Vandermonde函数矩阵的逆与若干函数恒等式  

On the Inverse Matrix of Vandermonde’s Matrix and Some Identical Equalities

作　　者：杜宪刚 

机构地区：[1]徐州市第十八中学,江苏徐州221006

出　　处：《江苏师范大学学报（自然科学版）》1999年第3期7-9,共3页Journal of Jiangsu Normal University：Natural Science Edition

摘　　要：利用熟知的 Ｌａｇｒａｎｇｅ 插值公式可求得由 Ｖａｎｄｅｒｍ ｏｎｄｅ 行列式确定的 Ｖａｎｄｅｒｍ ｏｎｄｅ 函数矩阵的逆矩阵。The inverse matrix of Vandermonde’s functional matrix is studied with Lagrange’s interpolation formula, and a formula for determining the inverse matrix of Vandermonde’s functional matrix is given. And some functional identical equalities that are hard proven normally are obtained here.

关 键 词：VANDERMONDE行列式 VANDERMONDE矩阵 Lagrange插值公式 恒等式 多项式次数 

分 类 号：O151.22[理学—数学]