| 组合同伦方法在非凸优化问题上的应用 |
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| 引用本文： | 高云峰.组合同伦方法在非凸优化问题上的应用[J].吉林农业科技学院学报,2011(2):116-117. |
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| 作者姓名： | 高云峰 |
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| 作者单位： | 吉林农业科技学院文理学院; |
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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,说明了同伦方法的可行性。
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| 关 键 词： | 非凸优化 组合同伦方法 拟法锥条件 |
The Application of Homotopy Methods on Nonconvex Optimization Problem |
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| GAO Yunfeng.The Application of Homotopy Methods on Nonconvex Optimization Problem[J].Journal Of Jilin Agricultural Science And Technology College,2011(2):116-117. |
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| Authors: | GAO Yunfeng |
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| Institution: | GAO Yunfeng(Jilin Agricultural Science and Technology University School of Arts and Sciences,Jilin 132101) |
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| Abstract: | Drawing lessons from the ready theories results,deals with the achievement of optimization problem about combined homotopy interior point method 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 chosed mapping on constrains feasible set satisfy the quasi-normal cone condition,and construct combined homotopy equation under the quasi-no... |
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| Keywords: | nonconvex optimization combined homotopy interior point method(CHIP) the quasi-normal cone condition |
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