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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
【摘要】 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。
【Abstract】 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 .
【关键词】 正定性能;
二次函数;
二元函数;
最值;
极值;
【Key words】 positive definite property; quadratic function; two variable function; maximum; extremism;
【Key words】 positive definite property; quadratic function; two variable function; maximum; extremism;
- 【文献出处】 长春师范学院学报 ,Journal of Changchun Teachers College , 编辑部邮箱 ,2005年02期
- 【分类号】O174
- 【被引频次】1
- 【下载频次】400