| 锥规划的最优性和对偶性研究 |
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| 引用本文： | 安中华,安琼. 锥规划的最优性和对偶性研究[J]. 福州大学学报(自然科学版), 2007, 35(4): 494-498 |
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| 作者姓名： | 安中华 安琼 |
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| 作者单位： | 1. 湖北第二师范学院数学与计量经济系,湖北,武汉,430205
2. 中国科学院南京土壤研究所,江苏,南京,210008 |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 利用对偶锥的概念,将对偶规划和基本可行解等概念引到锥规划中,讨论了这些概念和最优解的关系,给出了锥规划最优解的判别方法,研究了锥规划对偶规划的主要性质.从所得结论可见,利用对偶锥,线性规划和锥规划的对偶性、最优解判别方法等有相同的表述形式.
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| 关 键 词： | 锥规划 对偶锥 对偶规划 基本可行解 最优解 |
| 文章编号： | 1000-2243(2007)04-0494-05 |
| 修稿时间： | 2006-09-12 |
Study on optimality and duality of conic programming |
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| AN Zhong-hu,AN Qiong. Study on optimality and duality of conic programming[J]. Journal of Fuzhou University(Natural Science Edition), 2007, 35(4): 494-498 |
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| Authors: | AN Zhong-hu AN Qiong |
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| Affiliation: | 1.Department of Mathematics and Measure Economics,Hubei University of Education,Wuhan,Hubei 430205,China;2.Institute of Soil Science,Chinese Academy of Sciences,Nanjing,Jiangsu 210008,China) |
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| Abstract: | With a dual cone,the dual programming and the basic feasible solution are introduced to conic programming,the relations between them and the optimal solution are discussed,the conditions for the optimal solution are gotten,and the main dual properties are studied,about conic programming.And the expressions of the conclusions are like linear programming. |
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| Keywords: | conic programming dual cone dual programming basic feasible solution optimal solution |
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