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《JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION)》 1997-01
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Some Properties of Hadamard Products Involving the Sign Matrix and Their Applications

Ding Shuliang (Department of Computer,Jiangxi Normal University,Nanchang 330027)  
In this paper,the sign matrix and some of its properties (such as eigenvalues,rank,trace,determinant of the product matrix of the sign matrix and some matrix) are introduced.Some of these results are employed to analyse the trace inequality given by Li Hongxi and Leng Gangsong.And a series of inequalites is derived.These results are applied to estimate the boundary of the trace of the difference between the variance matrices of GCIE and CIE in SURS when m=2 and ∑0 is know.
【Fund】: 江西省自然科学基金
【CateGory Index】: O151.21
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zhou Jinyuan ( Wuhan Institute of Physics, Academia Sinica);THEORETICAL STUDIES OF DEPT SPECTRA OF CDn SYSTEMS[J];Chinese Journal of Magnetic Resonance;1989-03
2 YANG Zhong-peng1,CAI Hua2 (1.Mathematics & Applied Mathematics Department,Putian University,Putian 351100,China; 2.Jilin Railway Economics and Transportation School of Jilin,Jilin 132001,China);A Note on the Paper On the Relationship of Elementary Transformations and the Decompositions of Invertible Matrix[J];Journal of Putian University;2006-02
3 WANG Lin 1,ZHU Yong-e 2 (1.Mathematics Department, Zhengzhou University,Zhengzhou 450000, China; 2.Basic Department,Pingyuan University,Xinxiang 4 53003, China);An Inequality For Semipositive Definite Hermite's Matrices[J];Journal of Pingyuan University;2003-02
4 Sun Zhi-he~(1),Dou Zai-xiang~(2)(1.School of Science,Qingdao Technological University,Qingdao 266033;2.Qingdao Branch,Naval Engineering Academy Qingdao 266041);Matrix Denotation of Characteristic Polynomial Coefficient[J];Journal of Qingdao Technological University;2006-03
5 Zhao Shunren (Department of Basic Courses' QIAE);Popularization of an Expected Mathematic Value[J];JOURNAL OF QINGDAO INSTITUTE OF ARCHITECTURE AND ENGINEERING;1997-04
6 Hao Zhichuan;Generalizafion & Refinement of Hadamard inequality[J];Journal of Southeast Guizhou National Teacher's College;1997-S1
7 Wang Suzhou Departvnent of Deneral Education Courses Jiangsu Vocational and Techical College of Finance & Economics Jiangsu Huaian 223001;Inverting Matrices of Some Block Matrices[J];Journal of Qingyuan Polytechnic;2009-03
8 WANG Zhi-wu(college of Information Science and Engineering,Shandong Agricultural University,Taian 271018,Shangdong,China);A NECESSARY AND SUFFICIENT CONDITION OF DIAGONALIZATION FOR SQUARE MATRIX[J];Journal of Shandong Agricultural University(Natural Science Edition);2008-04
9 Guo Shiguang(Dept.of Basic Courses);INNER PRODUCTS,VECTOR PRODUCTS AND U-ALGEBRAS[J];JOURNAL OF SICHUAN INSTITUTE OF LIGHT INDUSTRY AND CHEMICAL TECHNOLOGY;1994-01
10 Wang ziquan (Department of Computer Sichuan Three Gorgesinstitute Chongqing Wanxian 404000);NOTES ABOUT A CLASS OF LINEAR SPACE ON FINITE FIELD[J];JOURNAL OF SICHUAN THREE-GORGES UNIVERSITY;1999-01
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 LIU AIYI;WANG SONGGUI University of Science and Technology of China;THE BIASED ESTIMATORS OF THE PARAMETERS IN THE TWO SEEMINGLY UNRELATED REGRESSION SYSTEM[J];Chinese Journal of Applied Probability and Statistics;1991-03
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【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 Zhang shulin(Xuzhou Vocational Technology Academy of Finace & Economics 221008);Discuss some property of bilinear function[J];Science and Technology Innovation Herald;2013-12
【Secondary Citations】
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1 CHEN CHANGHUA (University of Science and Technology of China);OPTIMALITY OF TWO-STAGE ESTIMATORS OF SEEMINGLY UNRELATED REGRESSION EQUATIONS[J];Chinese Journal of Applied Probability and Statistics;1986-02
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