Computational methods in optimization

• Grant number: 13/05475-7
• Support Opportunities: Research Projects - Thematic Grants
• Start date: October 01, 2013
• End date: September 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Sandra Augusta Santos
• Grantee: Sandra Augusta Santos
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Pesquisadores principais: Ernesto Julián Goldberg Birgin ; José Mário Martinez Perez ; Roberto Andreani
• Associated researchers: Ana Friedlander de Martinez Perez ; Fedor Pisnitchenko ; Francisco de Assis Magalhães Gomes Neto ; Gabriel Haeser ; Leandro Martinez ; Lucio Tunes dos Santos ; Luis Felipe Cesar da Rocha Bueno ; Marcia Aparecida Gomes Ruggiero ; Maria Aparecida Diniz Ehrhardt ; Paulo José da Silva e Silva
• Associated research grant(s): 18/05745-8 - 23rd International Symposium on Mathematical Programming (ISMP 2018), AR.EXT; 16/03516-6 - 5th International Conference on Continuous Optimization ICCOPT 2016, AR.EXT; 14/18711-3 - Mathematical modelling systems and decisions, AV.EXT; + associated grants 14/11272-4 - Multiplier methods and its variations: visit of professor Jonathan Eckstein to the Continuous Optimization group from IMECC - UNICAMP, AV.EXT; 14/50309-0 - Solving nonconvex formulations of Euclidean steiner tree problems in N-space, AP.R; 14/01446-5 - SIAM conference on optimization, AR.EXT; 14/03889-1 - SIAM conference on optimization, AR.EXT - associated grants
• Associated scholarship(s): 17/17840-2 - Error estimation in nonlinear optimization, BP.DR; 17/12187-9 - Second-order algorithms for nonlinear optimization with strong optimality properties, BP.DR; 17/15936-2 - Implementable VU-decomposition methods for composite optimization, BP.PD; + associated scholarships 17/03504-0 - Methods for nonlinear programming with evaluation complexity results, BP.PD; 16/20666-1 - Generation of Tessellations using Continuous Optimization techniques, BP.MS; 16/16999-5 - The sphere covering problem via convex algebraic geometry, BP.MS; 16/02092-8 - On the second-order information in nonlinear optimization, BE.PQ; 15/18053-9 - Study and implementation of deterministic methods for global optimization of nonlinear programming problems, BP.PD; 14/14228-6 - Block-coordinate descent methods and identification of active constraints in huge-scale optimization, BP.DR; 13/23494-9 - Large-scale linearly constrained minimization with convergence to second order stationary points, BP.DR; 13/12964-4 - Derivative-free methods for nonlinear programming: constrained and noisy problems, BP.DR; 13/14615-7 - On the nonmonotone line search in gradient sampling methods for nonconvex and nonsmooth optimization, BP.DR - associated scholarships

Abstract

This project is a continuation of previous Thematic Projects of the same research group, coordinated by Professor José Mario Martínez, the last of which the last of which up to 2011 (grant 06-53768-0). The current coordinator is Dr. Sandra Augusta Santos, nevertheless Prof. Martínez proceed integrating the team. The aim of the project is the development and the analysis of algorithms for the distinct features of Optimization, mainly Continuous Optimization. The project rests upon applications that have been addressed by the research team. Solid theoretically based algorithms are focused, involving a precise characterization of the considered problems, with a carefully developed and competitive computational implementation, and connections with Engineering and Applied Science. (AU)

Scientific publications

(109)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MARTINEZ, LEANDRO. MEASURING THE CONDUCTIVITY OF VERY DILUTE ELECTROLYTE SOLUTIONS, DROP BY DROP. Química Nova, v. 41, n. 7, p. 814-817, JUL 2018. (13/05475-7, 10/16947-9, 13/08293-7)

RIBEIRO, ADEMIR A.; SACHINE, MAEL; SANTOS, SANDRA A.. On the augmented subproblems within sequential methods for nonlinear programming. COMPUTATIONAL & APPLIED MATHEMATICS, v. 36, n. 3, p. 1255-1272, SEP 2017. (13/07375-0, 13/05475-7)

HAESER, G.; RAMOS, A.. New Constraint Qualifications with Second-Order Properties in Nonlinear Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, NOV 2019. (13/05475-7, 18/24293-0, 17/18308-2)

BEHLING, R.; FISCHER, A.; HAESER, G.; RAMOS, A.; SCHOENEFELD, K.. On the constrained error bound condition and the projected Levenberg-Marquardt method. OPTIMIZATION, v. 66, n. 8, SI, p. 1397-1411, 2017. (13/05475-7)

BIRGIN, ERNESTO G.; GOMEZ, WALTER; HAESER, GABRIEL; MITO, LEONARDO M.; SANTOS, DAIANA O.. An Augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problem. COMPUTATIONAL & APPLIED MATHEMATICS, v. 39, n. 1, MAR 2020. (16/16999-5, 13/05475-7, 17/17840-2, 18/24293-0, 17/18308-2)

ANDREANI, ROBERTO; RAMOS, ALBERTO; RIBEIRO, ADEMIR A.; SECCHIN, LEONARDO D.; VELAZCO, ARIEL R.. On the convergence of augmented Lagrangian strategies for nonlinear programming. IMA JOURNAL OF NUMERICAL ANALYSIS, v. 42, n. 2, p. 31-pg., 2021-04-27. (13/07375-0, 13/05475-7)

DE OLIVEIRA, IVAN PIRES; LESCANO, CAROLINE HONAISER; DE NUCCI, GILBERTO. In Silico Mapping of Essential Residues in the Catalytic Domain of PDE5 Responsible for Stabilization of Its Commercial Inhibitors. SCIENTIA PHARMACEUTICA, v. 87, n. 4, DEC 2019. (13/22360-9, 10/16947-9, 13/08293-7, 13/05475-7, 17/02201-4, 17/26687-3)

BRAS, C. P.; MARTINEZ, J. M.; RAYDAN, M.. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 75, n. 1, OCT 2019. (13/05475-7, 13/07375-0)

HAESER, GABRIEL; LIU, HONGCHENG; YE, YINYU. Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary. MATHEMATICAL PROGRAMMING, v. 178, n. 1-2, p. 263-299, NOV 2019. (16/02092-8, 13/05475-7)

ANDREANI, R.; CUSTODIO, A. L.; RAYDAN, M.. Using first-order information in direct multisearch for multiobjective optimization. OPTIMIZATION METHODS & SOFTWARE, v. N/A, p. 22-pg., 2022-04-21. (17/18308-2, 13/05475-7)

ANDREANI, R.; HAESER, G.; SECCHIN, L. D.; SILVA, P. J. S.. NEW SEQUENTIAL OPTIMALITY CONDITIONS FOR MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS AND ALGORITHMIC CONSEQUENCES. SIAM JOURNAL ON OPTIMIZATION, v. 29, n. 4, p. 3201-3230, 2019. (13/07375-0, 17/18308-2, 13/05475-7)

BUENO, L. F.; HAESER, G.; LARA, F.; ROJAS, F. N.. An Augmented Lagrangian method for quasi-equilibrium problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 76, n. 3, SI, p. 737-766, JUL 2020. (13/05475-7, 18/24293-0, 17/18308-2)

ANDREANI, ROBERTO; SECCHIN, LEONARDO D.; SILVA, PAULO J. S.. CONVERGENCE PROPERTIES OF A SECOND ORDER AUGMENTED LAGRANGIAN METHOD FOR MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS. SIAM JOURNAL ON OPTIMIZATION, v. 28, n. 3, p. 2574-2600, 2018. (13/07375-0, 13/05475-7)

ANDREANI, ROBERTO; GOMEZ, WALTER; HAESER, GABRIEL; MITO, LEONARDO M.; RAMOS, ALBERTO. On Optimality Conditions for Nonlinear Conic Programming. MATHEMATICS OF OPERATIONS RESEARCH, p. 1-26, DEC 2021. (13/07375-0, 17/18308-2, 18/24293-0, 17/17840-2, 13/05475-7)

BEHLING, ROGER; HAESER, GABRIEL; RAMOS, ALBERTO; VIANA, DAIANA S.. On a Conjecture in Second-Order Optimality Conditions. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 176, n. 3, p. 625-633, MAR 2018. (16/02092-8, 13/05475-7)

DE OLIVEIRA, IVAN PIRES; LESCANO, CAROLINE HONAISER; DE NUCCI, GILBERTO. Q817G mutation in phosphodiesterase type 5: Conformational analysis and dissociation profile of the inhibitor Tadalafil. CHEMICAL BIOLOGY & DRUG DESIGN, v. 93, n. 4, p. 419-429, APR 2019. (13/08293-7, 13/05475-7, 10/16947-9)

GOMES, F. M.; MARTINEZ, J. M.; RAYDAN, M.. On the computation of large-scale self-consistent-field iterations. JOURNAL OF MATHEMATICAL CHEMISTRY, v. 55, n. 5, p. 1158-1172, MAY 2017. (10/10133-0, 13/07375-0, 13/05475-7)

BIRGIN, E. G.; GARDENGHI, J. L.; MARTINEZ, J. M.; SANTOS, S. A.; TOINT, PH. L.. Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. MATHEMATICAL PROGRAMMING, v. 163, n. 1-2, p. 359-368, MAY 2017. (13/03447-6, 10/10133-0, 13/23494-9, 13/05475-7, 13/07375-0)

DINIZ-EHRHARDT, M. A.; FERREIRA, D. G.; SANTOS, S. A.. A pattern search and implicit filtering algorithm for solving linearly constrained minimization problems with noisy objective functions. OPTIMIZATION METHODS & SOFTWARE, v. 34, n. 4, p. 827-852, JUL 4 2019. (13/12964-4, 13/05475-7, 13/07375-0)

ANDREANI, ROBERTO; FAZZIO, NADIA S.; SCHUVERDT, MARIA L.; SECCHIN, LEONARDO D.. A SEQUENTIAL OPTIMALITY CONDITION RELATED TO THE QUASI-NORMALITY CONSTRAINT QUALIFICATION AND ITS ALGORITHMIC CONSEQUENCES. SIAM JOURNAL ON OPTIMIZATION, v. 29, n. 1, p. 743-766, 2019. (13/07375-0, 13/05475-7)

MARTINEZ, JOSE MARIO. ON HIGH-ORDER MODEL REGULARIZATION FOR CONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 27, n. 4, p. 2447-2458, 2017. (13/07375-0, 10/10133-0, 13/03447-6, 13/05475-7)

CEVELIN, BRUNO H.; CONTI, DANTE; DETSCH, DENISE T.; DINIZ-EHRHARDT, MARIA A.; MARTINEZ, JOSE MARIO. Fitting of 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, v. 5, n. 1, p. 117-139, JAN-JUN 2017. (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0)

LOPEZ, ALVARO J.; MARTINEZ, LEANDRO. Parametric models to compute tryptophan fluorescence wavelengths from classical protein simulations. Journal of Computational Chemistry, v. 39, n. 19, p. 1249-1258, JUL 15 2018. (13/08293-7, 13/05475-7, 10/16947-9)

ANDREANI, ROBERTO; HAESER, GABRIEL; RAMOS, ALBERTO; SILVA, PAULO J. S.. A second-order sequential optimality condition associated to the convergence of optimization algorithms. IMA JOURNAL OF NUMERICAL ANALYSIS, v. 37, n. 4, p. 1902-1929, OCT 2017. (13/07375-0, 13/05475-7, 12/20339-0, 10/19720-5)

BIRGIN, E. G.; HAESER, G.; RAMOS, A.. Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 69, n. 1, p. 51-75, JAN 2018. (13/07375-0, 16/02092-8, 16/01860-1, 13/05475-7, 13/03447-6)

DOS SANTOS, RICARDO N.; FERRARI, ALLAN J. R.; DE JESUS, HUGO C. R.; GOZZO, FABIO C.; MORCOS, FARUCK; MARTINEZ, LEANDRO. Enhancing protein fold determination by exploring the complementary information of chemical cross-linking and coevolutionary signals. Bioinformatics, v. 34, n. 13, p. 2201-2208, JUL 1 2018. (13/08293-7, 13/05475-7, 16/13195-2, 14/17264-3, 15/13667-9, 10/16947-9)

MACIEL, MARIA C.; SANTOS, SANDRA A.; SOTTOSANTO, GRACIELA N.. On the Fritz John saddle point problem for differentiable multiobjective optimization. OPSEARCH, v. 53, n. 4, p. 917-933, DEC 2016. (13/05475-7, 13/07375-0)

ANDREANI, ROBERTO; MARTINEZ, JOSE MARIO; RAMOS, ALBERTO; SILVA, PAULO J. S.. A CONE-CONTINUITY CONSTRAINT QUALIFICATION AND ALGORITHMIC CONSEQUENCES. SIAM JOURNAL ON OPTIMIZATION, v. 26, n. 1, p. 96-110, 2016. (13/07375-0, 13/05475-7, 12/20339-0)

BIRGIN, E. G.; BUENO, L. F.; MARTINEZ, J. M.. Sequential equality-constrained optimization for nonlinear programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 65, n. 3, p. 699-721, DEC 2016. (13/07375-0, 13/05475-7, 15/02528-8, 10/10133-0, 13/03447-6)

KARAS, ELIZABETH W.; SANTOS, SANDRA A.; SVAITER, BENAR F.. Algebraic rules for computing the regularization parameter of the Levenberg-Marquardt method. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 65, n. 3, p. 723-751, DEC 2016. (13/07375-0, 13/05475-7)

BIRGIN, E. G.; LOBATO, R. D.; MARTINEZ, J. M.. Packing ellipsoids by nonlinear optimization. Journal of Global Optimization, v. 65, n. 4, p. 709-743, AUG 2016. (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6, 12/23916-8)

JARA, GABRIEL E.; MARTINEZ, LEANDRO. Anthrax Edema Factor: An Ion-Adaptive Mechanism of Catalysis with Increased Transition-State Conformational Flexibility. Journal of Physical Chemistry B, v. 120, n. 27, p. 6504-6514, JUL 14 2016. (13/08293-7, 13/05475-7, 13/22360-9, 10/16947-9)

ROBERTO ANDREANI; PAULO J.S. SILVA. CONSTANT RANK CONSTRAINT QUALIFICATIONS: A GEOMETRIC INTRODUCTION. Pesquisa Operacional, v. 34, n. 3, p. 481-494, 2014-12-00. (13/05475-7, 13/07375-0, 12/20339-0)

BIRGIN, E. G.; GARDENGHI, J. L.; MARTINEZ, J. M.; SANTOS, S. A.; TOINT, PH. L.. EVALUATION COMPLEXITY FOR NONLINEAR CONSTRAINED OPTIMIZATION USING UNSCALED KKT CONDITIONS AND HIGH-ORDER MODELS. SIAM JOURNAL ON OPTIMIZATION, v. 26, n. 2, p. 951-967, 2016. (13/07375-0, 13/23494-9, 13/05475-7, 10/10133-0, 13/03447-6)

ANDRETTA, M.; BIRGIN, E. G.; RAYDAN, M.. An inner-outer nonlinear programming approach for constrained quadratic matrix model updating. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 66-67, p. 78-88, JAN 2016. (13/07375-0, 10/10133-0, 13/03447-6, 13/05475-7)

ANDRADE, RICARDO; BIRGIN, ERNESTO G.; MORABITO, REINALDO; RONCONI, DEBORA P.. MIP models for two-dimensional non-guillotine cutting problems with usable leftovers. Journal of the Operational Research Society, v. 65, n. 11, p. 1649-1663, NOV 2014. (13/07375-0, 10/10133-0, 13/05475-7)

MARTINEZ, LEANDRO. Introducing the Levinthal's Protein Folding Paradox and Its Solution. Journal of Chemical Education, v. 91, n. 11, p. 1918-1923, NOV 2014. (13/05475-7, 10/16947-9)

SANTOS, S. A.; SILVA, R. C. M.. An inexact and nonmonotone proximal method for smooth unconstrained minimization. Journal of Computational and Applied Mathematics, v. 269, p. 86-100, OCT 15 2014. (13/07375-0, 13/05475-7)

KARAS, ELIZABETH W.; SANTOS, SANDRA A.; SVAITER, BENAR F.. Algebraic rules for quadratic regularization of Newton's method. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 60, n. 2, p. 343-376, MAR 2015. (13/07375-0, 13/05475-7)

BUENO, L. F.; HAESER, G.; MARTINEZ, J. M.. A Flexible Inexact-Restoration Method for Constrained Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 165, n. 1, p. 188-208, APR 2015. (13/05475-7, 10/19720-5)

BIRGIN, E. G.; MARTINEZ, J. M.; PRUDENTE, L. F.. Optimality properties of an Augmented Lagrangian method on infeasible problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 60, n. 3, p. 609-631, APR 2015. (13/07375-0, 10/10133-0, 13/05475-7)

MARTINEZ, LEANDRO. Automatic Identification of Mobile and Rigid Substructures in Molecular Dynamics Simulations and Fractional Structural Fluctuation Analysis. PLoS One, v. 10, n. 3, MAR 27 2015. (13/05475-7, 10/16947-9)

BIRGIN, E. G.; MARTINEZ, J. M.. THE USE OF QUADRATIC REGULARIZATION WITH A CUBIC DESCENT CONDITION FOR UNCONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 27, n. 2, p. 1049-1074, 2017. (13/07375-0, 13/05475-7, 14/18711-3, 13/03447-6)

ANDREANI, ROBERTO; RAYDAN, MARCOS. Properties of the delayed weighted gradient method. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 78, n. 1, p. 167-180, JAN 2021. (17/18308-2, 13/05475-7)

BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. ITERATION AND EVALUATION COMPLEXITY FOR THE MINIMIZATION OF FUNCTIONS WHOSE COMPUTATION IS INTRINSICALLY INEXACT. Mathematics of Computation, v. 89, n. 321, p. 253-278, JAN 2020. (13/03447-6, 13/05475-7, 13/07375-0, 14/18711-3, 16/01860-1)

FERRARI, ALLAN J. R.; GOZZO, FABIO C.; MARTINEZ, LEANDRO. Statistical force-field for structural modeling using chemical cross-linking/mass spectrometry distance constraints. Bioinformatics, v. 35, n. 17, p. 3005-3012, SEP 1 2019. (13/08293-7, 13/05475-7, 18/14274-9, 16/13195-2, 14/17264-3, 13/23814-3, 10/16947-9)

FERRARI, ALLAN J. R.; CLASEN, MILAN A.; KURT, LOUISE; CARVALHO, PAULO C.; GOZZO, FABIO C.; MARTINEZ, LEANDRO. TopoLink: evaluation of structural models using chemical crosslinking distance constraints. Bioinformatics, v. 35, n. 17, p. 3169-3170, SEP 1 2019. (13/08293-7, 13/05475-7, 18/14274-9, 16/13195-2, 10/16947-9)

OVIEDO, HARRY; ANDREANI, ROBERTO; RAYDAN, MARCOS. A family of optimal weighted conjugate-gradient-type methods for strictly convex quadratic minimization. NUMERICAL ALGORITHMS, NOV 2021. (13/05475-7, 17/18308-2)

DETSCH, DENISE TREVISOLI; CONTI, DANTE; DINIZ-EHRHARDT, MARIA APARECIDA; MARTINEZ, JOSE MARIO. On the controlling of temperature: A proposal for a real-time controller in broiler houses. CIENTIA AGRICOL, v. 75, n. 6, p. 7-pg., 2018-11-01. (13/07375-0, 13/05475-7, 13/03447-6, 10/10133-0)

MARTINEZ, LEANDRO. MEASURING THE CONDUCTIVITY OF VERY DILUTE ELECTROLYTE SOLUTIONS, DROP BY DROP. Química Nova, v. 41, n. 7, p. 4-pg., 2018-07-01. (13/08293-7, 13/05475-7, 10/16947-9)

HAESER, G.; RAMOS, A.. New Constraint Qualifications with Second-Order Properties in Nonlinear Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 184, n. 2, p. 13-pg., 2019-11-08. (17/18308-2, 18/24293-0, 13/05475-7)

COSTA, SUELI I. R.; SANTOS, SANDRA A.; STRAPASSON, JOAO E.. Fisher information distance: A geometrical reading. DISCRETE APPLIED MATHEMATICS, v. 197, p. 11-pg., 2015-12-31. (13/07375-0, 11/01096-6, 13/05475-7, 13/25977-7)

ANDRADE, R.; BIRGIN, E. G.; MORABITO, R.. Two-stage two-dimensional guillotine cutting stock problems with usable leftover. International Transactions in Operational Research, v. 23, n. 1-2, p. 25-pg., 2016-01-01. (13/07375-0, 13/05475-7, 10/10133-0)

BIRGIN, E. G.; MARTINEZ, J. M.. On the application of an Augmented Lagrangian algorithm to some portfolio problems. EURO JOURNAL ON COMPUTATIONAL OPTIMIZATION, v. 4, n. 1, p. 14-pg., 2016-02-01. (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6)

BEHLING, R.; FISCHER, A.; HAESER, G.; RAMOS, A.; SCHOENEFELD, K.. On the constrained error bound condition and the projected Levenberg-Marquardt method. OPTIMIZATION, v. 66, n. 8, p. 15-pg., 2017-01-01. (13/05475-7)

RIBEIRO, ADEMIR A.; SACHINE, MAEL; SANTOS, SANDRA A.. On the augmented subproblems within sequential methods for nonlinear programming. COMPUTATIONAL & APPLIED MATHEMATICS, v. 36, n. 3, p. 18-pg., 2017-09-01. (13/07375-0, 13/05475-7)

COSTA, SUELI I. R.; SANTOS, SANDRA A.; STRAPASSON, JOAO E.. Fisher information distance: A geometrical reading. DISCRETE APPLIED MATHEMATICS, v. 197, n. SI, p. 59-69, DEC 31 2015. (13/25977-7, 13/05475-7, 13/07375-0, 11/01096-6)

BIRGIN, E. G.; MARTINEZ, J. M.. On the application of an Augmented Lagrangian algorithm to some portfolio problems. EURO JOURNAL ON COMPUTATIONAL OPTIMIZATION, v. 4, n. 1, SI, p. 79-92, FEB 2016. (13/07375-0, 10/10133-0, 13/03447-6, 13/05475-7)

RIBEIRO, ADEMIR A.; SACHINE, MAEL; SANTOS, SANDRA A.. On the approximate solutions of augmented subproblems within sequential methods for nonlinear programming. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 5, p. 6601-6618, NOV 2018. (13/05475-7, 13/07375-0)

BUENO, L. F.; HAESER, G.; LARA, F.; ROJAS, F. N.. An Augmented Lagrangian method for quasi-equilibrium problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, FEB 2020. (17/18308-2, 18/24293-0, 13/05475-7)

MOHAMMAD, HASSAN; SANTOS, SANDRA A.. A structured diagonal Hessian approximation method with evaluation complexity analysis for nonlinear least squares. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 5, p. 6619-6653, NOV 2018. (13/07375-0, 13/05475-7)

ANDRADE, R.; BIRGIN, E. G.; MORABITO, R.. Two-stage two-dimensional guillotine cutting stock problems with usable leftover. International Transactions in Operational Research, v. 23, n. 1-2, SI, p. 121-145, JAN-MAR 2016. (13/07375-0, 10/10133-0, 13/05475-7)

DETSCH, DENISE TREVISOLI; CONTI, DANTE; DINIZ-EHRHARDT, MARIA APARECIDA; MARTINEZ, JOSE MARIO. On the controlling of temperature: A proposal for a real-time controller in broiler houses. Scientia Agricola, v. 75, n. 6, p. 445-451, NOV-DEC 2018. (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0)

