分片C^2凸函数Moreau-Yosida逼近的分片光滑性质

The Property of Piecewise Smoothness of Moreau-Yosida Approximation for a Piecewise C^2 Convex Function

对分片 Ｃ２凸函数的 Ｍｏｒｅａｕ－Ｙｏｓｉｄａ逼近研究了它的梯度性质，引进了序列常秩约束条件，在此条件下证明了梯度函数具有分片光滑性质．

The gradient of the Moreau-Yosida approximation to a piecewise C2 convex function is studied in this paper. The piecewise smoothness of the gradient function is obtained by introducing a constraint qualification of the sequential constant rank.