论共正优化中的均匀对偶性

IF 1.6 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Optimization Theory and Applications Pub Date : 2024-08-29 DOI:10.1007/s10957-024-02515-1

O. I. Kostyukova, T. V. Tchemisova, O. S. Dudina

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引用次数: 0

摘要

在本文中，我们建立了新的必要条件和充分条件，以保证哥白尼程序设计线性问题的统一 LP 对偶性，并以不同的等价形式阐述了这些条件。主要结果是利用作者之前论文中开发的方法获得的，该方法基于不动指数的概念，允许对可行解集进行替代表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Uniform Duality in Copositive Optimization

In this paper, we establish new necessary and sufficient conditions guaranteeing the uniform LP duality for linear problems of Copositive Programming and formulate these conditions in different equivalent forms. The main results are obtained using the approach developed in previous papers of the authors and based on a concept of immobile indices that permits alternative representations of the set of feasible solutions.

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来源期刊

Journal of Optimization Theory and Applications 数学-应用数学

CiteScore

3.30

自引率

5.30%

发文量

149

审稿时长

9.9 months

期刊介绍： The Journal of Optimization Theory and Applications is devoted to the publication of carefully selected regular papers, invited papers, survey papers, technical notes, book notices, and forums that cover mathematical optimization techniques and their applications to science and engineering. Typical theoretical areas include linear, nonlinear, mathematical, and dynamic programming. Among the areas of application covered are mathematical economics, mathematical physics and biology, and aerospace, chemical, civil, electrical, and mechanical engineering.