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中文摘要：
本文主要研究在某些较弱条件下求解带线性互补约束的数学规划问题（MPLCc）正则方法的收敛性．若衡约束规划线性独立约束规范条件（MPEC-LICQ）在由正则方法产生的点列的聚点处成立，且迭代点列满足二阶必要条件，同时，若比在文[73中渐近弱非退化条件Ⅰ更弱的渐近弱非退化条件Ⅱ在聚点处也成立，那么所有这些聚点都是B-稳定点．此外，在弱MPEC-LICQ，二阶必要条件及渐近弱退化条件Ⅱ下，我们仍能证明通过正则方法所得的聚点都是睁稳定点．
英文摘要：
In this paper,we study convergence properties of regularization methods for mathematical programs with linear complementarity constraints （MPLCC） under some weaker conditions. If the linear independence constraint qualification of mathematical programs with equilibrium constraints （MPECLICQ） condition holds at the accumulation points of the sequence generated by regularization methods,and if an approaching subsequence satisfies the second-order necessary condition,and if the asymptotically weak nondegeneracy Ⅱ condition which is weaker than the asymptotically weak nondegeneracy Ⅰ condition in [7] holds at its accumulation points,then all these accumulation points are Bounligand stationary points. Furthermore, under some weak MPEC-LICQ condition,the second-order necessary condition and the asymptotically weak nondegeneracy Ⅱ condition,we also conclude that all the accumulation points are Bouligand stationary points for regularization methods.
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Smoothing Levenberg-Marquardt Method for General Nonlinear Complementarity problems under local erro
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