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《JOURNAL OF SUZHOU RAILWAY TEACHERS COLLEGE》 2000-02
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On the Generalized Inverse of the Product of the Matrices over Rings

LIU Xiao ji(Department of Mathematics, Suzhou Railway Teachers College, Suzhou 215009)  
The generalized inverse of the product of matrices is studied, the necessary and sufficient conditions for its existence are obtained. The characterization of the generalized inverse is given and the results in [1] are extended.
【CateGory Index】: O153.1
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【References】
Chinese Journal Full-text Database 1 Hits
1 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 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
6 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
7 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
8 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
9 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
10 Wei Lijuan (Department of Mathematics,Yueyang Techers' College,Hunan Yueyang,414000) Chen Huanyin (Department of Mathematics,Hunan Normal University,Hunan Changsha,410081);On Generalized Inverse of a Class of Rings[J];JOURNAL OF NATURNAL SCIENCE OF HUNAN NORMAL UNIVERSITY;1999-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Gu Minqiang Li Hongxing (School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China);GENERALIZED INVERSES OF INCLINE MATRICES (Ⅰ)[J];Journal of Beijing Normal University(Natural Science);2006-05
2 ZHENG Cheng-jun~1,LU Yu-ping~1,CHEN Feng~2(1.College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;2.Navy Troop 92419 of PLA,Xingcheng 125106,China);Application of pseudoinverse matrix in flush airdata sensing system[J];Transducer and Microsystem Technologies;2006-05
3 TAO Ben zao (Wuhan Technical University of Surveying and Mapping, Wuhan 430079, China);Generalized Matrix Inverses and Adjustment of Observations[J];Engineering of Surveying and Mapping;2000-04
4 SUN Jin-wei,LIU Xin,SUN Sheng-he (Dept of Automatic Measurement and Control,Harbin Institute of Technology,Harbin,Heilongjiang 150001,China);TLS Algorithm-Based Study on Multi-Functional Sensor Data Reconstruction[J];Acta Electronica Sinica;2004-03
5 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
6 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
7 MING Ping-hua (Department of computer, Xianning College, Xianning 437005, Hubei, China);A generalized inverse of non-zero matrix on Soft Algebra [0,1][J];Journal of Huanggang Normal University;2004-03
8 Wei Lijuan (Department of Mathematics,Yueyang Techers' College,Hunan Yueyang,414000) Chen Huanyin (Department of Mathematics,Hunan Normal University,Hunan Changsha,410081);On Generalized Inverse of a Class of Rings[J];JOURNAL OF NATURNAL SCIENCE OF HUNAN NORMAL UNIVERSITY;1999-02
9 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
10 CHEN Hua-wei1, NIAN Xiao-ling2, JIN Fan1(1. School of Information Science & Technology, Southwest Jiaotong University, Sichuan Chengdu 610031, China;2. Centre of Information Management, Ping An Insurance(Group) Company of China Ltd, Shanghai 200040, China);Feedforward neural network learning algorithm based on bi-phases weights' adjusting[J];Journal of Computer Applications;2006-05
【Secondary References】
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 CHEN Jianguo,CEN Jianmiao(Faculty of Science,Ningbo University,315211 Ningbo,China);The Г_(αβ)-Moore-Penrose Inverse of Matrices over Rings[J];Bulletin of Science and Technology;2009-06
3 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
4 XIE Zhong-zhou,LIU Xiao-ji(College of Mathmatics and Computer Science,Guangxi University Nationalities,Nanning 530006,Guangxi);General Solution to a System of Quaternion Matrix Equations[J];Journal of Sichuan Normal University(Natural Science);2009-04
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Zhuang Wajin (Nanping teachers college);GENERALIZED INVERSES OF MATRICES OVER A SKEW-FIELD[J];Journal of Mathematics;1986-01
2 Chen Yong-Iin (Nanjing Teachers'College);ON THE WEIGHTED PROJECTOR AND WEIGHTED GENERALIZED INVERSE MATRICES[J];Acta Mathematicae Applicatae Sinica;1983-03
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