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三元函数极值的一个充分条件
Sufficient condition for extreme value of three variables function
【摘要】 极值问题在函数研究过程中非常重要.高等数学中二元函数极值问题的求解方法对三元函数并不适用.利用三元函数的二阶偏导数,给出了三元函数无条件极值判别的一个充分条件,然后将其推广到条件极值的情形,最后给出实例.
【Abstract】 The extreme value problem plays an important role in function analysis.For the method solving the extreme value problem of two varibles function is not available for three variables function,a sufficient condition for extremum of three variables function was obtained by virtue of second partial derivatives.Then,the conclusion was popularized to conditional extremum.Finally,its application was discussed.
【关键词】 三元函数;
充分条件;
条件极值;
【Key words】 function with three variables; sufficient condition; conditional extremum;
【Key words】 function with three variables; sufficient condition; conditional extremum;
- 【文献出处】 江苏科技大学学报(自然科学版) ,Journal of Jiangsu University of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2010年05期
- 【分类号】O177.4
- 【被引频次】6
- 【下载频次】600