| 复合形法的减维控制 |
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| 引用本文： | 王英英.复合形法的减维控制[J].吉林大学学报(理学版),2005,43(4):443-446. |
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| 作者姓名： | 王英英 |
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| 作者单位： | 吉林建筑工程学院,基础科学系,长春,130021 |
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| 基金项目： | 国家自然科学基金(批准号:10076006). |
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| 摘 要： | 复合形法是求解约束非线性规划的一种直接方法, 它计算简单、 适用性强, 是解决 工程技术问题的常用方法. 但当初始复合形选择不当时, 会出现减维现象, 从而影响到最优 解的收敛. 针对上述问题, 给出了n维空间条件下的减维控制
定理与方法, 使其在构造初始复合形时能有效避免减维现象的发生.
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| 关 键 词： | 非线性规划 复合形法 减维控制 |
| 文章编号： | 1671-5489(2005)04-0443-04 |
| 收稿时间： | 2004-11-01 |
| 修稿时间： | 2004年11月1日 |
Control of Reducing Dimension in the Compound Method |
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| WANG Ying-ying.Control of Reducing Dimension in the Compound Method[J].Journal of Jilin University: Sci Ed,2005,43(4):443-446. |
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| Authors: | WANG Ying-ying |
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| Institution: | Department of Foundation Science, Jilin Institute of Civil Engineering, Changchun 130021, China |
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| Abstract: | The compound method is a direct way for solving constrained nonlinear planning problems. It is simple in calculation, wide in application, and common in engineering technology. But, a weakness of this method is the reducing dimension phenomenon when you choose the initiating compound inappropriately, which directly offects the convergence of the optimum solution. The reducing dimension control theorem in the space of n dimensions is given, by which it is possible to avoid the reducing dimension phenomenon during constructing a suitable initiating compound. |
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| Keywords: | nonlinear planning compound method reducing dimension control |
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