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)-fxx2(P0)的几何意义.
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).
出处
《韶关学院学报》
2014年第6期11-15,共5页
Journal of Shaoguan University
基金
国家自然科学基金青年项目(61305070)
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
mathematical analysis
discriminant method of extreme value
the sufficient and necessaryconditions
the geometric meaning