Estudo do teorema de Lagrange e aplicações em problemas de otimização
In the study of optimization problems with equality constraints, the Lagrange multipliers method allows the maximum or minimum of a function, to be determined while respecting equality constraints. For this, we present the concepts of analysis, such as metrics, norms, open sets, closed and compact s...
| Autor principal: | Souza, Maycon Henrique de |
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| Formato: | Trabalho de Conclusão de Curso (Graduação) |
| Idioma: | Português |
| Publicado em: |
Universidade Tecnológica Federal do Paraná
2020
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.utfpr.edu.br/jspui/handle/1/7398 |
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| Resumo: |
In the study of optimization problems with equality constraints, the Lagrange multipliers method allows the maximum or minimum of a function, to be determined while respecting equality constraints. For this, we present the concepts of analysis, such as metrics, norms, open sets, closed and compact sets, continuous functions, limits and derivatives, as well as the main results about these concepts and their interactions, until you reach the Lagrange multiplier method. Finally, applications of the Lagrange multipliers are presented in the optimization of functions. |
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