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Ocaña Anaya, Eladio Teófilo
Oré Albornoz, Ernesto
Oré Albornoz, Ernesto
2024-02-28T21:52:22Z
2024-02-28T21:52:22Z
2024-02-28T21:52:22Z
2024-02-28T21:52:22Z
2018
http://hdl.handle.net/20.500.14076/26928
We focus in this thesis, on splitting methods which be applied to special optimization or inclusion problems considering its related inclusion problems with an appropriated Lagrangian map. In a general setting for solving a monotone inclusion problem and obtain splitting algorithms, we develop a generalized proximal point and construct a related map with similar contraction properties as the resolvent map. Our general setting includes popular splitting algorithms. Also, we show decomposition techniques in order to solve the multi-block version of our model problems, _nding adequate formulations of the original problem and then apply a particular algorithm version of our general scheme. Finally, we apply the splitting method to a large-scale energy production planning problem. (en)
Tesis (es)
application/pdf (es)
eng (es)
Universidad Nacional de Ingeniería (es)
info:eu-repo/semantics/openAccess (es)
http://creativecommons.org/licenses/by-nc-nd/4.0/ (es)
Universidad Nacional de Ingeniería (es)
Repositorio Institucional - UNI (es)
Método de descomposición proximal (es)
Optimización matemática (es)
Planificación energética (es)
Proximal decomposition method applied to energy planning problem with uncertainty (en)
info:eu-repo/semantics/doctoralThesis (es)
Universidad Nacional de Ingeniería. Facultad de Ciencias. Unidad de Posgrado (es)
Doctorado en Ciencias con Mención en Matemática (es)
Doctorado (es)
Doctor en Ciencias con Mención en Matemática (es)
PE (es)
http://purl.org/pe-repo/ocde/ford#1.01.02 (es)
http://purl.org/pe-repo/renati/nivel#doctor (es)
15864277
https://orcid.org/0000-0001-5960-7366 (es)
46462145
541018
Ochoa Jiménez, Rosendo
Dussault, Jean-Pierre
De Lara, Miche
Franco Gonzáles, Elmar Javier
http://purl.org/pe-repo/renati/type#tesis (es)
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