Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《》 2005-01
Add to Favorite Get Latest Update

The Weighted Generalized Moore - Penrose Inverse over Rings

Yin Youqi Cen Jianmiao (Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, 312000; College of Science and Technology, Ningbo University, Ningbo, Zhejiang, 315211)  
This paper studies the weighted generalized inverse with respect to M and N, and gives the necessary and sufficient conditions for the existence of the weighted generalized inverses with respect to M and N with some decomposable matrices. When both M and N are unital matrix, the weighted generalized Moore - Penrose inverse is just the ordinary Moore - Penrose inverse. To some extent, the weighted Moore - Penrose inverse with respect to M and N is a generalization of the generalized Moore - Penrose inverse with respect to M and N. Thus our results in this paper can be regarded as generalizations of the corresponding results for ordinary Moore - Penrose inverses and the generalized Moore - Penrose inverses with respect to M and N.
【CateGory Index】: O151.21
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 2 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
【Citations】
Chinese Journal Full-text Database 3 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 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
3 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 Yang Zhongpeng(Department of Mathematics);Solutions of Consistent Right Linear Equations over the Quaternion Field[J];;1996-02
2 Yang Zhongpeng(Departinent of Mathematics);Gin-Verse of Matrix Direct Sum of Arbitrary Division Ring[J];;1997-01
3 Xue Jinyun (Dept. of Computer);A Linear Algorithm for the Cyclic Permutation to the N and Its Formal Derivation[J];Journal of Jiangxi Normal University(Natural Sciences Edition);1991-01
4 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
5 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
6 Liu Xiaoji(Department of Mathematics,Jiangxi Normal University,Nanchang 330027);Generalized Inverse with Factorization for Matries over Division Rings[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1996-02
7 BAI Yan (Chang Chun University of Science And Technology, JiLin Chang Chun 130026,China);The Heredity And the Speciatity of Quasi nil Radical Rings[J];JOURNAL OF CHANGCHUN TEACHERS COLLEGE;1999-05
8 Zhuang Wajin Nanping teachers college;Problem on Complete to Invertible Matrix of Matrix over an Arbitrary Skew Field[J];Pure and Applied Mathematics;1990-01
9 WANG Jia de (Zhengzhou Electric Power College, Zhengzhou 450004, China);Theoretical frame of Fuzzy Ω algebra[J];PURE AND APPLIED MATHEMATICS;1999-03
10 Yang Zhimin (Handan Teachers College, Handan, 056004);THE NEW COMPONENT OF GREY MATHEMATICS —— GREY GROUP[J];PURE AND APPLIED MATHEMATICS;1998-02
【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 CHEN Jian-long Department of Mathematics, Southeast University, Nanjing, 210096 WEI Yi-min Department of Mathematics, Fudan University, Shanghai, 200433;On Characterizations of Drazin Inverse[J];东北数学(英文版);2006-01
5 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
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 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 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
9 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
10 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
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 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
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Zhuang Wajin (Nanping teachers college);GENERALIZED INVERSES OF MATRICES OVER A SKEW-FIELD[J];Journal of Mathematics;1986-01
2 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
3 Liu Xiaoji )(Jiangxi Normal Unviersity,Nanchang 330027);THE GENERALIZED MOORE-PENROSEINVERSE OF MORPHISMS[J];JOURNAL OF MATHEMATICS;1998-03
4 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
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved