CAJ | 학술논문

推导证明了一般 n元函数及常用的二元、三元函数在等式约束条件下用行列式表示的极值的必要条件 ,并从几何上对二元、三元函数在等式约束条件下取极值的必要条件予以了直观解释 .利用这些必要条件求解条件极值 ,因除去了Lagrange乘数法带来的Lagrange乘子对解方程组的困扰 ,而使得最终方程组的求解变得明快简洁 .
추도증명료일반 n원함수급상용적이원、삼원함수재등식약속조건하용행렬식표시적겁치적필요조건 ,병종궤하상대이원、삼원함수재등식약속조건하취겁치적필요조건여이료직관해석 .이용저사필요조건구해조건겁치 ,인제거료Lagrange승수법대래적Lagrange승자대해방정조적곤우 ,이사득최종방정조적구해변득명쾌간길 .
The paper provides an entire derivation of necessary conditions represented by determinant for conditional extreme value of multivariate function , binary function and ternary function under the equality constraints . And geometrical interpretations are presented to explain the necessary conditions for conditional extreme value of binary , ternary function .These necessary conditions simplify the solution of the constrained extreme value problem as they avoid the interference of Lagrange multiplicator in solving the final equation .