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两类特殊矩阵求逆公式的简易推导
引用本文:汪仲文.两类特殊矩阵求逆公式的简易推导[J].喀什师范学院学报,2013(6):1-4.
作者姓名:汪仲文
作者单位:喀什师范学院数学系,新疆喀什844008
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.

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

Simple Derivation for Inversing Formula on the Two Types of Special Matrix
WANG Zhong-wen.Simple Derivation for Inversing Formula on the Two Types of Special Matrix[J].Journal of Kashgar Teachers College,2013(6):1-4.
Authors:WANG Zhong-wen
Institution:WANG Zhong-wen (Department of Mathematics,Kashgar Teachers College,Kashgar 844008.Xinjiang, China)
Abstract: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.
Keywords:Language interpolation fornula  Vandermonde matrix  Cauchy matrix  Basic symmetric function  Adjoint matrix  
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