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《College Mathematics》 2006-02
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On the Weighted Generalized Inverse of Matrices over Regular Rings

LIU Xiao-ji(College of Computer and Information Science,Guangxi University of Nationaliteis,Nanning530006,China)  
The new weighted generalized inverse of matrix over regular rings is studied.A necessary and sufficient condition for existence and an explicit expression of the weighted generalized inverse are given.Some known results on literature in this direction are extended.
【Fund】: 广西省自然科学基金(05705032);; 广西教育厅科研项目(200507126)
【CateGory Index】: O153.3
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Jiang Shengyuan(Jiangxi Normal University,Nanchang);An Application of T-inverses of Matrices to a Class of Constrained System[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1994-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Liao Zuhua(Dept. of Math. of YiuTan Education College, Jangxi YinTan 335000);Generalized Inverses of Morphisms withEquivalence Factorizations[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1994-03
2 Liu Xiaoji;Jiang Shengyuan (Department of Mathematics,Jiangxi Normal University.Nanchang 330027);Γ-inverse of Matrix over Skew Field[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1996-01
3 ZHOU Min-na (College of Science and Technology, Ningbo University, Ningbo 315211,China);On Γ-inverses and star ordering in morphism set[J];Pure and Applied Mathematics;2009-02
4 Chen Jianlong(Department of Mathematics and Mechanics,Southeast University,Nanjins 210018);Generalized Inverses of Matrices over Rings(Ⅱ)[J];JOURNAL OF SOUTHEAST UNIVWRSITY;1994-01
5 FU Xiao-fang,WU Yan (Department of Mathematices,Qiongzhou University,Wuzhishan,Hainan 572200,China);Research into generalized inverse matrices of special product of matrices over Z/p~kZ[J];Basic Sciences Journal of Textile Universities;2007-02
6 Chen Yanping;On the Species Matrixs over Semirings[J];Journal of Fujian Commercial College;2007-02
7 CEN Jian-miao (Department of Mathematics, Ningbo University, Ningbo 315211);Matrix Γ_α-Moore-Penrose Inverses and the Star Ordering[J];Chinese Journal of Engineering Mathematics;2006-01
8 Cen Jianmiao (Department of Mathematics,Ningbo University,Ningbo 315211);ONΓ-DRAZIN INVERSES AND CORE-NILPOTENT DECOMPOSITION OF RECTANGULAR MATRICES[J];Numerical Mathematics a Journal of Chinese Universities;2006-03
9 YUAN Wan-gui,LIAO Zu-hua(Science of Jiangnan University,Wuxi Jiangsu 214122,China);The Reverse Order Law of Weighted Generalized Inverses of Matrix[J];College Mathematics;2009-01
10 ZHANG Shi-guang,LIU Xiao-ji(College of Computer and Information,Guangxi University for Nationalities,Nanning 530006,China);The Weighted Moore-Penrose Inverse of Matrices Over Rings[J];Journal of Guangxi University for Nationalities(Natural Science Edition);2006-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Shi-guang,LIU Xiao-ji(College of Computer and Information,Guangxi University for Nationalities,Nanning 530006,China);The Weighted Moore-Penrose Inverse of Matrices Over Rings[J];Journal of Guangxi University for Nationalities(Natural Science Edition);2006-01
2 CEN Jian-miao(Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang Province, China);On Moore-Penrose Inverses of Matrices over a Ring[J];Journal of Jilin University (Science Edition);2005-04
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6 Jian Miao CEN Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China;On Existence of the Generalized Moore-Penrose Inverses of Matrices over Ring[J];Acta Mathematica Sinica;2006-03
7 LIU Xiao-ji, LIU San-yang, WANG Zhi-jian (1. Dept. of Appl. Math., Xidian University, Xi'an 710071, China, 2. Dept. of Math. , Suzhou Railway Teachers'College, Jiangsu 215009, China);The Moore-Penrose Inverse of Matrices on Rings[J];Journal of Mathematical Research and Exposition;2003-04
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9 Zhuang Wajin (Nanping teachers college);GENERALIZED INVERSES OF MATRICES OVER A SKEW-FIELD[J];Journal of Mathematics;1986-01
10 LIU Shu-dan YOU Hong(Dept. of Math.,Harbin Institute of Technology, Harbin 150001);THE GENERALIZED MOORE-PENROSE INVERSE OF MATRICES OVER RINGS[J];Journal of Mathematics;2002-01
【Secondary Citations】
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1 Zhuang Wajin (Nanping teachers college);GENERALIZED INVERSES OF MATRICES OVER A SKEW-FIELD[J];Journal of Mathematics;1986-01
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