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一类广义Vandermonde矩阵的求逆问题
引用本文:刘思洪.一类广义Vandermonde矩阵的求逆问题[J].湖州师范学院学报,2011,33(2):5-11.
作者姓名:刘思洪
作者单位:湖州师范学院,理学院,浙江,湖州,313000
摘    要:Vandermonde矩阵是矩阵理论中一个重要的矩阵类型,它的许多广义形式在处理矩阵问题时能起到关键的作用.当子块Di的阶数ι,比较大时,利用分块矩阵法给出了一类广义Vandermonde矩阵D的求逆方法及其逆矩阵的分块结构表达式.

关 键 词:广义Vandermonde矩阵  分块矩阵  逆矩阵

The Inverse Problem of Generalized Vandermonde Matrix
LIU Si-hong.The Inverse Problem of Generalized Vandermonde Matrix[J].Journal of Huzhou Teachers College,2011,33(2):5-11.
Authors:LIU Si-hong
Institution:LIU Si-hong (School of Science,Huzhou Teachers College,Huzhou 313000,China)
Abstract:The Vandermonde matrix is an important type of matrix in matrix theory,and many of its generalized forms are playing a key role in processing matrix problems.This paper provides the method of inverse of generalized Vandermonde matrix D and the block structure expression of its inversed matrix by using block matrices when the order number li of block matrix Di is comparatively large.
Keywords:generalized Vandermonde matrix  block matrix  inversed matrix  
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