摘要
数学中求函数极值问题的方法有很多种,本文着重研究用二次型理论来求两种特殊类型的函数极值,然后讨论一般元二次式的极值,给出极值的判定和求极值的一个一般方法.
There are various methods to solve the conditional extremum problem. In this paper, we focus on the theory of quadratic forms to solve conditional extremum problems of two particular kinds. After that, based on studying conditional extremum of quadratic form in n variables, a decision of conditional extremum and a general way to solve it are also given.
出处
《福建教育学院学报》
2008年第10期98-101,共4页
Journal of Fujian Institute of Education
关键词
二次型
正定性
半正定性
主子式
特征值
极值
quadratic form
positive definiteness
positive-semi definiteness
principal minor determinant
eigenvalue
extremum