| 以拉格朗日乘数法求极值为参照的比较研究 |
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| 引用本文： | 樊福印.以拉格朗日乘数法求极值为参照的比较研究[J].哈尔滨师范大学自然科学学报,2013(5):33-35. |
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| 作者姓名： | 樊福印 |
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| 作者单位： | 大连广播电视大学 |
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| 摘 要： | 在高等数学中,经常利用拉格朗日乘数法解决多元函数的极值问题.以其为参照,分别列举了柯西定理、均值不等式、换元和三角函数等方法,并加以比对,力争为多元函数的极值问题学习打开思路.
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| 关 键 词： | 拉格朗日乘数法 柯西定理 均值不等式 换元法 比较 高等数学 |
The Research on the Comparision of the Extreme Value with the Lagrange Multiplier Method |
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| Fan Fuyin.The Research on the Comparision of the Extreme Value with the Lagrange Multiplier Method[J].Natural Science Journal of Harbin Normal University,2013(5):33-35. |
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| Authors: | Fan Fuyin |
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| Institution: | Fan Fuyin ( Dalian Radio ＆ TV University) |
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| Abstract: | The Lagrange multiplier methed is used to solving extremum problem of serveral variables in higher mathematics. With the lagrange multiplier method as reference, some methods are listed and compared, such as Cauchy theorem, mean value inequality, change element and triangle function, etc, which purpose is to open the way for the extreme value of multivariate function. |
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| Keywords: | The Lagrange multiplier method The Cauchy theorem Mean value inequality Substitution Comparison Higher mathematics |
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