摘要
利用临界点指数I(f,)a(即f在a的Hessian矩阵的负特征值的个数)来判断函数f的临界点a的类型,从而对函数的鞍点也可进行分类,并对定理1和2的内在联系作了讨论,给出了判断临界点类型的例子.
The purpose of this paper is to utilize critical point index I(f, a) ( that is to say, “f”is a total of negative feature value of Hessian matrix in“a”)to judge the specific type of “a”in f's critical point in order to classify the saddle - point of function, disscuss internal relations of theoren 1 and theorem 2 and give some example for judging the type of critical point.
出处
《宁德师专学报(自然科学版)》
2005年第3期234-236,共3页
Journal of Ningde Teachers College(Natural Science)
关键词
临界点指数
约束临界点指数
极大值
极小值
鞍点
critucal point index
control critical point index
maximum value
minimum value
saddle- point