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《Journal of Hefei University of Technology(Natural Science)》 2006-06
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A fast algorithm for the Moore-Penrose inverse of an Loewner matrix

TONG Qiu-juan 1,2,LU Quan2,CHAI Jun-feng1(1.Dept.of Applied Mathematics and Physics,Xi'an University of Post and Telecommunications,Xi'an 710061,China;2.School of Natural and Applied Sciences, Northwestern Polytechnical University,Xi'an 710072,China)  
In this paper,a fast algorithm for the Moore-Penrose inverse of an Loewner matrix with full column rank is given.The algorithm requires O(mn)+O(n2)operations.
【Fund】: 陕西省自然科学基金资助项目(2004CS110002)
【CateGory Index】: O241.6
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG Fang,JIANG Wei (School of Mathematics and Computational Science,Anhui University,Hefei 230039,China);The solution of degenerate differential equations with delay[J];Journal of Anhui University(Natural Sciences);2005-02
2 CHAI Jun-feng,TONG Qiu-juan (Department of Applied Mathematics and Physics,Xi'an University of Post and Telecommunications,Xi'an 710061,China);A fast algorithm for the Moore-Penrose inverse of symmetric Loewner matrix[J];Journal of Anhui University(Natural Sciences Edition);2010-01
3 DING Jie(Dept. of Math., Southeast University, Nanjing 210096, China);A new relative efficiency in linear model and its property[J];JOURNAL OF ANHUI INSTITUTE OF MECHANICAL AND ELECTRICAL ENGINEERING;2002-04
4 TAN Wei qi (Anqing Branch Anhui RTV University,Anqing,246001,China);Nought factor in ring of total matrix of N-Step[J];JOURNAL OF ANQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);2000-03
5 WEN Wei(Maoming Vocational & Technical College,Maoming 525011,China);Perturbation Bounds for Semi-positive Definite Polar Factor of M-P Inverse under Additive Noise[J];Journal of Changchun Normal University(Natural Sciences);2009-02
6 ZHANG Guang(Business and Information College,Chongqing Institute of Technology,Chongqing 400050,China);g-inverse in Weak Inverse[J];Journal of Chongqing Institute of Technology;2005-11
7 WU Jie,MIAO Hengyan;Ill-posed Matrix and Partial Biased Estimation Method in Measurement Data Processing[J];Bulletin of Surveying and Mapping;2010-09
8 Huang Jingping (Dept.of Mathematics,Liuzhou Teachers College,Liuzhou,545003);The Drazin Inverse of a Centrosymmetric Matrix[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1999-01
9 DAI Juan(Dept.of Basic Courses,Changzhou College of Information Technology,Changzhou 213164,China);The Matrix Method of Solving System of Linear Congruence Equations[J];Journal of Changzhou Vocational College of Information Technology;2006-03
10 ZHOU Shuo 1,GUO Li jie 2,ZHAO Li hua 1 (1.Department of Basic Science Courses,Northeast China Institute of Electric Power Engineering,Jilin City 13201;2.Jilin City Professional college of Industry and Comercial,Jilin City,132012);Solution of Exchangeable Matrix space of Square Matrix and The Exchange[J];Journal of Northeast China Institute of Electric Power Engineering;2000-04
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