半光滑方程利用UV-分解理论求解

Semismooth Equation Theoretical Analysis and Application in the UV-Decomposition

利用uv-分解理论，将半光滑函数应用到uv-分解中．首先利用半光滑函数的性质，对半光滑函数uv-分解的合理性予以考虑，主要考虑了Lu函数和最优解集W（u）在u-空间的性质，得出了相关的结论和定理，并利用Newton法和得出的性质定理，给出了半光滑方程的另一种求解方法．

The semismooth function is applied to uv-decomposition by using finite convex function＇s uv-decomposition. First of all, we sufficiently conside the rationalization of semismooth function＇s uv-decomposition. Secondly, we conside the character of uv-lagrangian and W（u） in the u-space, and obtain some relative qualities and theorems. Finally, we make full use of Newton methods and the obtained qualities and theorems to give another method, which can solve the semismooth equation.