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不可微非线性规划的 L_1-精确罚函数法

L_1-EXACT PENALTY METHOD FOR NONDIFFERENTIABLE CONSTRAINED MINIMIZATION
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摘要 本文提出求解不可微非线性不等式约束极小化问题的 L_1-精确罚函数算法。在有关函数为半光滑的假设下,给出了收敛性结果。 A new kind of algorithm for minimizing an objective function subject to inequality constraints is presented,the functions relative to the problem are Lipschitz continuous.The algorithm determines a search direction by solving a quadratic programming subproblem,which has always an optimal solution,and uses an exact penalty function to compute the steplength along this direction through an Armijo-type scheme.Convergence results have been presented under the condition that all of the functions relative to the problem are semismooth.
作者 徐慧福
机构地区 宁波大学数学系
出处 《宁波大学学报(理工版)》 CAS 1992年第1期1-8,共8页 Journal of Ningbo University:Natural Science and Engineering Edition
关键词 不可微 非线性规划 罚函数法 收敛性 Nondifferentiable constrained minimization exact penalty functions sequential quadratic programming covergence
分类号 O [理学]
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