Efficient algorithm for finding the inverse and the group inverse of FLS r-circulant matrix

被引:17
|
作者
Jiang Z.-L. [1 ,2 ,3 ]
Xu Z.-B. [1 ]
机构
[1] School of Science, Xi'an Jiaotong University
[2] College of Mathematics, Qufu Normal University, Qufu Shandong
[3] Department of Mathematics, Linyi Teachers College, Linyi Shandong
关键词
Euclidean algorithm; FLS r-circulant matrix; Inverse; group inverse; Polynomial ring;
D O I
10.1007/BF02936555
中图分类号
学科分类号
摘要
An efficient algorithm for finding the inverse and the group inverse of the FLS r-circulant matrix is presented by Euclidean algorithm. Extension is made to compute the inverse of the FLS r-retrocirculant matrix by using the relationship between an FLS r-circulant matrix and an FLS r-retrocirculant matrix. Finally, some examples are given. © 2005 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
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页码:45 / 57
页数:12
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