| 广义Newton法求解非线性优化问题 |
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| 引用本文： | 戴云仙,张建军,乌云花. 广义Newton法求解非线性优化问题[J]. 内蒙古农业大学学报(自然科学版), 2001, 22(4): 122-127 |
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| 作者姓名： | 戴云仙 张建军 乌云花 |
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| 作者单位： | 1. 内蒙古农业大学基础部,
2. 上海大学, |
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| 摘 要： | 将非线性优化问题转化为非光滑方程组求解，在映射的光滑性不能满足[5]关于广义Newton的收敛性理论的条件下，我们以较弱的条件，证明了广义Newton法对于非线性约束优化问题的适定性与局部平方收敛性，从而为直接应用广义Newton法于非线性优化问题提供了理论依据。最后以满意的数值结果，显示了广义Newton法对于非线性约束优化问题的可行性与有效性。
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| 关 键 词： | 广义Newton法 非线性优化问题 求解 |
| 文章编号： | 1009-3575(2001)04-0122-06 |
| 修稿时间： | 2001-07-23 |
THE SEARCH OF NONLINEAR OPTIMAL PROBLEM BY METHOD OF GENERALIZED NEWTON |
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| DAI Yun-xian ,ZHANG Jian-jun ,WU Yun-hua. THE SEARCH OF NONLINEAR OPTIMAL PROBLEM BY METHOD OF GENERALIZED NEWTON[J]. Journal of Inner Mongolia Agricultural University(Natural Science Edition), 2001, 22(4): 122-127 |
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| Authors: | DAI Yun-xian ZHANG Jian-jun WU Yun-hua |
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| Affiliation: | DAI Yun-xian 1,ZHANG Jian-jun 2,WU Yun-hua 1 |
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| Abstract: | Nonlinear constrained optimal problem was proved the feasibility and partial square convergence of method of generalized Newton,with weaker condition under the smoothness of map can't satisfy the convergent theory of generalized Newton of reference ,therefore, present theoretical evidence was supplied for straightly appling generalized Newton method in nonlinear optimal problem. The feasibility and efficiency of generalized Newton method was showed with satisfied numerical value result for nonlinear constrained optimal problem. |
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| Keywords: | method of generalized Newton nonlinear optimal problem solution |
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