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Topics in optimization.

Song, Haifeng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 67-69). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminary --- p.8 / Chapter 2.1 --- Introduction --- p.8 / Chapter 2.2 --- Notations and fundamental properties --- p.8 / Chapter 2.3 --- Properties of polyhedra --- p.14 / Chapter 3 --- Results on Efficient Point Sets --- p.23 / Chapter 3.1 --- Introduction --- p.23 / Chapter 3.2 --- Geometric results on efficient point sets --- p.24 / Chapter 3.3 --- Density of positive proper efficient point sets --- p.33 / Chapter 4 --- Pareto Solutions of Polyhedral-valued Vector Optimization --- p.42 / Chapter 4.1 --- Introduction --- p.42 / Chapter 4.2 --- The structure of weak Pareto solution sets --- p.43 / Chapter 4.2.1 --- The general ordering cone case --- p.46 / Chapter 4.2.2 --- The polyhedral ordering cone case --- p.54 / Chapter 4.3 --- Connectedness of solution sets and optimal value sets --- p.55 / Chapter 4.4 --- Optimality conditions of piecewise linear mappings --- p.60 / Bibliography --- p.67

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326707
Date January 2009
ContributorsSong, Haifeng., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 69 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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