| 一类部分反向凸约束优化问题的组合同伦方法 |
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| 引用本文： | 高云峰,刘庆怀.一类部分反向凸约束优化问题的组合同伦方法[J].吉林大学学报(理学版),2008,46(6):1110-1112. |
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| 作者姓名： | 高云峰 刘庆怀 |
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| 作者单位： | 1. 吉林农业科技学院 基础部, 吉林 吉林 132109; 2. 长春工业大学 应用数学研究所, 长春 130012 |
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| 摘 要： | 研究一类部分反向凸约束可行域上函数极小化问题的组合同伦内点方法, 针对这类部分反向凸约束区域, 给出了拟法锥的构造方法, 并证明了所选的映射关于约束梯度是正独立的及所构造的拟法锥满足拟法锥条件.
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| 关 键 词： | 非凸可行域 同伦内点法 拟法锥条件 部分反向凸约束 非凸优化问题 |
| 收稿时间： | 2007-12-15 |
The Combined Homotopy Methods for Optimization Problem with Partial Reverse Convex Constraints |
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| GAO Yun-feng,LIU Qing-huai.The Combined Homotopy Methods for Optimization Problem with Partial Reverse Convex Constraints[J].Journal of Jilin University: Sci Ed,2008,46(6):1110-1112. |
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| Authors: | GAO Yun-feng LIU Qing-huai |
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| Institution: | 1. Department of Foundation, Jilin Agricultural Science and Technology College, Jilin 132109, Jilin Province, China;2. Institute of Applied Mathematics, Changchun University of Technology, Changchun 130012, China |
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| Abstract: | This paper deals with the combined homotopy methods for optimization problems on the partial reverse convex constraints feasible set. Contraposing to this partial reverse convex constrained domain, we gave the structure method of the quasi normal, proved that the chosen mappings are positive independent with respect to constrained grades. And the constrained quasi normal
cone satisfies the quasi normal cone condition. |
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| Keywords: | nonconvex feasible fields combined homotopy interior point method (CHIP) quasinormal cone condition partial reverse convex constraint nonconvex optimization problem |
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