一类广义Vandermonde矩阵的求逆问题

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Li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．

The Inverse Problem of Generalized Vandermonde Matrix

The Vandermonde matrix is an important type of matrix in matrix theory, and many of its gen-eralized 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.