工程力学里很多问题存在互补关系,文献[1]介绍了有关的数学模型。本文介绍了近年来求解互补问题的几种主要方法,包括投影方法、内点方法、方程组方法、延拓方法以及无约束优化方法。与此同时,也介绍了作者近期在互补问题算法方面的一些研究工作。
A variety class of problems in engineering mechanics involves complementarity relations and some mathematical models are given in Ref. [1. Here, we introduce some of recent important algorithms, such as projection, interior-point, NCP functions and unconstrained minimization methods.Meanwhile, our work on algorithmic improvements is also presented.