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《》 1995-01
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Patel-Toda Inequality of a Real Quaternion Matrix and its Improvement

Yang Zhongpeng (Department of Mathematics)  
In this paper some inequalities of self-conjugate quaternion matrices are proved. They are generalizations and improvements of Patel-Toda inequalities of Hermitian matrices.
【CateGory Index】: O151.25
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【Citations】
Chinese Journal Full-text Database 7 Hits
1 Yang Zhongpeng;Tan Siven Jilin Teacher's College;Several Inequalitics of Self-Conjugate Quaternion Matrices[J];Journal of Northeast Normal University;1993-01
2 Xie Bangjie (Department of Mathematics);DETERMINANTS OF CENTRALIZABLE MATRICES OVER ANY SKEW-FIELD[J];Journal of Jilin University;1980-03
3 Cao Chongguang;Several Theorems of Self-Conjugate Quaternions Matrices[J];Journal of Mathematical Research and Exposition;1988-03
4 Huang Liping (Dept. of Baic Courses, Xiangtan Mining Institute, Xiangtan)He Xiangming (The Thirteenth Middle School, Liling, Hunan);Several Theorems on Centralizable Matrices over Skew Field[J];Journal of Mathematical Research and Exposition;1993-03
5 Yang ZhongpengDept.of Malit.,Jilin Teacher's College, Jilin);Estimation of Spectral Values of Quaternion Matrix with Real Spectral Values[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1994-03
6 Cao chongguang (HeilongJiang University);SOME INEQUALITY ON TRACE OF SELF-CONJUGATE QUATERNIANS MATRICES[J];Journal of Mathematics;1988-03
7 Yang Zhongpeng (Department of Mathematies, Jilin Teacher's Collge, Jilin, 132011);The Bushell-Trustrum Inequality of a Real Quarternion Matrix and its Improvement[J];Journal of Xinjiang University(Natural Science Edition);1993-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Yang Zhongpeng(Department of Mathematics);Solutions of Consistent Right Linear Equations over the Quaternion Field[J];;1996-02
2 Zhang Shuqing Liu Tiefeng;A Two Classes Diagonalization Matrix and Its Characteristic Roots and Determinant on the Division Ring[J];Journal of Changchun Post and Telecommunication Institute;1990-03
3 Zhang Qingcheng Zhang Zhaofeng(Dept.of math. of Jilin Vocational Teachers' College,Changchun, China,130052);The generalized convex inequality of the positive definite matrices[J];JOURNAL OF CHANGCHUN POST AND TELECOMMUNICATION INSTITUTE;1994-02
4 Zhang Qingcheng;Zhang Zhaofeng(Dept.of Math. of Jilin Vocational Teacher’s College.130052,Changchun,PRC);Properties of matrix determinant over the quaternion field[J];JOURNAL OF CHANGCHUN POST AND TELECOMMUNICATION INSTITUTE;1995-04
5 Zhou Gaolan ;Yang Zhongpeng (Dept. of Mathematics,Jilin Teachers College,Jilin, 132011 );Inequalities of Eigenvalues for Weak Cycle Products of Quaternion Matrices[J];Journal of Chongqing Teachers College(Natural Science Edition);1996-02
6 Wu Junliang(Dept of Mathmatics,Chongqing Teachers College,Chongqing,630047);Some Iequqlities About Eigenvalue Positive Definite Self-conjugate Quaternion Matrices[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1995-01
7 WU Xuesha(Chongqing College of Electronic Engineering,Chongqing 401331,China);Bounds of the Sum of Self-conjugate Quaternion Matrix Eigenvalues[J];Journal of Chongqing College of Electronic Engineering;2010-03
8 Zhuang Wajin Nanping Teachers' Training College;A NOTE ON SELF-CONJUGATE MATRICES OVER A SKEW FIELD[J];;1987-02
9 Li Wenliang(Dept. of Math. Changsha Univ. of Electr. Power Changsha 410077);Some Inequalities on Trace ofSelf-Conjugate Quaternionans Matrices[J];JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(SOCIAL SCIENCE);1996-01
10 Li Wenliang(Dept. of Math. and Computer Changsha Univ. of Electr. Power Changsha 410077);Some Famous Inequalities Extended to the Quaternionans Matrices[J];JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(SOCIAL SCIENCE);1996-03
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 Tu Boxun, (Department of Mathematics);ON THE RANK OF A MATRIX AND THE NONSINGULARITY OF A LOCAL-TRACE DOMINANT MATRIX[J];Journal of Fudan University;1991-01
2 Xie Bang-jie (Department of Mathematics);UNIQUENSS THEOREM OF REDUCED FORM OF THE CHARACTERISTIC MATRIX OVER A SKEW-FIELD[J];Journal of Jilin University;1979-01
3 Xie Bangjie(Department of Mathematics);SELF-CONJUGATE MATRICES AND DETERMINANTS OF QUATERNIONS[J];Journal of Jilin University;1980-02
4 Xie Bangjie (Department of Mathematics);DETERMINANTS OF CENTRALIZABLE MATRICES OVER ANY SKEW-FIELD[J];Journal of Jilin University;1980-03
5 Zhuang Wajin(Nanping Teachers College, Fujian);Inequalities of Eigenvalues and Singular Values for Quaternion Matrices[J];Advances In Mathematics;1988-04
6 Cao Chongguang;Several Theorems of Self-Conjugate Quaternions Matrices[J];Journal of Mathematical Research and Exposition;1988-03
7 Tu Boxun(Fudan University, China);Unitary Similarity Theory of Matrices Over the Strong p-Division Ring (Ⅲ)[J];Journal of Mathematical Research and Exposition;1989-01
8 Cao Chongguang(Heilongjiang University Harbin);Estimation of Eigenvalues of Product of two Self-Conjugate Semi-Positive Definite Quaternions Matrices[J];Journal of Mathematical Research and Exposition;1990-01
9 Yang Zhongpeng (Dept. Math., Jilin Teachers' College, China);Inequalities of Singular Values and Eingenvalues of Product of two Quaternion Matrices[J];Journal of Mathematical Research and Exposition;1992-04
10 Cao Chongguang (Heilongjiang University);THE NUMERICAL RADIUS OF REAL QUATERNION MATRIX[J];Journal of Xinjiang University(Natural Science Edition);1990-02
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