; Martínez, J. M. 28 2008 A derivative-free nonmonotone line-search technique for unconstrained optimization. Zbl 1149.65041 Diniz-Ehrhardt, M. A.; Martínez, J. M.; Raydan, M. 18 2008 Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization. Zbl 1147.90412 Birgin, E. G.; Martínez, J. M. 13 2008 Continuous optimization methods for structure alignments. Zbl 1135.90043 Andreani, Roberto; Martínez, José Mario; Martínez, Leandro; Yano, Flávio 8 2008 Trust-region superposition methods for protein alignment. Zbl 1158.65319 Andreani, R.; Martínez, J. M.; Martínez, L. 2 2008 Order-value optimization and new applications. Zbl 1179.65071 Martínez, José Mario 1 2008 On augmented Lagrangian methods with general lower-level constraints. Zbl 1151.49027 Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 168 2007 Euler discretization and inexact restoration for optimal control. Zbl 1135.49019 Kaya, C. Y.; Martínez, J. M. 31 2007 On second-order optimality conditions for nonlinear programming. Zbl 1172.90490 Andreani, R.; Martínez, J. M.; Schuverdt, M. L. 30 2007 Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Zbl 1122.65049 La Cruz, William; Martínez, José Mario; Raydan, Marcos 163 2006 Orthogonal packing of rectangular items within arbitrary convex regions by nonlinear optimization. Zbl 1110.90072 Birgin, E. G.; Martínez, J. M.; Nishihara, F. H.; Ronconi, D. P. 18 2006 Density-based globally convergent trust-region methods for self-consistent field electronic structure calculations. Zbl 1110.92069 Francisco, Juliano B.; Martínez, José Mario; Martínez, Leandro 10 2006 Method of sentinels for packing items within arbitrary convex regions. Zbl 1121.90106 Birgin, E. G.; Martínez, J. M.; Mascarenhas, W. F.; Ronconi, D. P. 9 2006 Quais-Newton methods for order-value optimization and value-at-risk calculations. Zbl 1114.90154 Andreani, R.; Martínez, J. M.; Salvatierra, M.; Yano, F. 7 2006 Global order-value optimization by means of a multistart harmonic oscillator tunneling strategy. Zbl 1100.90032 Andreani, R.; Martinez, J. M.; Salvatierra, M.; Yano, F. 3 2006 On the relation between constant positive linear dependence condition and quasinormality constraint qualification. Zbl 1125.90058 Andreani, R.; Martinez, J. M.; Schuverdt, M. L. 77 2005 Numerical comparison of augmented Lagrangian algorithms for nonconvex problems. Zbl 1101.90066 Birgin, E. G.; Castillo, R. A.; Martínez, J. M. 45 2005 Optimizing the packing of cylinders into a rectangular container: A nonlinear approach. Zbl 1067.90133 Birgin, E. G.; Martínez, J. M.; Ronconi, D. P. 44 2005 Local convergence of an inexact-restoration method and numerical experiments. Zbl 1116.90094 Birgin, E. G.; Martínez, J. M. 27 2005 Practical active-set Euclidian trust-region method with spectral projected gradients for bound-constrained minimization. Zbl 1079.65070 Marina, Andretta; Birgin, Ernesto G.; Martínez, José Mario 17 2005 Inexact restoration methods for nonlinear programming: Advances and perspectives. Zbl 1118.90319 Martínez, José Mario 16 2005 An interior-point method for solving box-constrained underdetermined nonlinear systems. Zbl 1064.65035 Francisco, J. B.; Krejić, N.; Martínez, J. M. 12 2005 Spectral projected gradient and variable metric methods for optimization with linear inequalities. Zbl 1072.90051 Andreani, Roberto; Birgin, Ernesto G.; Martínez, José Mario; Yuan, Jinyun 10 2005 A note on the theoretical convergence properties of the SIMP method. Zbl 1243.90210 Martínez, José Mario 10 2005 Nonlinear-programming reformulation of the order-value optimization problem. Zbl 1114.90464 Andreani, R.; Dunder, C.; Martínez, J. M. 8 2005 Spectral gradient methods for linearly constrained optimization. Zbl 1079.90164 Martínez, J. M.; Pilotta, E. A.; Raydan, M. 6 2005 Augmented Lagrangian algorithms based on the spectral projected gradient method for solving nonlinear programming problems. Zbl 1186.90109 Diniz-Ehrhardt, M. A.; Gomes-Ruggiero, M. A.; Martínez, J. M.; Santos, S. A. 13 2004 Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042 Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 84 2003 A practical optimality condition without constraint qualifications for nonlinear programming. Zbl 1033.90090 Martínez, J. M.; Svaiter, B. F. 37 2003 Globally convergent inexact quasi-Newton methods for solving nonlinear systems. Zbl 1034.65032 Birgin, Ernesto G.; Krejić, Nataša; Martínez, José Mario 28 2003 Order-value optimization: formulation and solution by means of a primal Cauchy method. Zbl 1083.90047 Andreani, Roberto; Dunder, Cibele; Martínez, José Mario 7 2003 Discrete Newton’s method with local variations for solving large-scale nonlinear systems. Zbl 1098.90069 Diniz-Ehrhardt, Maria A.; Gomes-Ruggiero, Márcia A.; Lopes, Vera L. Rocha; Martínez, José Mario 6 2003 Minimization subproblems and heuristics for an applied clustering problem. Zbl 1011.90040 Birgin, E. G.; Martínez, J. M.; Ronconi, D. P. 3 2003 Optimization problems in the estimation of parameters of thin films and the elimination of the influence of the substrate. Zbl 1036.78020 Birgin, Ernesto G.; Chambouleyron, Ivan E.; Martínez, José Mario 2 2003 An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches. Zbl 1071.65039 Dai, Yu-Hong; Martínez, José Mario; Yuan, Jin-Yun 1 2003 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,105 Authors 134 Martínez, José Mario 57 Birgin, Ernesto G. 42 Andreani, Roberto 35 Haeser, Gabriel 32 Kanzow, Christian 32 Santos, Sandra Augusta 30 Bala Abubakar, Auwal 30 Dai, Yu-Hong 30 Krejić, Nataša 24 Kumam, Poom 24 Raydan, Marcos 19 Toint, Philippe Louis 18 Dostál, Zdeněk 16 Kaya, C. Yalçin 16 Mohammad, Hassan 16 Waziri, Mohammed Yusuf 16 Xiao, Yunhai 16 Yuan, Gonglin 15 Grapiglia, Geovani Nunes 15 Ibrahim, Abdulkarim Hassan 15 Izmailov, Alekseĭ F. 15 Solodov, Mikhail V. 14 Schuverdt, María Laura 13 Andrei, Neculai 13 Kimiaei, Morteza 13 la Cruz, William 13 Liu, Hongwei 13 Nesterov, Yurii 13 Silva, Paulo J. S. 13 Zanni, Luca 12 Babaie-Kafaki, Saman 12 Bellavia, Stefania 12 Bueno, Luís Felipe 12 Cheng, Wanyou 12 Fernandes, Edite M. G. P. 12 Gonçalves, Max L. N. 12 Huang, Yakui 12 Júdice, Joaquim João 12 Robinson, Daniel P. 11 Awwal, Aliyu Muhammed 11 Gonçalves, Douglas Soares 11 Gratton, Serge 11 Karas, Elizabeth Wegner 11 Li, Donghui 11 Liu, Jinkui 11 Lu, Zhaosong 11 Morini, Benedetta 11 Pu, Dingguo 11 Rinaldi, Francesco 11 Steck, Daniel Daniel 11 Stoyan, Yuriĭ Grygorovych 10 Curtis, Frank E. 10 Fukuda, Ellen Hidemi 10 Lucidi, Stefano 10 Prudente, Leandro F. 10 Qi, Liqun 10 Ramos, Alberto 10 Rocha, Ana Maria A. C. 10 Ruggiero, Valeria 10 Wan, Zhong 9 Bonettini, Silvia 9 Burachik, Regina Sandra 9 Diniz-Ehrhardt, Maria Aparecida 9 Gomes-Ruggiero, Márcia Ap. 9 Leong, Wah June 9 Ribeiro, Ademir Alves 9 Secchin, Leonardo D. 9 Xia, Yong 9 Yu, Zhensheng 8 Amini, Keyvan 8 Chen, Zhongwen 8 Cristofari, Andrea 8 di Serafino, Daniela 8 Fukushima, Masao 8 Jiang, Bo 8 Lužanin, Zorana 8 Mehlitz, Patrick 8 Mito, Leonardo M. 8 Porta, Federica 8 Sabi’u, Jamilu 8 Schwartz, Alexandra 8 Śmietański, Marek J. 8 Wei, Zengxin 8 Yuan, Ya-xiang 7 Ahmed, Kabiru 7 Ahookhosh, Masoud 7 Cartis, Coralia 7 Chen, Xiaojun 7 Costa, M. Fernanda P. 7 Ferreira, Orizon Pereira 7 Francisco, Juliano B. 7 Friedlander, Ana 7 Liu, Xinwei 7 Liu, Zexian 7 Porcelli, Margherita 7 Romanova, Tatiana E. 7 Royer, Clément W. 7 Zhang, Hongchao 7 Zhu, Detong 6 Du, Shouqiang ...and 2,005 more Authors all top 5 Cited in 230 Serials 151 Computational Optimization and Applications 111 Journal of Optimization Theory and Applications 98 Optimization Methods & Software 96 Journal of Computational and Applied Mathematics 84 SIAM Journal on Optimization 77 Numerical Algorithms 73 Mathematical Programming. Series A. 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Scienze Matematiche 3 SIAM Journal on Imaging Sciences 3 AIMS Mathematics 3 SN Operations Research Forum 2 Computers and Fluids 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 International Journal of Mathematics and Mathematical Sciences 2 Kybernetika 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Journal of the Nigerian Mathematical Society 2 Journal of Complexity 2 Science in China. 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