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《Journal of Southwest China Normal University(Natural Science Edition)》 2006-06
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Estimation of the Largest(least) Eigenvalue of Hermite Matrix

DAN QiDept.of Fundamental Studies,Logistical Engineering University,Chongqing 400016,China  
This paper presents a method that estimates the largest(least) eighnvalue of Hermite matrix by using norm of the matrix…-‖-A+αE‖_m+α≤λ_i(A)≤‖A+αE‖_m-α.
【CateGory Index】: O151.21
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【References】
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1 CHEN Jing-weiLaboratory for Automated Reasoning and Programming,Chengdu Institute of Computer Applications, Chinese Academy of Sciences,Chengdu Sichuan 610041,China;The Distribution of Eigenvalues of a Matrix[J];Journal of Southwest University(Natural Science Edition);2007-11
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【Co-citations】
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1 WANG Dao-hua(Chaohu Branch,Anhui TV University,Chaohu 238000,China);Optimal Mean-Variance Portfolio of Adventure-Efficient Model[J];Journal of Anhui Radio & TV University;2006-03
2 CUI Bo-wen 1,2,CHEN Jian1,CHEN Xin-zhao1,REN Zhang3 (1.School of Mechanical and Automobile Engineering,Hefei University of Technology,Hefei 230009,China; 2.School of Mechanical Engineering,Jimei University, Xiamen 361021,China; 3.School of Automation Science and Electrical Engineering,Beihang University,Beijing 100083,China);Least square method for complex estimation[J];Journal of Anhui University(Natural Sciences);2005-03
3 YUAN Hui-ping (College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China);QR factorization of row(column) antisymmetric matrices[J];Journal of Anhui University(Natural Sciences);2008-02
4 BAO Cui-lian (Anqing Vocational Technical College, Anqing 246003, China);The Investigation on the Limit of Direct Consumption Coefficient Matrix in the Macroeconomic Model[J];Journal of Anqing Teachers College(Natural Science Edition);2004-03
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7 YANG Jun (Department of mathematics,Linyi Teachers University,Linyi Shandong 276005,China) ZHUANG Wei xin (Department of mathematics,Linyi TV University,Linyi Shandong 276005,China);Sdiagonalization of matrices and Characteristic Polynomial[J];Journal of Anshan Teachers College;2001-03
8 ZUO Weibing,CHENG Yanyan(Information Engineering Department of North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450008, China);Solution of Matrix Equation A_(m×n)X_(n×s)=B_(m×s) with Some Applications[J];Journal of Anyang Teachers College;2003-05
9 GUO Lin-bing(School of Information and Mathematics,Yangtze University,Jingzhou 434023,China);Improvement Schur Inequality and Its Application[J];Journal of Baoding Teachers College;2007-04
10 HAN Li~1,WU Xiang-chun~1,YU Bao-guo~2,LUO Wei-xiong~1(1.Department of Electronic Engineering,School of Information Science and Technology,Beijing Institute of Technology,Beijing 100081,China;2.China Electronics Technology Group Corporation No.54th Research Institute,Shijiazhuang,Hebei 050081,China);Spatial Correlation in Rayleigh Channels and Its Effect on the Performance of Space-Time Codes[J];Transactions of Beijing Institute of Technology;2006-03
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1 Wang Bo (School of Information Engineering,Beijing University of Posts and Telecommunications,100876);A Real-value DOA Estimation Algorithm[A];[C];2008
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【Co-references】
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1 DAI Ying-chao (School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China);THE ESTIMATIONS FOR REAL EIGENVALUES AND SINGULAR VALUES[J];Journal of South China Normal University(Natural Science);2005-04
2 CHANG Shuang-ling1,ZHANG Chuan-lin2 1.Beijing WUZI University,Beijing 101149,China;2.Department of Mathematics,Jinan University,Guangzhou 510632,China;Determine Conditoning of Tridiagonal Toeplitz Matrices[J];Journal of Southwest University(Natural Science Edition);2007-03
3 CHEN Jing-weiLaboratory for Automated Reasoning and Programming,Chengdu Institute of Computer Applications, Chinese Academy of Sciences,Chengdu Sichuan 610041,China;The Distribution of Eigenvalues of a Matrix[J];Journal of Southwest University(Natural Science Edition);2007-11
4 GU YIXI(Institute of Mathematical Sciences Chengdu Branch The Chinese Academy of Sciences. Chengdu 610041);THE DISTRIBUTION OF EIGENVALUES OF A MATRIX[J];ACTA MATHEMATICAE APPLICATAE SINICA;1994-04
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 HU Xing-kai1,ZOU Li-min2 1.College of Mathematics and Physics,Chongqing University,Chongqing 400030,China;2.College of Mathematics and Computer Science,Chongqing Three Gorges University,Wanzhou Chongqing 404000,China;Estimation for The Eigenvalues and Singular Values of Matrices[J];Journal of Southwest China Normal University(Natural Science Edition);2009-03
2 GUO Wei, WANG Wen-hui, LI Qing-yuCollege of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China;Orthogonal Diagonal Decomposition and Moore-Penrose Inverses of o-Symmetrix Matrix[J];Journal of Southwest China Normal University(Natural Science Edition);2009-05
3 YANG Xian-puCollege of Mathematics and Computer Science,Chongqing Three Gorges University,Wanzhou Chongqing 404000,China;The Thinking Method of "Breaking up the Whole into Parts and Gathering Parts into the Whole" in Linear Algebra[J];Journal of Southwest China Normal University(Natural Science Edition);2009-05
4 HU Xing-kai1, ZOU Li-min21. College of Mathematics and Physics,Chongqing University,Chongqing 400030,China;2. College of Mathematics and Computer Science,Chongqing Three Gorges University,Wanzhou Chongqing 404000,China;Estimation for the Rank and Eigenvalues of Matrices[J];Journal of Southwest University(Natural Science Edition);2009-12
5 RAN Yan-li College of Mathematics and Physics,Chongqing University,Chongqing 400030,China;A New Bound Estimation for Numerical Characteristics of Matrices[J];Journal of Southwest University(Natural Science Edition);2010-04
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