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《Journal of Beijing Normal University(Natural Science)》 2006-05
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GENERALIZED INVERSES OF INCLINE MATRICES (Ⅰ)

Gu Minqiang Li Hongxing (School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China)  
The generalized inverses of an incline matrix are studied.Some equivalent conditions for an incline matrix to have generalized{1,3}inverse,generalized{1,4}-inverse and generalized Moore-Penrose inverse are given.Also,the necessary and sufficient conditions for an incline matrix to have the generalized Moore-Penrose inverse,equal to its transpose,are presented.
【Fund】: 国家自然科学基金资助项目(60474023);; 教育部博士点基金资助项目(20020027013);; 教育部科学技术重点项目(03184);; 国家“九七三”重大基础研究规划基金资助项目(2002CB312200)
【CateGory Index】: O151.21
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【References】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Guo-yong (Department of Base,College of Fujian Communication Technology,Fuzhou,Fujian 350007,China);The conditions of the existence of M-P inverse of matrices over distributive pseudolattices[J];Journal of Fuzhou University(Natural Science Edition);2009-05
2 Zhang Guoyong(Department of Base,Fujian Communication Technology College,Fuzhou 350007,China);The {1,2}-Inverse of Matrices over Distributive Pseudolattices[J];Journal of Taiyuan Normal University(Natural Science Edition);2009-01
3 Zhang Guoyong(Department of Base,Fujian Communication Technology College,Fuzhou 350007,China);The Properties of M-P Inverse of Matrices over Distributive Pseudolattices[J];Journal of Taiyuan Normal University(Natural Science Edition);2009-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 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
4 ZHANG Guo-yong (Department of Base,Fujian Communication Technology College, Fuzhou,Fujian 350007,China);Invertible matrices over distributive pseudolattices and its properties[J];Journal of Fuzhou University(Natural Science Edition);2008-01
5 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
6 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
7 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
8 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
9 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
10 WANG Jun,CHEN An-jun,ZHANG Hong-tao(School of Mechanical Engineering,Southern Yangtze University,Wuxi 214122,China);Joint trajectory planning of dual armed robot based on the velocity directional manipulability measures[J];Machinery Design & Manufacture;2007-01
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 Zhang Guoyong(Department of Base,Fujian Communication Technology College,Fuzhou 350007,China);The Properties of M-P Inverse of Matrices over Distributive Pseudolattices[J];Journal of Taiyuan Normal University(Natural Science Edition);2009-02
2 Zhang Guoyong(Department of Base,Fujian Communication Technology College,Fuzhou 350007,China);The Conditions of Unique Solution for Matrix Equations over Distributive Pseudolattices[J];Journal of Taiyuan Normal University(Natural Science Edition);2009-04
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