n元二次函数的极值公式

Study on the Extreme Value Problems of the Quadratic Functions with n Variables

n元二次函数的极值问题在最优化理论中是非常重要的一类问题,本文研究了一般的n元二次函数的极值问题,给出了n元二次函数极值存在的充分必要条件和极值的一般公式.

The extreme value problems of the n-variables quadratic function is a very important type of problems in optimization theory.We study the extreme value problems of the general n-quadratic function,and gives a sufficient and necessary condition for the existence of the extreme value of the n-variables quadratic function and general formulas for extreme values in this paper.