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一种约束非光滑优化问题的信赖域算法 被引量:3

A Trust Region Algorithm for Constrained Nonsmooth Optimization
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摘要 提出了一种易实施的求解带线性约束的非光滑优化问题的信赖域算法 ,并在一定的条件下证明了该算法所产生的迭代序列的任何聚点都是原问题的稳定点 .有限的数值例子表明 。 In this paper, a trust region algorithm TR for linearly constrained optimization is given. Under some conditions, we prove that each accumulation point of the algorithm TR is a stationary point of the primitive problem. The limited numerical experiment show the efficiency of the given method.
作者 欧宜贵
出处 《数学物理学报(A辑)》 CSCD 北大核心 2002年第2期157-162,共6页 Acta Mathematica Scientia
关键词 非光滑优化 信赖域算法 稳定点 局部LIPSCHITZ函数 Nonsmooth optimization Trust region algorithm Stationary point Locally Lipschitzian function.
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共引文献33

同被引文献29

  • 1Bing-sheng He(Department of Mathematics, Nanjing University, Naming 210093, China).SOLVING TRUST REGION PROBLEM IN LARGE SCALEOPTIMIZATION[J].Journal of Computational Mathematics,2000,18(1):1-12. 被引量:2
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  • 3欧宜贵,侯定丕.一类约束非光滑优化的非单调信赖域算法(英文)[J].应用数学,2005,18(1):60-65. 被引量:4
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