<電子ブック>
Topological Aspects of Nonsmooth Optimization / by Vladimir Shikhman
(Nonconvex Optimization and Its Applications ; 64)
版 | 1st ed. 2012. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2012 |
本文言語 | 英語 |
大きさ | XII, 196 p : online resource |
著者標目 | *Shikhman, Vladimir author SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Functional analysis FREE:Optimization FREE:Continuous Optimization FREE:Functional Analysis |
一般注記 | Preface. -Notation -- Introduction -- Mathematical Programming Problems with Complementarity -- Constraints -- General Semi-infinite Programming Problems -- Mathematical Programming Problems with Vanishing Constraints -- Bilevel Optimization -- Impacts on Nonsmooth Analysis -- Appendix -- Bibliography -- References -- Index This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness. Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate students in applied mathematics, especially those working in optimization theory, nonsmooth analysis, algebraic topology and singularity theory HTTP:URL=https://doi.org/10.1007/978-1-4614-1897-9 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781461418979 |
|
電子リソース |
|
EB00227624 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA402.5-402.6 DC23:519.6 |
書誌ID | 4000118998 |
ISBN | 9781461418979 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降