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《Journal of Southwest University(Natural Science Edition)》 2009-07
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A New Iterative Algorithm for Linear Equation

CHANG Shuang-lingBeijing Wuzi University,Beijing 101149,China  
Using the sum of the elements of the principal diagonal of the coefficient matrix A,a new iterative scheme,i.e.xk+1=I-2a11+…+annAxk+2a11+…+annb,is constructed for the linear equation Ax=b,of which the coefficient is a symmetric positive definite matrix.Further improvement is made of the scheme.
【Fund】: 北京物资学院科研创新基地资助项目(WYJD200902)
【CateGory Index】: O241.6
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【Citations】
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1 CHANG Shuang-ling, ZHANG Chuan-lin (Dept. of Mathematics, Jinan University, Guangzhou 510632, China);A new iterative algorithm for linear equation[J];Journal of Jinan University(Natural Science & Medicine Edition);2004-03
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1 LU Fei-long,HE Xi-qin(School of Science,University of Science and Technology Liaoning,Anshan 114051,China);M-matrix and its inverse lower bound for eigenvalue of Hadamard product[J];Journal of University of Science and Technology Liaoning;2010-05
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4 Chen Jikai Li Haoyu Yang Shiyan Kou Baoquan (Harbin Institute of Technology Harbin 150001 China);Application of Wavelet Packet Singularity Entropy and PSD in Power Harmonics Detection[J];Transactions of China Electrotechnical Society;2010-08
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9 ZENG Yue,YUAN Si-ji(School of Electronic Science and Engineering,National University of Denfense Technology,Changsha 410073,China);Analysis and Comparison of State-spacemodel(SSM) Algorithm and Matrix Pencil(MP) Algorithm[J];Computer Knowledge and Technology;2009-36
10 LIU Kai1,CHEN Hong-kun1,XIANG Tie-yuan1,GAO Zhi-xin2(1.School of Electrical Engineering,Wuhan University,Wuhan 430072,Hubei Province,China;2.Central Southern Electric Power Design Institute,Wuhan 430072,Hubei Province,China);Inexact Newton Flow Computation Based on Hermitian and Skew-Hermitian Splitting Preconditioners GMRES(m)[J];Power System Technology;2009-19
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1 Liu Mingqiang,Wei wei,Zhu Lizheng(Research Institute of Electronic Science and Technology,University of Electronic science and Technology of China,Chengdu 611731,China);Research for improving transmitting efficiency of LTCC vertical transition[A];[C];2010
2 Lu Li-guo1,Liu Wan-ke1,Yu Xing-wang2 School of Geodesy and Geomatics, Wuhan University, No. 129 , Luoyu Road, Wuhan 430079, China 2.Space Research Center, RMIT University,Melbourne 3001 VIC,Australia;A New Reduction Method for Ambiguity Resolution Based on Cross Sorting Algorithm[A];[C];2014
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