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《Bulletin of Science and Technology》 2009-06
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The Г_(αβ)-Moore-Penrose Inverse of Matrices over Rings

CHEN Jianguo,CEN Jianmiao(Faculty of Science,Ningbo University,315211 Ningbo,China)  
The Гαβ-generalized inverse and Гαβ-Moore-Penrose inverse of matrices over a ring are discussed.The necessary and sufficient conditions for existence and the explicit expressions of the Гαβ-generalized inverse and Гαβ-Moore-Penrose inverse of a kind of decomposable matrices over a ring with an involution * and unitary are given,and some pre-vious results are extended.
【Fund】: 浙江省自然科学基金项目(编号Y604089)
【CateGory Index】: O151.21
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【Citations】
Chinese Journal Full-text Database 4 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 Yin Youqi Cen Jianmiao (Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, 312000; College of Science and Technology, Ningbo University, Ningbo, Zhejiang, 315211);The Weighted Generalized Moore - Penrose Inverse over Rings[J];;2005-01
3 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
4 WANG Zhijian, LIU XiaojiDept. of Mathematics, University of Science and Technology of Suzhou, Suzhou Jiangshu 215009, China;The Generalized Moore-Penrose Inverse of Matrices Over Rings[J];Journal of Southwest China Normal University(Natural Science);2003-01
【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 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
3 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
4 Chen Yanping;On the Species Matrixs over Semirings[J];Journal of Fujian Commercial College;2007-02
5 CHEN Yan-ping1,2,TAN Yi-jia1(1.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China;2.Department of Basis Course,Fujian Commercial College,Fuzhou,Fujian 350012,China);On the generalized inverse of matrices over a semiring[J];Journal of Fuzhou University(Natural Science Edition);2007-06
6 LIU Xiao-ji(College of Computer and Information Science,Guangxi University of Nationaliteis,Nanning530006,China);On the Weighted Generalized Inverse of Matrices over Regular Rings[J];College Mathematics;2006-02
7 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
8 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
9 SONG Cai-qin,ZHAO Jian-li(School of Mathematics Science,Liaocheng University,Liaocheng 252059,China);Reverse Order Law for the Weighted Drazin Inverse of a Matrix Right Semi-tensor Product[J];Journal of Huaihai Institute of Technology(Natural Sciences Edition);2009-01
10 Zhuang Wajin(Department of Mathematics,Zhangzhou Normal University,Zhangzhou 363000,China);Professor Xie Bangjie's contribution to matrices over skew field and its development in China[J];Journal of Natural Science of Heilongjiang University;2007-05
【Secondary Citations】
Chinese Journal Full-text Database 8 Hits
1 Zhou Jianhua(Department of Mathematies and Mechanies,Southeast University,Nanjing 210018);On Generalized Moore-Penrose Inverses of Matrices over Rings[J];JOURNAL OF SOUTHEAST UNIVWRSITY;1995-01
2 Yin Youqi Cen Jianmiao (Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, 312000; College of Science and Technology, Ningbo University, Ningbo, Zhejiang, 315211);The Weighted Generalized Moore - Penrose Inverse over Rings[J];;2005-01
3 Zhuang Wajin (Nanping teachers college);GENERALIZED INVERSES OF MATRICES OVER A SKEW-FIELD[J];Journal of Mathematics;1986-01
4 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
5 WANG Zhi-jian, LIU Xiao-ji (Dept. of Math., Suzhou University of Science and Technology, Suzhou 215009, China);THE GENERALIZED MOORE-PENROSE INVERSE OF MATRICES OVER RINGS[J];Journal of Mathematics;2004-06
6 Liu Xiaoji )(Jiangxi Normal Unviersity,Nanchang 330027);THE GENERALIZED MOORE-PENROSEINVERSE OF MORPHISMS[J];JOURNAL OF MATHEMATICS;1998-03
7 LIU Xiao ji(Department of Mathematics, Suzhou Railway Teachers College, Suzhou 215009);On the Generalized Inverse of the Product of the Matrices over Rings[J];JOURNAL OF SUZHOU RAILWAY TEACHERS COLLEGE;2000-02
8 WANG Zhijian, LIU XiaojiDept. of Mathematics, University of Science and Technology of Suzhou, Suzhou Jiangshu 215009, China;The Generalized Moore-Penrose Inverse of Matrices Over Rings[J];Journal of Southwest China Normal University(Natural Science);2003-01
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