非线性规划的SUMT混合法及其应用

本文提出了非线性规划的内点法与外点法相结合的一种新方法－ＳＵＭＴ混合法，它既兼备内，外点法的功能，又克服了各自单一方法中的缺点。另外，本文还给出无约束问题两种解法的比较及证明，并应用上述方法，利用计算机对精密齿轮按最小转动惯量进行最优设计，取得了令人满意的成果。

SUMT Mixing Method of Nonlinear Programming and Its Application

In this paper, we put forward SUMT mixing method, a new methed of combining inner - point rnethed with outer - point methed in nonlinear programming.The method not only possesses the function of both inner - point methed and outer - point methed, but also overcome the shortcomings of the both metheds. Moreover, we pressent the comparison and proof of the two kinds of metheds for solving irretrictional prOblem.By using of the above methed, we also use computer to make optimum design on precision gear according to minimum turning inertia and get satisfactory results.