| 复半正定矩阵的标准形及行列式模的不等式 |
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| 引用本文： | 马振军,刘秋香. 复半正定矩阵的标准形及行列式模的不等式[J]. 曲阜师范大学学报, 2000, 26(3): 39-42 |
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| 作者姓名： | 马振军 刘秋香 |
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| 作者单位： | [1]昌潍师范专科学校数学系,山东省潍坊市 [2]曲阜师范学校,山东省曲阜市 |
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| 摘 要： | 建立了复半正定矩阵的复相合标准形，由此得到复半正定矩阵行列式模的两个重要不等式，推广了Ｏｓｔｒｏｗｓｋｉｉ－Ｔｕｓｓｋｙ不等式及李俊杰（１９９５）文中的结果。
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| 关 键 词： | 复半正定矩阵 复相合 标准形 行列式 模 不等式 |
| 修稿时间： | 1999-10-22 |
THE CANONICAL FORM AND INEQUALITIES OF THE NORM OF DETERMINANT FOR COMPLEX SEMIDEFINITE POSITIVE MATRIX |
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| MA Zhen-jun,LIU Qiu-xiang. THE CANONICAL FORM AND INEQUALITIES OF THE NORM OF DETERMINANT FOR COMPLEX SEMIDEFINITE POSITIVE MATRIX[J]. Journal of Qufu Normal University(Natural Science), 2000, 26(3): 39-42 |
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| Authors: | MA Zhen-jun LIU Qiu-xiang |
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| Abstract: | The canonical form for complcx semidefinite positive matrix under complex congruence is established, therefore two important inequalities of the norm of determinant are obtaincd. Ostrowskii_Tausky's inequality and the corresponding results of Prof Li Junjie's(1995) are generalized. |
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| Keywords: | complex semidefinite positive matrix complex congruence canonical form |
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