| 非凸优化问题的组合同伦方法 |
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| 引用本文： | 高云峰.非凸优化问题的组合同伦方法[J].吉林农业科技学院学报,2008(1):45-46. |
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| 作者姓名： | 高云峰 |
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| 作者单位： | 吉林农业科技学院基础科学部,吉林132101 |
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| 摘 要： | 借鉴已有的理论结果，研究具体一类非凸约束区域上优化问题的组合同伦方法的实现。针对这类非凸约束区域，给出了拟法锥的构造方法，证明了所选映射关于约束梯度是正独立的、可行域关于所选映射是满足拟法锥条件的，构造了拟法锥条件下的组合同伦方程，给出了数值例子。
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| 关 键 词： | 非凸优化 组合同伦方法 正独立 拟法锥条件 |
The Combined Homotopy Methods for Nonconvex Optimization Problem |
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| GAO Yunfeng.The Combined Homotopy Methods for Nonconvex Optimization Problem[J].Journal Of Jilin Agricultural Science And Technology College,2008(1):45-46. |
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| Authors: | GAO Yunfeng |
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| Institution: | GAO Yunfeng (Jilin Agricultural Science , Technology College Department of Basic Science,Jilin 132101,China) |
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| Abstract: | Drawing lessons from the ready theories results, this paper deals with the achievement of optimization problem about combined homotopy interior point method(CHIP) on concrete a type of nonconvex constrained domain.Contraposing to this nonconvex constrained domain,we give the structure method of the quasi-normal.Prove the chosen mappings on constrained grads are positive independent,the chosen mapping on constraints feasible set satisfy the quasi-normal cone condition,and construct combined homotopy equation... |
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| Keywords: | nonconvex optimization combined homotopy method positive independent the quasi-normal cone condition |
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