两类特殊矩阵求逆公式的简易推导  

Simple Derivation for Inversing Formula on the Two Types of Special Matrix

作　　者：汪仲文[1] 

机构地区：[1]喀什师范学院数学系,新疆喀什844008

出　　处：《喀什师范学院学报》2013年第6期1-4,共4页Journal of Kashgar Teachers College

摘　　要：巧妙地利用Lagrange插值多项式,给出了Vandermonde矩阵和Cauchy矩阵的逆矩阵显式公式的简易推导,避免了用传统的伴随矩阵方法来推导这两类特殊矩阵逆矩阵的公式的繁复计算.A simple and convenient method of the Vandermonde matrix and Canchy matrix inverse matrix explicit fornula was deduced by the language interpolation poly nomial.This method is able to avoid the complicated calculation by using the adjoint matrix for these two types of special matrix inverse matrix formula derive.

关 键 词：Lagrange插值公式 VANDERMONDE矩阵 CAUCHY矩阵 基本对称函数 伴随矩阵 

分 类 号：O151.21[理学—数学]