摘要
应用矩阵的语言,对一、二元函数的极值必要条件与充分条件作了推广,从而给出了n元函数的极值必要条件与充分条件,为多元函数极值的讨论提供了一种判别方法。
This paper deals with the popularization of the essential and sufficient conditions for the extreme value of function on the basis of a single and two independent variables by using matrix language.In doing so, it offers not only the essentral and sufficient conditions for the extreme value of many independent variables, but also a method of discrimination for the discussion on the extreme value of function of many independent variables.
关键词
极值
梯度
正定
负定
可逆
函数
extreme value
ladder degree
positive definite
negative definite
reversibility