Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Surveying and Mapping of Geology and Mineral Resources》 2003-02
Add to Favorite Get Latest Update

A Study on Variance of L-1 Norm Solution by Using Monte Carlo Approach

WNAG Chaohui (Centre of Modern Education Technique, Central South University, Changsha, Hunan 430074, China)  
L-1 norm solution has good robustness. Its disadvantages are that its solution is not unique and it is difficult to understand its statistic properties. This paper shows un-unique solution problem of L-1 norm by using a very simple example at first, and then studies the statistic properties of solutions. Results show that the variances of different L-1 norm solutions are different. The variance of solution from linear programming method is largest. The variance of solution from weighted iteration method is smallest. Therefore, it is suggested that weighted iteration method should be used to find L-1 norm solution.
【CateGory Index】: P207
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 1 Hits
1 Zhu Jianjun(Central-South Technical University);THE UNIFICATION OF DIFFERENT CRITERIAOF ESTIMATION IN ADJUSTMENT[J];Acta Geodaetica Et Cartographic Sinica;1986-04
Chinese Journal Full-text Database 10 Hits
1 Ou Shouzhu;Chen Jianmin Department of Machinery Manufacturing;Optimal Design of Insulating Riser for Steel Castings[J];;1987-04
2 Pang Baozhu Departmeut of Electrical Engineering;THE OPTIMAL METHOD AND THE PROGRAM DESIGN OF FEED FORMULA[J];;1990-04
3 Zhang Xiaoming Li Tingxun (Anhui Institute of Architecture) (Hefei Polytecnic University);THE RELIABLE DEGREE′ S STUDY OF THE SEARCH EAGE NET OF ENGINEERING[J];JOURNAL OF ANHUI INSTITUTE OF ARCHITECTURE;1997-03
4 Du Puxuan;Liu Shuxian;Ma Hongjie(Department of Communiction and Control Engineering,Northern Jiaotong Univeristy,Beijing 100044);The Optimum Design of Anti-Interference Adapter[J];JOURNAL OF NORTHERN JIAOTONG UNIVERSITY;1994-02
5 Xia Lingmin ;;Zhang Jirui;; Fu Jiquan(Department of Fine Chemicals, Beijing Institute of Clothing Technology, Beijing 100029);Study on the Vapor-Liquid Phase Equilibria of Benzene-Cumene,Benzene-Diisopropylbenzene and Cumene-Diisopropylbenzene by Sequential Experimental Design[J];JOURNAL OF BEIJING INSTITUTE OF CLOTHING;1997-01
6 Liu yi (Jilin Railway University for Workers and Staff Members, Jilin City);A Recursive Algorithm to Evaluate the Extreme Value of Convex Quadratic Function[J];;1999-03
7 Fu Guangyu;Li Xiaoyang;Zeng Yanjun(Department of Basic Science,Beijing Polytechnic University,100022);The Determination of the Constitutive Equation of Arteries in Zero Stress State Using the Least Square Fit[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;1996-01
8 Huang Jun Wu Zhe Zhu Rongchang (Beijing University of Aeronautics and Astronautics,Dept. of Flight Vehicle Design and Applied Mechanics);Optimized Collocation of Combat Aircraft Weapon Systems for Air Force[J];JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS;1999-05
9 Liu Tiebiao;Wang Rishuang(Beijing University of Aeronautics and Astronautics,Dept. of Applied Mathematics and Physics);A ALGORITHM FOR SOLVING THE GLOBAL OPTIMIZATION OF NONLINEAR PROGRAMMING[J];JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS;1994-03
10 Wang fin Su Pengxi;Simulation of Three Dimensional Metal Deformation in Caliber Rolling[J];Journal of University of Science and Technology Beijing;1990-01
China Proceedings of conference Full-text Database 3 Hits
1 Zhi Xizhe Mong gao Xu Songping (Northnestem Poly Technical University);The Conjugate Gradient Method in Optimum Design of Multistage Nonvibration system[A];[C];1996
3 Wang fu-lin Wu chang-you Wang ji-quan Li zhong-cai (Northeast Agricultural University, Harbin, Heilongjiang, 150030, PRC);A New Optimization Method——The Optimization-Multi-Point Parallel Optimization Method[A];Chinese Society of Agricultural Engineering[C];2005
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved