摘要
利用隐函数定理和Lagrange乘数法,在一个附加条件和两个附加条件下,探讨了三元函数条件极值存在的充分条件,获得了只依赖Lagrange函数和附加条件导数的判定结果,并给出应用实例。
By using implicit function theorem and Lagrange multiplier,sufficient conditions for conditional extreme value of ternary function were studied in this paper under one and two additional conditions.The judgment results relying on derivative of Lagrange function and additional conditions were obtained.Some application examples were given.
作者
李耀红
姜婉婷
李浩
LI Yao-hong;JIANG Wan-ting;LI Hao(School of Mathematics and Statistics,Suzhou University,Suzhou,234000,Anhui)
出处
《蚌埠学院学报》
2019年第2期89-92,共4页
Journal of Bengbu University
基金
安徽省高校自然科学基金重点项目(KJ2017A442
KJ2018A0452)
宿州学院自然科学重点项目(2016YZD06
2017YZD16)
宿州学院优秀学术技术骨干(2016XJGG13)
安徽省质量工程项目(2016SJJD035)
关键词
隐函数定理
LAGRANGE函数
条件极值
充分条件
implicit function theorem
Lagrange function
conditional extreme value
sufficient conditions
作者简介
通讯联系人:李耀红(1977-),男,湖北武汉人,教授,硕士。E-mail:liz.zhanghy@163.com.
