| k-广义酉矩阵 |
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| 引用本文： | 袁晖坪.k-广义酉矩阵[J].东北师大学报(自然科学版),2007,39(3):22-26. |
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| 作者姓名： | 袁晖坪 |
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| 作者单位： | 重庆工商大学理学院,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金资助项目(CSTS2005BB0243)，重庆市教委科学技术研究基金资助项目(3-10-71)，重庆市高校优秀中青年骨干教师科研基金资助项目 |
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| 摘 要： | 给出了k-广义酉矩阵的概念,研究了它的性质及其与酉阵、辛阵、Householder阵、Hermite阵、Hamilton阵及广义逆矩阵之间的联系,从而推广了酉矩阵、Hermite阵、斜Hermite阵及Householder阵的相应结果,并将正交阵的广义Cayley分解推广到了广义酉矩阵.
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| 关 键 词： | k-广义酉矩阵 酉矩阵 广义Hermite阵 广义逆矩阵 辛矩阵 |
| 文章编号： | 1000-1832（2007）03-0022-05 |
| 修稿时间： | 2006-12-02 |
The k-generalized unitary matrices |
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| YUAN Hui-ping.The k-generalized unitary matrices[J].Journal of Northeast Normal University (Natural Science Edition),2007,39(3):22-26. |
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| Authors: | YUAN Hui-ping |
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| Institution: | School of Science,Chongqing Technology and Business University,Chongqing 400067,China |
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| Abstract: | The concepts of k-generalized unitary matrix are given,its properties and relations between they and unitary matrix,symplectic matrix,Householder matrix,Hermite matrix,Hamilton matrix and generalized inverse matrix are studied.Moreover,the corresponding results on relations among unitary matrix,Hermite matrix,anti-Hermite matrix and Householder matrix are popularized,especially the Cayley decomposition of orthogonal matrix is extended to generalized unitary matrix. |
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| Keywords: | k-generalized unitary matrix unitary matrix generalized Hermite matrix generalized inverse matrix symplectic matrix |
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