Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices 被引量：1

Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

下载PDF

导出

摘要Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ　Ｉｎｖｅｒｓｅｓ　ａｎｄ　Ｇｒｏｕｐ　Ｉｎｖｅｒｓｅｓ　ｏｆ　Ｂｌｏｃｋ　ｋ－Ｃｉｒｃｕｌａｎｔ　ＭａｔｒｉｃｅｓＭｏｏｒｅ－ＰｅｎｒｏｓｅＩｎｖｅｒｓｅｓａｎｄＧｒｏｕｐＩｎｖｅｒｓｅｓｏｆＢｌｏｃｋｋ－Ｃｉｒｃｕｌａｎ... The Moore-Penrose inverse of a block k-circulant matrix whose blocks are arbitrary matrices are obtained when k has unit modulus. In the meantime. explicit formulae for finding group inverses of certain specified k-circulant matrices are also given.

作者 Chen Jianlong(Department of Mathematics and Mechanics, Southeast University, Naming, 210018)

出处《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第1期86-99,共14页 数学季刊（英文版）

关键词 MOORE-PENROSE逆分块K-循环矩阵群逆 Moore-Penrose inverse group inverse block k-circulant matrix

分类号 O151.21 [理学—基础数学]

引文网络
相关文献

参考文献2

1Chao C Y，Linear Algebra Appl，1988年，103卷，133页
2Zhang Yao，数学的实践与认识，1984年，4卷，18页

引证文献1

1唐松,吴化璋.块k-循环矩阵的Moore-Penrose逆和带W权的Drazin逆[J].合肥工业大学学报（自然科学版）,2009,32(9):1442-1444. 被引量：1

二级引证文献1

1夏玲玲,邓斌.反三角分块矩阵的群逆存在性和表达式[J].合肥工业大学学报（自然科学版）,2015,38(9):1287-1290.

1ZHANG Jin-ou CEN Jian-miao.On Matrix Гα-group Inverse and Гα-sharp Ordering[J].Chinese Quarterly Journal of Mathematics,2008,23(2):215-221.
2Hong-Kui Pang,Xiao-Qing Jin.Some Properties of the Optimal Preconditioner and the Generalized Superoptimal Preconditioner[J].Numerical Mathematics(Theory,Methods and Applications),2010,3(4):449-460.
3D U Fa-peng,XUE Yi-feng.Unified Approach to the Expression for the Moore-Penrose Inverse of a- xy[J].Chinese Quarterly Journal of Mathematics,2014,29(3):465-474. 被引量：1
4杜法鹏.2×2分块矩阵群逆的表示（英文）[J].Chinese Quarterly Journal of Mathematics,2016,31(4):412-421.
5SHENG Xing Ping,CAI Jing,CHEN Guo Liang.The Representation of Group Inverse with Affine Combination[J].Journal of Mathematical Research and Exposition,2009,29(2):309-316.
6Chongguang CAO,Yingchun WANG,Yuqiu SHENG.Group inverses for some 2 × 2 block matrices over rings[J].Frontiers of Mathematics in China,2016,11(3):521-538. 被引量：3
7余品能,蒋增荣.有关Toeplitz系统的研究(I)--块K-循环Toeplitz阵求逆的快…[J].工程兵工程学院学报（94643X）,1995,10(4):74-80.
8杜凤娇.幂等算子乘积的群逆的表示[J].高等学校计算数学学报,2016,38(1):18-23.
9Cao WenshengInstitute of Math.,Xiangtan Polytechnic Univ.,Xiangtan 411201,China..SOLVABILITY OF A QUATERNION MATRIX EQUATION[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(4):490-498. 被引量：2
10DU Fa-peng,XUE Yi-feng.The Reverse Order Law for Moore-Penrose Inverse of Closed Operators[J].Chinese Quarterly Journal of Mathematics,2013,28(1):139-146. 被引量：3

Chinese Quarterly Journal of Mathematics

1996年第1期

浏览历史

内容加载中请稍等...

Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices 被引量：1

参考文献2

引证文献1

二级引证文献1

相关作者

相关机构

相关主题

浏览历史