HAESER, GABRIEL. A second-order optimality condition with first- and second-order complementarity associated with global convergence of algorithms. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 70, n. 2, p. 615-639, JUN 2018. (16/02092-8, 13/05475-7)

BIRGIN, E. G.; MARTINEZ, J. M.. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 73, n. 3, p. 707-753, JUL 2019. (13/07375-0, 13/05475-7, 16/01860-1, 18/24293-0)

BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. On the minimization of possibly discontinuous functions by means of pointwise approximations. Optimization Letters, v. 11, n. 8, p. 1623-1637, DEC 2017. (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0, 14/18711-3)

BEGIATO, RODOLFO G.; CUSTODIO, ANA L.; GOMES-RUGGIERO, MARCIA A.. A global hybrid derivative-free method for high-dimensional systems of nonlinear equations. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, NOV 2019. (13/07375-0, 13/05475-7)

ANDREANI, ROBERTO; RAMIREZ, VIVIANA A.; SANTOS, SANDRA A.; SECCHIN, LEONARDO D.. Bilevel optimization with a multiobjective problem in the lower level. NUMERICAL ALGORITHMS, v. 81, n. 3, p. 915-946, JUL 2019. (13/05475-7, 13/07375-0)

BUENO, LUIS FELIPE; HAESER, GABRIEL; ROJAS, FRANK NAVARRO. OPTIMALITY CONDITIONS AND CONSTRAINT QUALIFICATIONS FOR GENERALIZED NASH EQUILIBRIUM PROBLEMS AND THEIR PRACTICAL IMPLICATIONS. SIAM JOURNAL ON OPTIMIZATION, v. 29, n. 1, p. 31-54, 2019. (15/02528-8, 17/18308-2, 13/05475-7)

MARTINEZ, LEANDRO; SHIMIZU, SEISHI. Molecular Interpretation of Preferential Interactions in Protein Solvation: A Solvent-Shell Perspective by Means of Minimum-Distance Distribution Functions. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, v. 13, n. 12, p. 6358-6372, DEC 2017. (13/08293-7, 13/05475-7, 10/16947-9)

GONCALVES, DOUGLAS S.; SANTOS, SANDRA A.. A globally convergent method for nonlinear least-squares problems based on the Gauss-Newton model with spectral correction. BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, v. 4, n. 2, p. 7-26, JUL-DEC 2016. (13/07375-0, 13/05475-7)

BIRGIN, ERNESTO G.; LOBATO, RAFAEL D.; MARTINEZ, JOSE MARIO. Constrained optimization with integer and continuous variables using inexact restoration and projected gradients. BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, v. 4, n. 2, p. 55-70, JUL-DEC 2016. (13/05475-7, 15/18053-9, 13/07375-0, 13/03447-6, 14/18711-3, 10/10133-0)

BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. ON THE EMPLOYMENT OF INEXACT RESTORATION FOR THE MINIMIZATION OF FUNCTIONS WHOSE EVALUATION IS SUBJECT TO ERRORS. Mathematics of Computation, v. 87, n. 311, p. 1307-1326, MAY 2018. (13/07375-0, 14/18711-3, 13/05475-7, 10/10133-0, 13/03447-6)

LOPES, R.; SANTOS, S. A.; SILVA, P. J. S.. Accelerating block coordinate descent methods with identification strategies. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 72, n. 3, p. 609-640, APR 2019. (14/14228-6, 13/05475-7, 13/07375-0)

BIRGIN, E. G.; LOBATO, R. D.. A matheuristic approach with nonlinear subproblems for large-scale packing of ellipsoids. European Journal of Operational Research, v. 272, n. 2, p. 447-464, JAN 16 2019. (13/07375-0, 17/05198-4, 16/01860-1, 13/05475-7, 15/18053-9, 13/03447-6, 12/23916-8)

ANDREANI, ROBERTO; HAESER, GABRIEL; VIANA, DAIANA S.. Optimality conditions and global convergence for nonlinear semidefinite programming. MATHEMATICAL PROGRAMMING, v. 180, n. 1-2, p. 203-235, MAR 2020. (17/18308-2, 13/05475-7)

BEGIATO, RODOLFO G.; CUSTODIO, ANA L.; GOMES-RUGGIERO, MARCIA A.. A global hybrid derivative-free method for high-dimensional systems of nonlinear equations. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 75, n. 1, p. 93-112, JAN 2020. (13/05475-7, 13/07375-0)

ARIAS, C. A.; MARTINEZ, J. M.. Fast convergence of an inexact interior point method for horizontal complementarity problems. NUMERICAL ALGORITHMS, v. 79, n. 4, p. 1187-1210, DEC 2018. (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0, 14/18711-3)

HELOU, ELIAS S.; SANTOS, SANDRA A.; SIMOES, LUCAS E. A.. A fast gradient and function sampling method for finite-max functions. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 71, n. 3, p. 673-717, DEC 2018. (13/05475-7, 13/07375-0, 16/22989-2, 13/16508-3, 13/14615-7)

