A General proof of the good definition of the Augmented Lagrangian method

Descripción del Articulo

This paper presents a proof of the unicity of the sequence of multipliers generated by the Aumented Lagrangean Method with Penalties P, e P. This unicity has been tested along the last 25 years by the use of the equivalence relationship existing between the Aunented Lagrangean and Proximal Point Met...

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Detalles Bibliográficos
Autor: Rezza Espinoza, Yna Consuelo
Formato: artículo
Fecha de Publicación:2003
Institución:Universidad Nacional de Ingeniería
Repositorio:Revistas - Universidad Nacional de Ingeniería
Lenguaje:español
OAI Identifier:oai:oai:revistas.uni.edu.pe:article/487
Enlace del recurso:https://revistas.uni.edu.pe/index.php/tecnia/article/view/487
Nivel de acceso:acceso abierto
Descripción
Sumario:This paper presents a proof of the unicity of the sequence of multipliers generated by the Aumented Lagrangean Method with Penalties P, e P. This unicity has been tested along the last 25 years by the use of the equivalence relationship existing between the Aunented Lagrangean and Proximal Point Methods Various researchers such asRockafellar [10], Iusem 6l and Gonzaga & Castillo [2] tested this equivalence and the consequent unicity of the multipliers sequence generated by the Aumented Lagrangean Method in particular cases. The proof we are presenting includes all these cases; it is outstanding for being direct and not to use the above equivalence relation.
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