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中文摘要：
研究一类无限维非光滑算子方程的光滑化牛顿法，构造光滑函数逼近非光滑算子．在半光滑假设条件下，证明了光滑化牛顿法具有全局超线性收敛性．研究表明，此算法可用来求解一类特殊的来源于无限维非线性互补问题的非光滑算子方程．
英文摘要：
The main feature of the smoothing Newton method is to use a smooth function to approximate the nonsmooth operator. Under the assumptions of semismoothness, the global superlinear convergence of the smoothing Newton method was proved. The algorithm was applied to a particular kind of nonsmooth operator equations arising from the infinite-dimensional nonlinear complementary problem.
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Global and local convergence of a nonmonotone trust region algorithm for equality constrained optimi
Existence of equilibrium points and stability of the nonlinear dynamical system in microbial continu
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