正定性与二次函数的最值及二元函数的极值

The Maximum of Quadratic Function and the Extremism of Two Variable Function Based on the Positive Deficite Property

本文利用二次型理论给出了二次函数最值的一个充分条件及求法 ,定义了二元齐次多项式的正定性 ,并基于定义给出了二元函数极值的一个充分条件。

This paper gives out a sufficient and solution of quadratic function's maximum with theory of quadratic form and gives out the define of the positive d efinite property of the following homogeneous polynomial of degree 2n two varia ble function ,based on the definite of local maximum of two variable function i s derived .