| 广义Hamilton矩阵与广义共轭辛矩阵 |
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| 引用本文： | 张琴.广义Hamilton矩阵与广义共轭辛矩阵[J].吉林建筑工程学院学报,2006,23(1):60-62. |
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| 作者姓名： | 张琴 |
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| 作者单位： | 吉林建筑工程学院,基础科学部,长春,130021 |
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| 摘 要： | 提出了广义共轭辛矩阵的概念,对它们的基本性质进行了深入研究,并讨论了广义Hamilton矩阵的一些性质,给出了广义Hamilton矩阵与广义共轭辛矩阵之间的联系,获得了一些结果,推广了酉矩阵,Hermite矩阵与斜Hermite矩阵相应的结果,将正交矩阵的广义Cayley分解推广到广义共轭辛矩阵.
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| 关 键 词： | 广义Hamilton矩阵 正交反对称矩阵 广义共轭辛矩阵 |
| 文章编号： | 1009-1288(2006)01-0060-03 |
| 收稿时间： | 06 13 2005 12:00AM |
| 修稿时间： | 2005年6月13日 |
Generalized Hamilton Matrix and Generalized Conjugate Matrix |
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| ZHANG Qin.Generalized Hamilton Matrix and Generalized Conjugate Matrix[J].Journal of Jilin Architectural and Civil Engineering,2006,23(1):60-62. |
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| Authors: | ZHANG Qin |
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| Affiliation: | Basic Science Department ,Jilin Architectural and civil Engineering Inustitute , Changchun 130021 |
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| Abstract: | Generalized conjugate matrix and the their fundational properties are researched,we discuss the properties of generalized Hamilton matrix,the relation between the generalized conjugate matrix and generalized Hamilton matrix is given and many results are obtained.Moreover the corresponding results on relations among unitary matrix,Hermite matrix and anti-Hermite matrix are popularized,especially the Cayley decomposition of orthogonal matrix is extended to generalized conjugate matrix. |
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| Keywords: | generalized Hamilton matrix orthogonal anti-symmetric matrix generalized conjugate matrix |
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