摘要
笔者给出并证明了两个判断条件极值的充分条件.可求解函数z=f(x,y)在附加条件为φ(x,y)=0和函数u=f(x,y,z)在附加条件为φ(x,y,z)=0的条件极值问题.利用Lagrange乘数法求出驻点,再用笔者给出求解条件极值的上述方法即可解决驻点是否为极值点.
Two full conditions for the judgment of conditional extreme value are presented and proved.These conditions can help to work out the extreme value for the function z=f(x,y) under the additional condition φ(x,y)=0 and for the function u=f(x,y,z) under the additional condition φ(x,y)=0.Critical number can be worked out by using method of Lagrange multipliers and whether the critical number is the extreme value point can also be calculated by using the method offered by the author.
出处
《沈阳建筑工程学院学报（自然科学版）》
2004年第1期80-83,共4页
Journal of Shenyang Architectural and Civil Engineering University(Nature Science)
关键词
驻点
极值
条件极值
最大值
最小值
:
.
'
..
critical number
extreme value
condition extreme value
maximum
minimum
