论文标题
在非线性半决赛优化中的二阶足够最佳条件的简单证明
A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization
论文作者
论文摘要
在本说明中，我们为非线性半决赛优化中众所周知的二阶足够最佳条件提供了基本证明，该优化不依赖于二阶切线的增强理论。我们的方法建立在与半芬锥相关的指标函数的明确基本计算上，该指标函数恢复了文献中已知的最佳曲率项。
In this note, we present an elementary proof for a well-known second-order sufficient optimality condition in nonlinear semidefinite optimization which does not rely on the enhanced theory of second-order tangents. Our approach builds on an explicit elementary computation of the so-called second subderivative of the indicator function associated with the semidefinite cone which recovers the best curvature term known in the literature.
