一类广义Vandermonde矩阵的求逆问题  

The Inverse Problem of Generalized Vandermonde Matrix

作　　者：刘思洪[1] 

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2011年第2期5-11,共7页Journal of Huzhou University

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 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.

关 键 词：广义 VANDERMONDE矩阵 分块矩阵 逆矩阵 

分 类 号：O175.14[理学—数学]