Funções de Bregman e Métodos das direções alternadas para multiplicadores
In this work we deal with optimal methods for optimizing a differentiable convex function with and without constrains. We presented the methods given by the authors: Nesterov (1983) in [20], Auslender e Teboulle (2006) in [2], Nesterov (2013) in [24], Tseng (2008) in [30] and Rossetto (2012)in [29],...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Brasil |
| Institución: | Universidade Federal de Uberlândia (UFU) |
| Repositorio: | Repositório Institucional da UFU |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufu.br:123456789/16820 |
| Acceso en línea: | https://repositorio.ufu.br/handle/123456789/16820 https://doi.org/10.14393/ufu.di.2015.296 |
| Access Level: | acceso abierto |
| Palabra clave: | Bregman Gradiente lipshitz contínuo, Nesterov, Métodos ótimos Otimização matemática Gradient lipschitz continuous Nesterov Optimal methods CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this work we deal with optimal methods for optimizing a differentiable convex function with and without constrains. We presented the methods given by the authors: Nesterov (1983) in [20], Auslender e Teboulle (2006) in [2], Nesterov (2013) in [24], Tseng (2008) in [30] and Rossetto (2012)in [29], also, we demonstrated rigorously results of the paper \"An accelerated linearized alternating direction method of multipliers\"given by Ouyang, Chen, Lan and Pasiliao (2015) in [26]. |
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