Huang Liren. / Thesis (Ph.D.)--Chinese University of Hong Kong, 1993. / Includes bibliographical references (leaves 96). / Abstract --- p.1 / Introduction --- p.2 / References --- p.5 / Chapter Chapter 1. --- Some elementary results in nonsmooth analysis and optimization --- p.6 / Chapter 1. --- "Some properties for ""lim sup"" and ""lim inf""" --- p.6 / Chapter 2. --- The directional derivative of the sup-type function --- p.8 / Chapter 3. --- Some results in nonsmooth analysis and optimization --- p.12 / References --- p.19 / Chapter Chapter 2. --- On generalized second-order derivatives and Taylor expansions in nonsmooth optimization --- p.20 / Chapter 1. --- Introduction --- p.20 / Chapter 2. --- "Dini-directional derivatives, Clark's directional derivatives and generalized second-order directional derivatives" --- p.20 / Chapter 3. --- On Cominetti and Correa's conjecture --- p.28 / Chapter 4. --- Generalized second-order Taylor expansion --- p.36 / Chapter 5. --- Detailed proof of Theorem 2.4.2 --- p.40 / Chapter 6. --- Corollaries of Theorem 2.4.2 and Theorem 2.4.3 --- p.43 / Chapter 7. --- Some applications in optimization --- p.46 / Ref erences --- p.51 / Chapter Chapter 3. --- Second-order necessary and sufficient conditions in nonsmooth optimization --- p.53 / Chapter 1. --- Introduction --- p.53 / Chapter 2. --- Second-order necessary and sufficient conditions without constraint --- p.56 / Chapter 3. --- Second-order necessary conditions with constrains --- p.66 / Chapter 4. --- Sufficient conditions theorem with constraints --- p.77 / References --- p.87 / Appendix --- p.89 / References --- p.96
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_319106 |
| Date | January 1993 |
| Contributors | Huang, Liren., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 96 leaves ; 30 cm. |
| Rights | Use 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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