| 带参数的拓广投影变尺度算法 |
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| 引用本文： | 王薇 察可文. 带参数的拓广投影变尺度算法[J]. 山东轻工业学院学报, 1997, 11(3): 66-69 |
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| 作者姓名： | 王薇 察可文 |
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| 作者单位： | 山东轻工业学院基础课部 |
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| 摘 要： | 将文〔１〕中拓广的梯度投影法与无约束变尺度法结合，给出了含有ｎ＋ｍ＋１个参数且适用于求解带线性约束的非线性规划问题的算法，证明了算法的可行下降性及终止条件，研究了参数取特殊的值时所得算法的子族．
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| 关 键 词： | 非线性规划，拓广的梯度投影法，变尺度法，参数 |
The Extended Projection Variable Metric Algorithm with Parameters |
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| Wang Wei Cha Kewen Li Ruxiu. The Extended Projection Variable Metric Algorithm with Parameters[J]. Journal of Shandong Institute of Light Industry(Natural Science Edition), 1997, 11(3): 66-69 |
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| Authors: | Wang Wei Cha Kewen Li Ruxiu |
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| Abstract: | In this paper, we combine the extended projection type method given in 1 and uncontrained variable metric methodaand and give a new algorithm with n m 1 parameters to solve linearly constrained nonlinear programming problems.In addition, the feasible and decreasing properties of the algorithm and the terminated condition are proved and some subclasses are discussed. |
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| Keywords: | nonlinear program extended gradient projection variable metric method parameter |
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