Full-Text Search：
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Southwest China Normal University(Natural Science)》 2003-01
Add to Favorite Get Latest Update

Sub-Congruence and Sub-Diagonalization of Sub-Hermite Matrices

YU Jiangming1,XIE Qingming21Dept. of Computer, Shaoguan University, Shaoguan Guangdong 512005, China;2Dept. of Mathematics, Xiangtan University, Xiangtan Hunan 411105, China  
The concept of subcongruence of matrix is put out, and some properties of subHermite and simultaneous subdiagonalization of two subHermite matrices by subcongruence transformation are discussed. In addition, several results, such as subspectral factorization theorem, law of subinertia, factorization theorem of subHermite matrix of real similarity diagonalizable matrices, etc. are given.
【Fund】： 湖南省教育厅科研基金资助(00C065).
【CateGory Index】： O151.21
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 3 Hits
1 YUAN Hui-ping (School of Sciences,Chongqing Technology and Business University Nanan Chongqing 400067);Generalized Positive Subdefinite Matrices[J];Journal of University of Electronic Science and Technology of China;2007-S1
2 YUAN Hui-ping (School of Sciences, Chongqing University of Technology and Business, Chongqing 400067, China);Determinantal inequality of generalized positive subdefinite matrices[J];Journal of Jilin University (Science Edition);2004-03
3 LIU Yu,ZHENG Xian-wei(Department of Mathematics and Information Technology,Hanshan Normal university,Chaozhou 521041,China);K-sub-Hermite Matrix and Its Properties[J];Jilin Normal University Journal(Natural Science Edition);2010-02
【Citations】
Chinese Journal Full-text Database 6 Hits
1 YUAN Hui- ping (Dept.of Mathematics,Yuzhou University,Chongqing 40 0 0 33,China);Metapositive Definite Sub- Hermite Matrix[J];JOURNAL OF SHANXI UNIVERSITY (NATURAL SCIENCE EDITION);2000-02
2 YUAN Hui ping (Dept.of Math.,Yuzhou University, Chongqing 400033);METAPOSITIVE SUBDEFINITE MATRIX[J];Journal of Mathematics;2001-01
3 Qin Zhao-hua;ON THE SUB-SYMMETRIC AND THE SUB-SKEW SYMMETRIC MATRICES[J];;1985-01
4 Yuan Huiping(Dept. of Mathemaics,Yuzhou University, Chongqing 40003);The sub-orthogonal matrix and the sub-symmetric matrix[J];JOURNALOF SOUTHWEST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE);1998-02
5 Cao lili (Chongqing Institute of Commerce, Chongqing 630067);The metapositive definiteness of sub-Hermite matrix[J];JOURNALOF SOUTHWEST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE);1996-03
6 Qin Zhaohua(Dept,of Mathematics,Yuzhou Univ,Chongqing,630033);The Subtranspose of a Matrix and the Metapositive Definiteness of a Sub-symmetric Matrix[J];JOURAL OF YUZHOU UNIVERSITY(NATURAL SCIENCES EDITION);1994-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YUAN Hui-ping,LI Qing-yu(Department of Science College,Chongqing Technology and Business University,Chongqing 400067,China);On the metapositive definite of real normal matrices[J];Journal of Anhui University(Natural Sciences);2006-06
2 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
3 LIU Zhen-yu(Mathematics and Information Science Department,Zaozhuang University,Zaozhuang 277160,China);Real Metapositive Symmetric Matrix Equation[J];Journal of Binzhou University;2007-06
4 YUAN Hui ping (Department of Mathematics,Yuzhou University, Chongqing 400033);The almost positive subdefinite matrix[J];Pure and Applied Mathematics;2001-01
5 YUAN Hui ping,XIA Li (Department of Mathematics,Chongqing University of Technology and Commerce,Chongqing,400033,China);Determinantal inequality of generalized positive definite matrices[J];Pure and Applied Mathematics;2002-02
6 ZHAN Shi-lin(Department of Mathematics, Hanshan Teachers College, Caozhou Guangdong 521041,China);Some determining on metapositive subdefirite matrix[J];Pure and Applied Mathematics;2003-02
7 QIN Jian-guo,TAN Rui-mei,HE Hong-ya(Department of Information and Computational Science,Zhengzhou Institue of Light Industry,Zhengzhou 450002,China);Connections of matrices A,B with AB[J];Pure and Applied Mathematics;2006-03
8 曹莉莉;The Generalization of Rolle's Theorem and the Proofs of Cauchy's Intermediate Value Theorem[J];;1995-03
9 Wang\ Wenhui (Department of Basic Subjects,Chongqing Institure of Commerce,400067);Proposition Concerned with the Sub transposed Matrix[J];JOURNAL OF CHONGQING JIAOTONG INSTITUTE;1998-03
10 SONG Qian kun (Dept. of Mathematics,Zigong Teachers College,Zigong Sichuan,643000,China);A Solution of the Inverse Problem of Ax=b in the Class of the Quasi-Metapositive Definite Matrices[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);2000-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Hu Yongjian;Chen Gongning (Department of Mathematics, Beijing Normal University,100875, Beijing,PRC);SOME PROPERTIES ON REAL POSITIVE DEFINITE MATRICES[J];JOURNAL OF BEIJING NORMAL UNIVERSITY;1996-01
2 YUAN Hui ping (Department of Mathematics,Yuzhou University, Chongqing 400033);The almost positive subdefinite matrix[J];Pure and Applied Mathematics;2001-01
3 DU Juan,LI Xue-qin,FAN Xiao-tao College of Information Management,Chengdu University of Technology,Chengdu 610059,China;The character of double Hermite matrix[J];Journal of Chengdu University of Technology(Science & Technology Edition);2009-04
4 Song Qiankun (Dept.of Mathematics,Zigong Teachers College,Zigong,643000);On the Inequalities for the Trace of Hermite Matrix or Skew Hermite Matrix Product[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1997-01
5 YUAN Hui ping (Department of Marthematics, Yuzhou University, Chongqing 400033, China);The sub-unitary matrix and the sub-mirror-image matrix[J];Journal of Northeast Normal University (Natural Science Edition);2001-01
6 HUANG Hui-ling,TAN Yi-jia(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China);Automorphisms of matrix algebras over commutative semirings[J];Journal of Fuzhou University(Natural Science Edition);2006-01
7 YU Xin-liang(Yueyang Vocational & Technical College,Yueyang 414000,China);The Characters of Idempotent-Hermite Matrix[J];Journal of Hunan Institute of Engineering(Natural Science Edition);2008-02
8 You Zhaoyong Yuan Chaowei Yang Shangjun(Xi'an Jiaotong University) (Anhui University);Relations Between Scrveral Classes of Generalized Positive Definite Matrices[J];Chinese Journal of Engineering Mathematics;1993-02
9 You Zhaoyong; Huang Tinzhu(Xi' an Jiaotong University) (UEST, Chengdu);Properties of Two Classes of Partitioned Matrices and Sufficient Conditions for Positive Stability and Sub-postive Definity of a Matrix[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1995-02
10 Sun Jiandong(Tank Aebdemy Teaching Research Section of Matematies);RESEARCHES OF IMPROPER POSITIVE DEFINITE MATRIX[J];Numerical Mathematics A Journal of Chinese Universities;1996-01
【Secondary References】
Chinese Journal Full-text Database 7 Hits
1 YUAN Huiping WANG Wenhui(College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China);Almost positive definite matrices[J];Journal of Liaoning Technical University(Natural Science);2009-01
2 ZHOU Shuo~(1,2),WU Bai-sheng~1(1.Institute of Mathematics,Jilin University,Changchun 130012,China;2.Department of Mathematics and Physics,Northeast China Institute of Electric Power Engineering,Jilin 132012,Jilin Province,China);Inverse Generalized Eigenvalue Problem for Symmetric Orthogonal Symmetric Matrices[J];Journal of Jilin University(Science Edition);2006-02
3 L Hong-bin~(1,3),YANG Zhong-peng~2(1.Institute of Mathematics,Jilin University,Changchun 130012,China;2.Department of Mathematics,Putian University,Putian 351100,Fujian Province,China;3.Department of Mathematics,Beihua University,Jilin 132033,Jilin Province,China);Oppenheim Inequality on Extended Sub-positive Definite Matrix[J];Journal of Jilin University(Science Edition);2006-04
4 LIU Yu,QIU Xiao-lin (Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou 521041,China);Strong Hermitian Matrix and Its Properties[J];Journal of Hanshan Normal University;2010-06
5 YUAN Hui-ping, GUO Wei (College of Math. and Statistics, Chongqing Technology and Business University, Chongqing,400067, China);DETERMINANTAL INEQUALITY OF ALMOST POSITIVE DEFINITE MATRICES[J];Journal of Mathematics;2008-05
6 GUO Wei(School of Science,Chongqing Technology and Business University,Chongqing 400067,China);Properties of generalized positive subdefinite matrix[J];Journal of Chongqing Technology and Business University(Natural Science Edition);2007-06
7 YANG Zhong-peng1,YAN Yi-shui1,2,CHEN Qing-hua2(1.Mathematics Department of Putian University,Putian 351100,China; 2.School of Mathematics & Computer Science,Fujian Normal University,Fuzhou 350007,China);On the Solutions of Quadratic Matrix Equation of Hermite and Sub-Hermite Matrix[J];Journal of Beihua University(Natural Science);2009-03
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 Hu Yongjian;Chen Gongning (Department of Mathematics, Beijing Normal University,100875, Beijing,PRC);SOME PROPERTIES ON REAL POSITIVE DEFINITE MATRICES[J];JOURNAL OF BEIJING NORMAL UNIVERSITY;1996-01
2 Yuan Chaowei(Institute of Vibration Engineering Northwestern Polytechnical University)You Zhaoyong(School of Science,Xi'an Jiaotong University);On Inequalities of Minkowski's Type[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1996-01
3 Xie Qingming (Dept. of Math., Xiangtan Univ., Hunan 411105);Several Open Problems of Subpositive Definite Matrices and Some Inequalities[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1998-01
4 Qin Zhao-hua;ON THE SUB-SYMMETRIC AND THE SUB-SKEW SYMMETRIC MATRICES[J];;1985-01
5 Yuan Huiping(Dept. of Mathemaics,Yuzhou University, Chongqing 40003);The sub-orthogonal matrix and the sub-symmetric matrix[J];JOURNALOF SOUTHWEST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE);1998-02
6 Qin Zhaohua(Dept,of Mathematics,Yuzhou Univ,Chongqing,630033);The Subtranspose of a Matrix and the Metapositive Definiteness of a Sub-symmetric Matrix[J];JOURAL OF YUZHOU UNIVERSITY(NATURAL SCIENCES EDITION);1994-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved