| 关于二元函数极值判别法的改进 |
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| 引用本文： | 冯守平.关于二元函数极值判别法的改进[J].韶关学院学报,2014(6):11-15. |
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| 作者姓名： | 冯守平 |
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| 作者单位： | 安徽财经大学统计与应用数学学院,安徽蚌埠233030 |
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| 基金项目： | 国家自然科学基金青年项目（61305070）. |
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| 摘 要： | 提出了将二元函数极值化为一元函数极值的一种新方法；给出了二元函数极值存在的充分必要条件，改进了二元函数极值的判别法；并给出了判别式△=fxx（P0）fyy（P0）-fxx^2（P0）的几何意义．
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| 关 键 词： | 数学分析 极值判别法 充分必要条件 判别式的几何意义 |
On the improvement of the discriminant method of binary function extreme value |
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| FENG Shou-ping.On the improvement of the discriminant method of binary function extreme value[J].Journal of Shaoguan University(Social Science Edition),2014(6):11-15. |
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| Authors: | FENG Shou-ping |
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| Institution: | FENG Shou-ping (School of Statistics ＆ Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui, China) |
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| Abstract: | The paper discusses a new method of transforming the binary function extreme value into the linear function extreme value by providing the sufficient and necessary conditions of the existence of the binary function extreme value, and hence improves the diseriminant method. It also gives the geometric meaning of the discriminant function △=fxx（P0）fyy（P0）-fxx^2（P0）. |
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| Keywords: | mathematical analysis discriminant method of extreme value the sufficient and necessaryconditions the geometric meaning |
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