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Computational methods in optimization

Grant number: 13/05475-7
Support Opportunities:Research Projects - Thematic Grants
Duration: October 01, 2013 - 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 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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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)
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, . (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, . (13/05475-7, 18/24293-0, 17/18308-2)
HAESER, G.; RAMOS, A.. New Constraint Qualifications with Second-Order Properties in Nonlinear Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, . (13/05475-7, 18/24293-0, 17/18308-2)
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, . (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, . (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, . (16/02092-8, 13/05475-7)
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, . (13/07375-0, 13/05475-7)
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., . (13/07375-0, 13/05475-7)
OVIEDO, HARRY; ANDREANI, ROBERTO; RAYDAN, MARCOS. A family of optimal weighted conjugate-gradient-type methods for strictly convex quadratic minimization. NUMERICAL ALGORITHMS, . (13/05475-7, 17/18308-2)
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, . (13/07375-0, 17/18308-2, 18/24293-0, 17/17840-2, 13/05475-7)
ANDREANI, ROBERTO; RAYDAN, MARCOS. Properties of the delayed weighted gradient method. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 78, n. 1, p. 167-180, . (17/18308-2, 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, . (16/16999-5, 13/05475-7, 17/17840-2, 18/24293-0, 17/18308-2)
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, . (13/12964-4, 13/05475-7, 13/07375-0)
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., . (17/18308-2, 13/05475-7)
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., . (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., . (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., . (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., . (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6)
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., . (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., . (13/08293-7, 13/05475-7, 10/16947-9)
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., . (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., . (13/07375-0, 13/05475-7)
MARTINEZ, LEANDRO. MEASURING THE CONDUCTIVITY OF VERY DILUTE ELECTROLYTE SOLUTIONS, DROP BY DROP. Química Nova, v. 41, n. 7, p. 814-817, . (13/05475-7, 10/16947-9, 13/08293-7)
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, . (13/08293-7, 13/05475-7, 13/22360-9, 10/16947-9)
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, . (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, . (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, . (13/07375-0, 13/05475-7)
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, . (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, . (13/03447-6, 10/10133-0, 13/23494-9, 13/05475-7, 13/07375-0)
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, . (13/07375-0, 10/10133-0, 13/03447-6, 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. 1255-1272, . (13/07375-0, 13/05475-7)
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, . (13/07375-0, 13/05475-7, 12/20339-0)
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, . (13/08293-7, 13/05475-7, 10/16947-9)
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, . (13/07375-0, 16/02092-8, 16/01860-1, 13/05475-7, 13/03447-6)
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, . (13/07375-0, 13/05475-7, 12/20339-0, 10/19720-5)
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, . (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, . (13/05475-7, 10/16947-9)
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, . (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, . (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, . (13/07375-0, 10/10133-0, 13/05475-7)
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, . (13/07375-0, 13/05475-7, 14/18711-3, 13/03447-6)
MARTINEZ, JOSE MARIO. ON HIGH-ORDER MODEL REGULARIZATION FOR CONSTRAINED OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION, v. 27, n. 4, p. 2447-2458, . (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, . (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0)
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, . (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, . (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, . (13/08293-7, 13/05475-7, 18/14274-9, 16/13195-2, 10/16947-9)
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, . (13/08293-7, 13/05475-7, 10/16947-9)
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, . (16/02092-8, 13/05475-7)
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, . (13/07375-0, 13/23494-9, 13/05475-7, 10/10133-0, 13/03447-6)
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, . (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, . (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, . (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6, 12/23916-8)
ROBERTO ANDREANI; PAULO J.S. SILVA. CONSTANT RANK CONSTRAINT QUALIFICATIONS: A GEOMETRIC INTRODUCTION. Pesquisa Operacional, v. 34, n. 3, p. 481-494, . (13/05475-7, 13/07375-0, 12/20339-0)
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, . (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, . (13/07375-0, 13/05475-7)
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, . (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, . (13/05475-7, 13/07375-0)
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., . (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, p. 30-pg., . (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., . (18/24293-0, 13/05475-7, 17/18308-2, 17/17840-2, 16/16999-5)
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., . (13/07375-0, 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. 35-pg., . (13/07375-0, 13/05475-7)
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, . (15/02528-8, 17/18308-2, 13/05475-7)
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, . (14/14228-6, 13/05475-7, 13/07375-0)
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, . (13/07375-0, 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, . (13/07375-0, 13/05475-7, 16/01860-1, 18/24293-0)
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, . (13/05475-7, 13/07375-0)
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, . (16/02092-8, 13/05475-7)
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, . (13/07375-0, 17/05198-4, 16/01860-1, 13/05475-7, 15/18053-9, 13/03447-6, 12/23916-8)
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, . (13/08293-7, 13/05475-7, 13/22360-9, 10/16947-9)
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, . (13/03447-6, 10/10133-0, 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, . (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0, 14/18711-3)
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, . (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, . (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, . (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, . (13/07375-0, 14/18711-3, 13/05475-7, 10/10133-0, 13/03447-6)
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, . (13/03447-6, 10/10133-0, 13/05475-7, 13/07375-0, 14/18711-3)
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, . (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, . (13/07375-0, 13/05475-7, 12/20339-0)
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, . (13/05475-7, 13/07375-0, 16/22989-2, 13/16508-3, 13/14615-7)
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, . (13/05475-7, 13/07375-0)
CENSONI, LUCIANO; MARTINEZ, LEANDRO. Prediction of kinetics of protein folding with non-redundant contact information. Bioinformatics, v. 34, n. 23, p. 4034-4038, . (13/08293-7, 13/05475-7, 10/16947-9)
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, . (13/25977-7, 13/05475-7, 13/07375-0, 11/01096-6)
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, . (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, . (10/16947-9, 13/08293-7, 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, . (16/02092-8, 13/05475-7)
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, . (14/01446-5, 13/05475-7, 15/02528-8, 10/19720-5)
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, . (13/07375-0, 10/10133-0, 13/03447-6, 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, . (13/07375-0, 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, . (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, . (13/07375-0, 13/05475-7, 10/10133-0, 13/03447-6, 12/23916-8)
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, . (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, . (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, . (13/07375-0, 13/05475-7, 12/20339-0, 10/19720-5)
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, . (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, . (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, . (13/07375-0, 13/05475-7)
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, . (13/07375-0, 13/05475-7)
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, . (16/02092-8, 13/05475-7)
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, . (13/05475-7, 10/16947-9, 13/08293-7)
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, . (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, . (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, . (16/02092-8, 13/05475-7)
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, . (13/07375-0, 13/05475-7, 16/22989-2, 13/14615-7)
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, . (13/07375-0, 10/10133-0, 13/03447-6, 13/05475-7)
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, . (13/07375-0, 10/08434-1, 13/05475-7, 10/10133-0, 13/03447-6)
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, . (13/08293-7, 13/05475-7, 10/16947-9)
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, . (13/07375-0, 10/10133-0, 13/05475-7)

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