CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Argentina
graduate at Licenciatura Em Matemáticas from Universidad de Buenos Aires (1993) and ph.d. at Mathematics from Universidade Estadual de Campinas (1996). Has experience in Mathematics, focusing on Applied Mathematics, acting on the following subjects: complementaridade, complementarity, box constrained, minimization whit equilibrium constraint and variational inequalities. (Source: Lattes Curriculum)
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This project deals with theoretical, computational and application aspects of Optimization. The project aims at the development, theoretical analysis, implementation and application of algorithms for different aspects of Optimization, with emphasis on Continuous Optimization. The project relies on applications with which the team is familiar. Emphasis is placed on algorithms with a solid …
The focus of this proposal is the transfer of mathematical knowledge to other areas of science, technology and industry, through a structured research center specially tailored for this purpose. All mathematical knowledge is ultimately applicable, if not directly, through other areas of knowledge. In some areas the application of mathematics is almost immediate. However, the practical imp…
Our group has been active in the Brazilian scientific environment for 40 years, being is sensitive to new trends and modern applications of Optimization. Over the years, this group, funded by successive FAPESP thematic projects, has made significant contributions in areas involving decomposition methods, quasi-Newton methods, sequential quadratic programming, augmented Lagrangian methods,…
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 …
(Only some records are available in English at this moment)
This project aims to study methods for solving Nash Equilibrium Problems (NEPs) that aggregate descent information throughout the iterative process. In a recent paper by the group, the authors identified that Newton's method for the first-order conditions of an unconstrained NEP can be interpreted as a strategy for the best response of players to a decision predicted for the other player.…
The spectral gradient method (or BBR -- Barzilai-Borwein-Raydan) developed by Raydan, and based on Barzilai and Borwein's seminal proposal for quadratic minimization, proved to be an effective tool for solving large-scale unconstrained problems. Since then, several similar methods have appeared in the literature, a topic that remains very active among researchers. Other important methods …
Augmented Lagrangian methods are effective tools for solving general constrained optimization problems. One of its drawbacks, however, is the excessive increase in the penalty parameter, which can generate numerical instabilities, especially in non-convex problems. One of the strategies that aim to reduce this problem employs exact penalty functions. However, the usual exact penalty funct…
We will study a family of methods with the same theoretical and practical properties for quadratics as the conjugate gradient method. This family is a convex combination of the objective function and the squared norm of the function gradient. We will also analyze the possible practical advantages when extended to strictly convex functions.(AU)
(Only some records are available in English at this moment)
This research internship project abroad, to be conducted at the NOVA University of Lisbon under the supervision of Prof. Marcos Raydan, aims to enhance the study of the Distance Geometry problem with uncertainties. By utilizing an approach that integrates continuous and discrete optimization techniques, the main objective is to develop more efficient and robust methods to solve complex pr…
This work consists in developing methods to solve three well-known problems in Optimization: nonlinear programming, second-order cone programming and semidefinite programming. For each one of these problems, we consider its necessary optimality conditions and reformulate it as a system of semismooth equations. The reformulation is based on a Fischer-Burmeister-type function or a different…
| 2 / 2 | Ongoing grants |
| 8 / 4 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 17 / 7 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 1 / 1 | Completed scholarships abroad |
| 30 / 16 | All research grants and scholarships |
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