2018年3月1日
Optimality conditions for nonlinear semidefinite programming via squared slack variables
Mathematical Programming
- ,
- ,
- 巻
- 168
- 号
- 1-2
- 開始ページ
- 177
- 終了ページ
- 200
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s10107-016-1040-4
- 出版者・発行元
- Springer Verlag
In this work, we derive second-order optimality conditions for nonlinear semidefinite programming (NSDP) problems, by reformulating it as an ordinary nonlinear programming problem using squared slack variables. We first consider the correspondence between Karush-Kuhn-Tucker points and regularity conditions for the general NSDP and its reformulation via slack variables. Then, we obtain a pair of “no-gap” second-order optimality conditions that are essentially equivalent to the ones already considered in the literature. We conclude with the analysis of some computational prospects of the squared slack variables approach for NSDP.
- リンク情報
- ID情報
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- DOI : 10.1007/s10107-016-1040-4
- ISSN : 1436-4646
- ISSN : 0025-5610
- J-Global ID : 201702216166410743
- SCOPUS ID : 84976320509