二次型正定性在多元隐函数极值中的应用

The Application of Quadratic Positivity in the Extremum of Multiple Implicit Functions

利用二次型的正定性及隐函数的存在定理,给出了多元隐函数极值存在的必要条件,得到了一个快速判断多元隐函数极值的新方法。

In this paper,by using the positive character of quadratic form and the existence theorem of implicit function,we give the necessary condition for the existence of extreme value of multiple implicit function,and get a new method to judge the extreme value of multiple implicit function quickly.