| 等式约束非线性规划问题的一种新算法 |
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| 引用本文： | 龚晓岚. 等式约束非线性规划问题的一种新算法[J]. 南京工程学院学报(自然科学版), 2011, 9(1): 5-8 |
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| 作者姓名： | 龚晓岚 |
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| 作者单位： | 黑龙江交通职业技术学院运输管理系,黑龙江 齐齐哈尔,161000 |
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| 摘 要： | 把有等式约束的非线性规划问题序列二次化,再利用二次规划问题的降维算法与经典的Lagrange-Newton法结合,迭代求解,从而获得具有等式约束的非线性规划问题的一种新算法,在一定程度上降低了计算的复杂度,提高了算法的效率,并且初始点的选取较灵活,对于许多实际问题,可将当前状况作为初始点,因此该算法的应用性很广.最后给...
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| 关 键 词： | 等式约束 非线性规划 降维算法 最优解 |
A New Algorithm for Nonlinear Programming Problems of Equality Constraints |
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| GONG Xiao-lan. A New Algorithm for Nonlinear Programming Problems of Equality Constraints[J]. Journal of Nanjing Institute of Technology :Natural Science Edition, 2011, 9(1): 5-8 |
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| Authors: | GONG Xiao-lan |
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| Affiliation: | GONG Xiao-lan (Dept.of Transportation Management,Heilongjiang Communications Polytechnic,Qiqihar 161000,China) |
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| Abstract: | Sequential quadratic programming is used on problems of nonlinear programming of equality constraints and then dimension descending algorithm and the classic Lagrange Newton method are adopted to work out an iterative solution. Therefore,a new algorithm for nonlinear programming problems of equality constraints is reached,which turns out to be reasonably effective,particularly in simplifying computation.Moreover,it proves relatively flexible in terms of selecting initial points.For example,current situation... |
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| Keywords: | equality constraint nonlinear programming dimension descending algorithm optimal solution |
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