Smoothing by mollifiers. Part II: nonlinear optimization
Smoothing by mollifiers. Part II: nonlinear optimization
复制标题
通过软化剂进行平滑处理。
DOI：
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发表时间：
2008
影响因子：
1.8
通讯作者：
O. Stein
中科院分区：
文献类型：
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作者：
H. Jongen;O. Stein
本文填写了论文（Jongen，Stein，Mollifers的平滑第I部分：半侵入式优化J Glob Optim DOI：10.1007/S10898-007-9232-3），我们在这里表明一套紧凑的可行性可行的标准半融合套件在非线性编程的特殊情况下，可以将优化问题通过一个单一平滑函数进行任意近似。在本文中描述了可行集合的有限最小功能。
This article complements the paper (Jongen, Stein, Smoothing by mollifers part I: semi-infinite optimization J Glob Optim doi:10.1007/s10898-007-9232-3), where we showed that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a level set of a single smooth function with certain regularity properties. In the special case of nonlinear programming this function is constructed as the mollification of the finite min-function which describes the feasible set. In the present article we treat the correspondences between Karush–Kuhn–Tucker points of the original and the smoothed problem, and between their associated Morse indices.