论文标题
一般非凸优化问题的二阶最佳条件和分离系统的变异分析
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems
论文作者
论文摘要
在本文中，我们提出了二阶足够的最优化条件，以解决一个非常普遍的非概念限制的优化问题，该问题涵盖了许多突出的数学程序。与文献中的现有结果无关，我们的条件被证明足够足够，对于二阶的必不可少的局部最小化，在第二部分中，在秒数中，我们的次要序列是秒数，我们在第二部分中的依次分析。并说明在这种情况下如何有效地计算出在最佳条件下出现的二阶对象。
In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical programs.Unlike the existing results in the literature, our conditions prove to be sufficient, for an essential local minimizer of second order, under merely basic smoothness and closedness assumptions on the data defining the problem.In the second part, we propose a comprehensive first- and second-order variational analysis of disjunctive systems and demonstrate how the second-order objects appearing in the optimality conditions can be effectively computed in this case.
