CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Margarida Pinheiro Mello in research grants and scholarships supported by FAPESP.
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Higher order optimization methods, though of long-standing tradition, have been, until recently, deemed impractical. Advances in technology and in the theory of automatic differentiation already afford implementations of these methods that are competitive to second order methods. The object of this project is the study of Halley's method, its computer implementation and testing. (AU)
The approximate or analytical computation of large scale sparse Hessian and Jacobian matrices can be improved using graph coloring. Although the coloring problem is NP-hard, several heuristics have been proved successful in practice. We intend to investigate the impact, in the solution of specific classes of optimization problems, of incorporating these heuristics in optimization routines…
The approximation of sparse Jacobians and Hessians may take up an important share of computation effort in the numerical solution of optimization problems. Graph modeling and coloring techniques are employed to make the calculation more efficient. (AU)
| 1 / 1 | Completed research grants |
| 3 / 3 | Completed scholarships in Brazil |
| 4 / 4 | All research grants and scholarships |
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