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Algorithms for Finding the Inverses of Factor Block Circulant Matrices
作者姓名:Zhaolin  Jiang  Zongben  Xu  Shuping  Gao
作者单位:Zhaolin Jiang;Zongben Xu and Shuping Gao 1 School of Science,Xi'an Jiaotong University,Xi'an 710049,China/Department of Mathematics,Linyi Teachers College,Linyi 276005,China/College of Mathematics,Qufu Normal University,Qufu 273165,China.2 School of Science,Xi'an Jiaotong University,Xi'an 710049,China.3 Department of Applied Mathematics,Xidian University,Xi'an 710071,China.
摘    要:In this paper,algorithms for finding the inverse of a factor block circulant matrix, a factor block retrocirculant matrix and partitioned matrix with factor block circulant blocks over the complex field are presented respectively.In addition,two algorithms for the inverse of a factor block circulant matrix over the quaternion division algebra are proposed.

关 键 词:逆矩阵  分块矩阵  算法  循环矩阵
收稿时间:2002-12-27
修稿时间:2004-01-10

Algorithms for Finding the Inverses of Factor Block Circulant Matrices
Zhaolin Jiang Zongben Xu Shuping Gao.Algorithms for Finding the Inverses of Factor Block Circulant Matrices[J].Numerical Mathematics A Journal of Chinese Universities English Series,2006,15(1):1-11.
Authors:Zhaolin Jiang  Zongben Xu  Shuping Gao
Abstract:In this paper,algorithms for finding the inverse of a factor block circulant matrix, a factor block retrocirculant matrix and partitioned matrix with factor block circulant blocks over the complex field are presented respectively.In addition,two algorithms for the inverse of a factor block circulant matrix over the quaternion division algebra are proposed.
Keywords:Inverses matrix  factor block circulant matrix  partitioned matrix  factor block retrocirculant matrix
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