| 一类优化问题的动约束组合同伦算法 |
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| 引用本文： | 王艳,王秀玉,刘庆怀.一类优化问题的动约束组合同伦算法[J].吉林大学学报(理学版),2012,50(5):892-896. |
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| 作者姓名： | 王艳 王秀玉 刘庆怀 |
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| 作者单位： | 长春工业大学 基础科学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:10771020);吉林省自然科学基金(批准号:201215128;20101597) |
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| 摘 要： | 对带有不等式约束的光滑优化问题, 当可行域非空且满足正独立条件时, 通过选取适当的新的动边界, 构造了新的同伦方程, 证明了同伦方程解的存在性、 有界性和收敛性, 获得了优化问题的K-K-T点.
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| 关 键 词： | 同伦方法 伪锥条件 动约束 |
| 收稿时间： | 2011-11-15 |
Shifting Constraints Combined Homotopy Methods for a Class of Optimization Problems |
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| WANG Yan,WANG Xiu-yu,LIU Qing-huai.Shifting Constraints Combined Homotopy Methods for a Class of Optimization Problems[J].Journal of Jilin University: Sci Ed,2012,50(5):892-896. |
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| Authors: | WANG Yan WANG Xiu-yu LIU Qing-huai |
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| Institution: | School of Basic Science, Changchun University of Technology, Changchun 130012, China |
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| Abstract: | For the programming problems with inequalities constraints,we constructed a new homotopy equation by selecting a suitable new moving function,and proved the existence,boundedness,convergence,obtained the K-K-T point of the programming problems,when the feasible region is nonempty and the boundary of the feasible set satisfies positively linearly independent conditions. |
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| Keywords: | homotopy method pseudo-normal cone conditions moving constraints |
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