J4
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王英英
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WANG Ying-ying
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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.
关键词: 非线性规划, 复合形法, 减维控制
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 dimen sion 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 wh ich it is possible to avoid the reducing dimension phenomenon during constructing a suitable initiating compound.
Key words: nonlinear planning, compound method, reducing dimension control
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王英英. 复合形法的减维控制[J]. J4, 2005, 43(04): 443-446.
WANG Ying-ying. Control of Reducing Dimension in the Compound Method[J]. J4, 2005, 43(04): 443-446.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2005/V43/I04/443
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