SIAM Journal on Optimization, Volume 31, Issue 1, Page 489-517, January 2021.
In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multivalued part of the considered GE. The method is based on the new notion of semismoothness${}^*$, which, together with a suitable regularity condition, ensures the local superlinear convergence. An implementable version of the new method is derived for a class of GEs, frequently arising in optimization and equilibrium models.

中文翻译：

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关于求解广义方程的半光滑*牛顿法

SIAM优化杂志，第31卷，第1期，第489-517页，2021
年1月。在本文中，推导了一种用于求解广义方程（GE）的牛顿型方法，其中线性化既涉及单值问题，也涉及线性问题。考虑的GE的多值部分。该方法基于新的半光滑度$ {} ^ * $的概念，该概念与适当的规则性条件一起确保局部超线性收敛。新方法的可实现版本是针对一类通用电气产生的，通常在优化和平衡模型中出现。