块k-循环矩阵的Moore-Penrose逆和带W权的Drazin逆  

The Moore-Penrose inverse and the weighted Drazin inverse of block k-circulant matrices

作　　者：唐松[1] 吴化璋[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2009年第9期1442-1444,1448,共4页Journal of Hefei University of Technology：Natural Science

摘　　要：文章定义了一种新的块k-循环矩阵,给出块k-循环矩阵被对角化的一种表示形式,利用Fourier变换和块k-循环矩阵的对角化形式,进一步研究了块k-循环矩阵的Moore-Penrose逆及带W权的Drazin逆;与此同时,还给出了块k-循环矩阵的Moore-Penrose逆及带W权的Drazin逆的计算公式。A new block κ-circulant matrix is defined in this paper, and an expression for the diagonal- ization of the block κ-circulant matrices is given. By the Fourier transformation and the diagonalization of the block κ-circulant matrices, further investigated are the Moore-Penrose inverse and the weighted Drazin inverse of the block κ-circulant matrices. In the meantime, an explicit formula for finding the Moore-Penrose inverse and the weighted Drazin inverse of the block κ-circulant matrices is also presented.

关 键 词：块k-循环矩阵 MOORE-PENROSE逆 带W权的Drazin逆 FOURIER变换 

分 类 号：O151.21[理学—数学]