关于可行方向法的二个注记 |
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引用本文: | 孟香惠.关于可行方向法的二个注记[J].四川三峡学院学报,2013(3):20-22. |
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作者姓名: | 孟香惠 |
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作者单位: | 深圳广播电视大学,广东深圳518001 |
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摘 要: | 文1]中引理10.2.6.是证明非线性规划的可行方向法之收敛性的一个极为重要的依据.本文给出了一个简单的推论,并由此说明重要文献4]中关于约束函数二次可微的假设可去.最后将引理的思想用于点到集映射算法.说明文5]中关于一致正则的假设可减弱成所谓准一致正则.
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关 键 词: | 非线性规划 可行方向法 点到集映射 |
Two Remarks on the Feasible Direction Algorithm |
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Institution: | MENG X i anghu i (Shenzhen Broadcast &TV University, Shenzhen, 518001, China) |
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Abstract: | Lemma 10.2.6 in 1] is important to prove the convergence of feasible direction algorithm for nonlinear programming problem. Our lemma shows that twice differentiability of the constraint function from 4] is not necessary. Then we apply the lemma to point-to-set mapping algorithm. The assumption of consistent regularization 5] can be weakened into quasi-uniform regularity. |
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Keywords: | nonlinear programming feasible direction algorithm Point-to-Set mapping |
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