非正则问题最优性的充要条件

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-08-04 DOI:10.1080/01630563.2023.2235614

V. Vivanco-Orellana, R. Osuna-Gómez, M. Rojas-Medar

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引用次数: 0

摘要

摘要我们通过Dubovitskii-Milyutin形式推导了具有多重等式和不等式约束的优化问题的新的充要最优性条件，刻画了非正则点邻域中的可行方向锥和切线方向锥。我们还建立了2-正则性的条件，在该条件下，必要的最优性条件是非退化的。当发生不规则（或异常）现象时，这些条件适用。此外，还举例说明了我们的结果。

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Necessary and Sufficient Optimality Conditions for Non-regular Problems

Abstract We derive new necessary and sufficient optimality conditions for optimization problems with multi-equality and inequality constraints through the Dubovitskii-Milyutin formalism, characterizing the feasible and tangent directions cones in a neighborhood of a non-regular point. We also establish conditions of 2-regularity under which necessary optimality conditions are non-degenerate. These conditions apply when the phenomenon of non-regularity (or abnormality) take place. In addition examples that illustrate our results are presented.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.