高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2012年
4期
30-33
,共4页
杨廷鸿%林琼%但琦%付诗禄
楊廷鴻%林瓊%但琦%付詩祿
양정홍%림경%단기%부시록
条件极值%特征值%Lagrange乘数法
條件極值%特徵值%Lagrange乘數法
조건겁치%특정치%Lagrange승수법
conditional extrema%eigenvalue%method of Lagrange multiplier
从Lagrange条件极值出发,讨论二项式条件极值的Lagrange乘数法求解,并将其引申到矩阵特征值问题,拓展到n维空间,而且结合空间曲面知识,将其条件限制拓展到更一般情形.
從Lagrange條件極值齣髮,討論二項式條件極值的Lagrange乘數法求解,併將其引申到矩陣特徵值問題,拓展到n維空間,而且結閤空間麯麵知識,將其條件限製拓展到更一般情形.
종Lagrange조건겁치출발,토론이항식조건겁치적Lagrange승수법구해,병장기인신도구진특정치문제,탁전도n유공간,이차결합공간곡면지식,장기조건한제탁전도경일반정형.
Inspired by the method of Lagrange multiplier for conditional extrema of binomials, this paper uses the eigenvalues of the corresponding matrix to solve certain extrema problems with certain restrictions in n-dimensional space. Broader restrictions are also discussed.