HAESER, GABRIEL; HINDER, OLIVER; YE, YINYU. On the behavior of Lagrange multipliers in convex and nonconvex infeasible interior point methods. MATHEMATICAL PROGRAMMING, v. 186, n. 1-2, p. 257-288, MAR 2021. (16/02092-8, 13/05475-7)

BIRGIN, E. G.; MARTINEZ, J. M.. ON REGULARIZATION AND ACTIVE-SET METHODS WITH COMPLEXITY FOR CONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 28, n. 2, p. 1367-1395, 2018. (14/18711-3, 13/07375-0, 13/03447-6, 13/05475-7)

ANDREANI, ROBERTO; MARTINEZ, JOSE MARIO; RAMOS, ALBERTO; SILVA, PAULO J. S.. Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization. MATHEMATICS OF OPERATIONS RESEARCH, v. 43, n. 3, p. 693-717, AUG 2018. (13/07375-0, 13/05475-7, 12/20339-0)

CENSONI, LUCIANO; MUNIZ, HELOISA DOS SANTOS; MARTINEZ, LEANDRO. A network model predicts the intensity of residue-protein thermal coupling. Bioinformatics, v. 33, n. 14, p. 2106-2113, JUL 15 2017. (13/05475-7, 10/16947-9, 13/08293-7)

LESCANO, CAROLINE HONAISER; DE OLIVEIRA, IVAN PIRES; ZAMINELLI, TIAGO; BALDIVIA, DEBORA DA SILVA; DA SILVA, LUAN RAMOS; NAPOLITANO, MAURO; MENDES SILVERIO, CAMILA BITENCOURT; LINCOPAN, NILTON; SANJINEZ-ARGANDONA, ELIANA JANET. Campomanesia adamantium Peel Extract in Antidiarrheal Activity: The Ability of Inhibition of Heat-Stable Enterotoxin by Polyphenols. PLoS One, v. 11, n. 10, OCT 20 2016. (13/08293-7, 13/05475-7, 10/16947-9)

CENSONI, LUCIANO; MARTINEZ, LEANDRO. Prediction of kinetics of protein folding with non-redundant contact information. Bioinformatics, v. 34, n. 23, p. 4034-4038, DEC 1 2018. (13/08293-7, 13/05475-7, 10/16947-9)

BIRGIN, E. G.; LOBATO, R. D.; MARTINEZ, J. M.. A nonlinear programming model with implicit variables for packing ellipsoids. Journal of Global Optimization, v. 68, n. 3, p. 467-499, JUL 2017. (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6, 12/23916-8)

BIRGIN, E. G.; FERREIRA, J. E.; RONCONI, D. P.. List scheduling and beam search methods for the flexible job shop scheduling problem with sequencing flexibility. European Journal of Operational Research, v. 247, n. 2, p. 421-440, DEC 1 2015. (13/07375-0, 10/10133-0, 13/03447-6, 13/05475-7)

MARTINEZ, J. M.; RAYDAN, M.. Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization. Journal of Global Optimization, v. 63, n. 2, p. 319-342, OCT 2015. (13/07375-0, 13/05475-7)

MARTINEZ, J. M.; RAYDAN, M.. Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization. Journal of Global Optimization, v. 68, n. 2, p. 367-385, JUN 2017. (13/07375-0, 13/05475-7)

HAESER, G.. Some theoretical limitations of second-order algorithms for smooth constrained optimization. OPERATIONS RESEARCH LETTERS, v. 46, n. 3, p. 295-299, MAY 2018. (16/02092-8, 13/05475-7)

HAESER, GABRIEL. An Extension of Yuan's Lemma and Its Applications in Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 174, n. 3, p. 641-649, SEP 2017. (16/02092-8, 13/05475-7)

CERVELIN, B. H.; CONTI, D.; DINIZ-EHRHARDT, M. A.; MARTINEZ, J. M.. A computer model for particle-like simulation in broiler houses. COMPUTERS AND ELECTRONICS IN AGRICULTURE, v. 141, p. 1-14, SEP 2017. (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6)

BUENO, L. F.; HAESER, G.; MARTINEZ, J. M.. An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization. Optimization Letters, v. 10, n. 6, p. 1315-1325, AUG 2016. (14/01446-5, 13/05475-7, 15/02528-8, 10/19720-5)

GONCALVES, DOUGLAS S.; SANTOS, SANDRA A.. Local analysis of a spectral correction for the Gauss-Newton model applied to quadratic residual problems. NUMERICAL ALGORITHMS, v. 73, n. 2, p. 407-431, OCT 2016. (13/07375-0, 13/05475-7)

HELOU, ELIAS SALOMAO; SANTOS, SANDRA A.; SIMOES, LUCAS E. A.. On the differentiability check in gradient sampling methods. OPTIMIZATION METHODS & SOFTWARE, v. 31, n. 5, p. 983-1007, OCT 2016. (13/16508-3, 13/05475-7, 13/14615-7, 13/07375-0)

