| Kuhn-Tucker条件与线性规划的对偶性 |
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| 引用本文： | 全生寅. Kuhn-Tucker条件与线性规划的对偶性[J]. 数学的实践与认识, 2006, 36(1): 253-256 |
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| 作者姓名： | 全生寅 |
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| 作者单位： | 青海大学基础部,西宁,810016 |
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| 摘 要： | 证明了线性规划的K uhn-Tucker条件蕴含着它的对偶问题,解释了L agrange乘子的意义.进而显示了K-T条件中的互补松驰性与对偶线性规划的互补松紧定理之间的联系.
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| 关 键 词： | 数学规划 Kuhn-Tucker条件 Lagrange乘子 线性规划 对偶问题 |
| 修稿时间： | 2004-11-26 |
Kuhn-Tucker Condition and Duality of Liner Programming |
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| QUAN Sheng-yin. Kuhn-Tucker Condition and Duality of Liner Programming[J]. Mathematics in Practice and Theory, 2006, 36(1): 253-256 |
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| Authors: | QUAN Sheng-yin |
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| Abstract: | This Paper prove that Kuhn-Tucker Condition of linear programming imply its dual problem,and explain the significance of Lagrange multiplier.Futhemore,the relation between complementary slackness in Kuhn-Tucker Condition and complementary slack theorem on dual linear programming has been showed. |
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| Keywords: | mathematical programming Kuhn-Tucker condition lagrange multiplier linear programming dual problem |
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