锥上复空间的对称对偶性

Q3 Decision Sciences

Yugoslav Journal of Operations Research Pub Date : 2021-01-01 DOI:10.2298/YJOR2005015004A

I. Ahmad, D. Agarwal, Kumar Shiv

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引用次数: 0

摘要

对偶理论在优化理论中占有重要地位。它已被广泛应用于数学规划中的许多理论和计算问题。本文建立了复空间中一般多面体锥上的一、二阶Wolfe和Mond-Weir型对称对偶规划的对偶结果。给出了不可微情况下对应的对偶关系。这项工作还将从文献中删除早期工作中的不一致之处。

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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Symmetric duality in complex spaces over cones

Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.

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来源期刊

Yugoslav Journal of Operations Research Decision Sciences-Management Science and Operations Research

CiteScore

2.50

自引率

0.00%

发文量

审稿时长

24 weeks