Abstract

The gradient projection method is generalized to nonconvex sets of constraints representing the set-theoretic difference of a set of points of a smooth surface and the union of a finite number of convex open sets. Necessary optimality conditions are examined, and the convergence of the method is analyzed.

中文翻译：

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一类具有光滑表面点子集约束的优化问题的梯度投影方法

摘要

梯度投影方法一般化为非凸约束集，这些非凸约束集表示光滑表面的一组点的集理论差和有限数量的凸开集的并集。研究了必要的最优性条件，并分析了该方法的收敛性。