I got a PhD in Applied Mathematics at the Institute of Mathematics and Statistics of the University of São Paulo. I am interested in all aspects of nonlinear (conic) optimization. My work is available at my webpage: https://www.ime.usp.br/~leokoto/ (Source: Lattes Curriculum)
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In this project we will approach algorithms to the general smooth nonlinear optimization problem. Given that an algorithm has stopped due to satisfying its optimality criterium with some precision, we intend to estimate the distance between the output solution and an actual stationary point of the problem, imposing some weak hypothesis over it. This leads to an accurate quality measure of…
This research project is focused on a classic problem from engineering. Basically, it consists of finding the optimal positioning and radius of a set of equal spheres in order to cover a given object. The common approach to this carries some substantial disadvantages, what makes it necessary to find a different way. Here, we propose to explore some renowned results from convex algebraic g…
In this BEPE proposal, we intend to study second-order necessary conditions (SONCs) for nonlinear semidefinite and second-order cone programming and the second-order constraint qualifications associated to them. We hope to stablish new sequential optimality conditions and use them to improve some existing results on SONCs for both the mentioned problems, inspired by recent advances in non…
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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