一种研究圆柱度目标函数单谷性的新方法

A New Method for Studying the Single Valley Characteristic of Cylindricity Objective Function

提出了一种研究圆柱度目标函数单谷性的新方法。圆柱度目标函数单谷性的问题目前研究得还很少，而弄清楚圆柱度目标函数是否是单谷函数对于用优化原理正确地计算其极值是非常重要的。用本文的方法，借助于计算机能迅速地确定任一圆柱度目标函数是否是单谷函数，从而解决了用纯数学的方法难以解决的问题。

This paper proposes a new method for studying the single valley characteristic of the cylindricity objective function which is seldom studied up to now. It is very important to computing its extreme value correctly by optimization principle to make sure that a cylindricity objective function is a single valley one or not. By means of a computer, we can rapidly determine whether any cylindricity objective function is a single valley one or not by the method proposed in the paper. Therefore, the problem which is very difficult to solve by pure mathematical method is solved.