Formação de professores: um exemplo de uso da otimização na preparação de novos professores
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Data
2010-12-31
Autores
Título da Revista
ISSN da Revista
Título de Volume
Editor
Maria de Fátima Cruvinel
Resumo
In order to reaffirm the importance of an in-depth study of pure mathematics in the formation of new mathematics teachers, we have proposed to focus on a specific area, optimization, in order to provide training for new mathematics teachers at UFG. In this paper we
study the convergence of primal and dual central paths associated to entropy and exponential
functions, respectively, and we investigated the asymptotic behavior of these paths in linear
programming. We also studied the convergence of primal and dual central paths associated
to the Kullback-Leibler divergence and its conjugate. As an application of the study of central and dual paths, we have shown the convergence of the primal weighted dual proximal sequences to Kullback-Leibler distance for Problems of Linear Programming (PPL), in what
is called the Proximal Point Method. Using more accessible and palatable language, we have
undergraduate mathematics students in mind when describing one of the dimensions of the
study of optimization for the formation of new mathematics teachers.
Descrição
v. 21, n. 2, jul./dez. 2010.
Palavras-chave
Problemas de programação linear, Função entropia, Divergência de Kullback-Leibler, Método de ponto proximal, Trajetória central
Citação
LOPES, Marcos Vinícius. Formação de professores: um exemplo de uso da otimização na preparação de novos professores. Polyphonía, v. 21, n. 2, jul./dez. 2010. Disponível em: <http://www.revistas.ufg.br/index.php/sv/article/view/18977/11123>.