ANDREANI, ROBERTO; BEHLING, ROGER; HAESER, GABRIEL; SILVA, PAULO J. S.. On second-order optimality conditions in nonlinear optimization. OPTIMIZATION METHODS & SOFTWARE, v. 32, n. 1, p. 22-38, FEB 2017. (13/07375-0, 13/05475-7, 12/20339-0, 10/19720-5)

ANDREANI, R.; MARTINEZ, J. M.; SANTOS, L. T.. Newton's method may fail to recognize proximity to optimal points in constrained optimization. MATHEMATICAL PROGRAMMING, v. 160, n. 1-2, p. 547-555, NOV 2016. (10/10133-0, 13/07375-0, 13/05475-7)

OLIVEIRA, IVAN P.; MARTINEZ, LEANDRO. Molecular basis for competitive solvation of the Burkholderia cepacia lipase by sorbitol and urea. Physical Chemistry Chemical Physics, v. 18, n. 31, p. 21797-21808, AUG 31 2016. (10/16947-9, 13/08293-7, 13/05475-7)

BIRGIN, E. G.; BUENO, L. F.; MARTINEZ, J. M.. Assessing the reliability of general-purpose Inexact Restoration methods. Journal of Computational and Applied Mathematics, v. 282, p. 1-16, JUL 2015. (13/07375-0, 10/10133-0, 13/03447-6, 13/05475-7)

DE OLIVEIRA, IVAN PIRES; JARA, GABRIEL ERNESTO; MARTINEZ, LEANDRO. Molecular mechanism of activation of Burkholderia cepacia lipase at aqueous-organic interfaces. Physical Chemistry Chemical Physics, v. 19, n. 46, p. 31499-31507, DEC 14 2017. (13/08293-7, 13/05475-7, 13/22360-9, 10/16947-9)

HELOU, ELIAS SALOMAO; SANTOS, SANDRA A.; SIMOES, LUCAS E. A.. On the Local Convergence Analysis of the Gradient Sampling Method for Finite Max-Functions. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 175, n. 1, p. 137-157, OCT 2017. (13/07375-0, 13/05475-7, 16/22989-2, 13/14615-7)

SAKURABA, CELSO S.; RONCONI, DEBORA P.; BIRGIN, ERNESTO G.; YAGIURA, MUTSUNORI. Metaheuristics for large-scale instances of the linear ordering problem. EXPERT SYSTEMS WITH APPLICATIONS, v. 42, n. 9, p. 4432-4442, JUN 1 2015. (13/07375-0, 10/08434-1, 13/05475-7, 10/10133-0, 13/03447-6)

MINO-GALAZ, GERMAN A.. Allosteric Communication Pathways and Thermal Rectification in PDZ-2 Protein: A Computational Study. Journal of Physical Chemistry B, v. 119, n. 20, p. 6179-6189, MAY 21 2015. (13/05475-7, 10/16947-9)

SENNE, THADEU A.; GOMES, FRANCISCO A. M.; SANTOS, SANDRA A.. On the approximate reanalysis technique in topology optimization. OPTIMIZATION AND ENGINEERING, v. 20, n. 1, p. 251-275, MAR 2019. (13/07375-0, 13/05475-7)

ANDREANI, R.; OVIEDO, H.; RAYDAN, M.; SECCHIN, L. D.. An extended delayed weighted gradient algorithm for solving strongly convex optimization problems. Journal of Computational and Applied Mathematics, v. 416, p. 19-pg., 2022-07-02. (13/07375-0, 17/18308-2, 13/05475-7)

RIBEIRO, ADEMIR A.; SACHINE, MAEL; SANTOS, SANDRA A.. On the approximate solutions of augmented subproblems within sequential methods for nonlinear programming. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 5, p. 18-pg., 2018-11-01. (13/07375-0, 13/05475-7)

BUENO, L. F.; HAESER, G.; LARA, F.; ROJAS, F. N.. An Augmented Lagrangian method for quasi-equilibrium problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 76, n. 3, p. 30-pg., 2020-02-21. (17/18308-2, 18/24293-0, 13/05475-7)

BIRGIN, ERNESTO G.; GOMEZ, WALTER; HAESER, GABRIEL; MITO, LEONARDO M.; SANTOS, DAIANA O.. An Augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problem. COMPUTATIONAL & APPLIED MATHEMATICS, v. 39, n. 1, p. 21-pg., 2020-03-01. (18/24293-0, 13/05475-7, 17/18308-2, 17/17840-2, 16/16999-5)

MOHAMMAD, HASSAN; SANTOS, SANDRA A.. A structured diagonal Hessian approximation method with evaluation complexity analysis for nonlinear least squares. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 5, p. 35-pg., 2018-11-01. (13/07375-0, 13/05475-7)