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《JOURNAL OF BEIJING NORMAL UNIVERSITY》 1996-01
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SOME PROPERTIES ON REAL POSITIVE DEFINITE MATRICES

Hu Yongjian;Chen Gongning (Department of Mathematics, Beijing Normal University,100875, Beijing,PRC)  
Some important poperties are given for the class of real positive definite matrices As applications,the authors generalize some famous determinant inepualities and improve certain known results on this class of matrices.The relation to several kinds of special matrices is studied.
【Fund】: 国家自然科学基金
【CateGory Index】: O151.21
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【References】
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【Co-citations】
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1 WANG Zhi-wei1,WANG Wei-xian2(1.College of Computer,Nanjing University of Posts & Telecommumications,21000 3,Nanjing,Jiangsu,China) 2.Taizhou Institute of SCI & TECH,NJUST,225300,Taizhou,Jiangsu,China);On the Determinant Inequalities of Complex Matrices[J];淮北煤炭师范学院学报(自然科学版);2010-01
2 LI Yan-xi (School of Mathematics and Information Science, Weifang University, Shandong 261061, China);The Isolation of Generalized Minkowski′s Inequality for Semi-metapositive Definite Matrix[J];数学的实践与认识;2009-10
3 WANG Rui-juan,XU Zhong,LU Quan(Department of Applied Mathematics,Northwestern Polytechnical University,Xi′an 710072,China);Study on further generalized positive definite matrices[J];纺织高校基础科学学报;2008-02
4 SONG Qian-kun(Faculty of Science, Huzhou Teachers College,Huzhou 313000,China);The Generalized Minkowski Inequalities of Determinant for Complex Positive Definite Matrix[J];湖州师范学院学报;2003-06
5 SONG Qian-kun (Dept. of Mathematics, Huzhou Teachers College, Huzhou 313000,China);Generalized Minkowski Inequalities of Determinant for Metapositive Definiteness Matrix[J];四川轻化工学院学报;2002-03
6 WANG Wei-xian(Dept. of Math., Yangzhou Education Institute, Yangzhou 225002);A REMARK ON THE GENERALIZED MINKOWSKI INEQUALITY[J];数学杂志;2002-01
7 LU Yun-xia;ZHANG Shu-qing(Dept. of Math., Yantai Teachers' University, 264025);A Note for “The Mistakes on 'Theory of Sub-Positive Definite Matrix'”[J];数学研究与评论;1999-03
8 Li Zhenzhu;A Minkowski Inequalitcs of Secondary Positive Definite Matrices in Complex Numbers Field[J];四川师范学院学报(自然科学版);1999-01
9 Li Yanxi Xin Yuzhong (Department of Mathematics,Changwei Teachers College,Weifang 261043);Several determinantal inequalities for metapositive semidefinite matrix[J];烟台师范学院学报(自然科学版);1998-02
10 Li Yanxi (Dept.of Math.) Jiang Xiaoyan (Weifang No.1 Secondary School);On Determinantal Inequalities of Metapositive Definite Matrix[J];昌潍师专学报;1998-02
【Co-references】
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1 WU Shi-jin1, YOU Xiao-qian2 (1.College of Science, Chongqing Technology and Business University, Chongqing 400067,China) (2College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065,China);THE FURTHER EXTENSIONS OF REAL POSITIVE DEFINITE MATRICES AND MINKOWSKI'S INEQUALITY[J];数学杂志;2006-02
2 YU Jiang-ming1, XIE Qing-ming2 (1. Dept. of Computer, Shaoguan University, Shaoguan 512005, China) (2. Dept. of Math., Xiangtan University, Xiangtan 411105, China);SOME PROPERTIES FOR SUB-SCHUR COMPLEMENT OF METAPOSITIVE DEFINITE SUB-HERMITE MATRICES[J];数学杂志;2006-02
3 YUAN Hui-ping (School of Sciences, Chongqing University of Technology and Business, Chongqing 400067, China);Determinantal inequality of generalized positive subdefinite matrices[J];吉林大学学报(理学版);2004-03
4 YANG Zhong-peng, YE Li-ying (1. Department of Mathematics, Putian College, Putian 351100, China; 2. Basic Courses Department, Jimei University, Xiamen 361021, China);Generalization of Oppenheim's Theorem[J];集美大学学报(自然科学版);2003-03
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7 YANG Zhong-peng1, WENG Dong-dong2 (1. Department of Mathematics, Putian University, Putian, Fujian 351100, China; 2. Department of Mathematics, Quanzhou Teacher College, Quanzhou, Fujian 362000, China);An unsolved problem on HF-matrix[J];福州大学学报(自然科学版);2003-01
8 YUAN Huiping(School of Sciences, Chongqing Technology and Business University,Chongqing 400067, China);Several Inequalities on Determinants of Complex Positively Definite Matrices[J];华东理工大学学报;2003-01
9 YUAN Hui-ping(Dept.of Math.,Yuzhou Univ ersity,Chongqing,400033);ON COMPLEX METAPOSITIVE SUB-DEFINITE MATRICES[J];数学杂志;2002-04
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【Secondary References】
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1 YONG Xinlei;HAN Yifan;LI Xiaoyu;TAO Yuanhong;Department of Mathematics,College of Science,Yanbian University;;A new proof for inequality of a positive definite Hermitian matrix[J];延边大学学报(自然科学版);2017-03
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3 YUAN Hui-ping(Chongqing Key Laboratory of Electronic Commerce & Supply Chain System,College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China);Polar Factorization and Generalized Inverse for Row(Column) Skew Symmetric Matrix[J];吉林大学学报(理学版);2013-01
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