中文摘要：

为从 Picard 重复观点解决 nonsmooth 方程介绍概括牛顿方法，近似牛顿方法，和切开的方法的分析。Picard 重复的弱 Jacobian 的半径的细节工作；概括 Jacobian；为 piecewise 方程的概括牛顿方法。

英文摘要：

Presents an analysis of the generalized Newton method, approximate Newton methods, and splitting methods for solving nonsmooth equations from Picard iteration viewpoint. Details of the radius of the weak Jacobian of Picard iteration function; Generalized Jacobian; Generalized Newton methods for piecewise equations.