| 四元数矩阵的次对角化 |
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| 引用本文： | 凌思涛,姜同松.四元数矩阵的次对角化[J].临沂师范学院学报,2006,28(6):1-4. |
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| 作者姓名： | 凌思涛 姜同松 |
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| 作者单位： | 1. 曲阜师范大学,运筹与管理学院,山东,日照,276826
2. 曲阜师范大学,运筹与管理学院,山东,日照,276826;临沂师范学院,数学系,山东,临沂,276005 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10671086)，Shandong Natural Science Foundation of China(Y2005A12) |
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| 摘 要： | 给出了四元数矩阵次对角化的定义,研究了一个四元数矩阵可次对角化的充要条件,并给出了使其次对角化的一个方法．
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| 关 键 词： | 四元数域 矩阵 次对角化矩阵 |
| 文章编号： | 1009-6051（2006）06-0001-04 |
| 收稿时间： | 2006-11-01 |
| 修稿时间： | 2006年11月1日 |
Secondary Diagonalization Matrices over Quaternion Field |
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| LING Si-tao,JIANG Tong-song.Secondary Diagonalization Matrices over Quaternion Field[J].Journal of Linyi Teachers' College,2006,28(6):1-4. |
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| Authors: | LING Si-tao JIANG Tong-song |
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| Institution: | 1.College of Operations and Management, Qufu Normal University, Rizhao Shandong 276826, China; 2. Department of Mathematics, Linyi Normal University, Linyi Shandong 276005, China |
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| Abstract: | The concept of a secondary diagonalizable (sdiagonalizable) matrix over quaternion field is defined, necessary and sufficient conditions for determining whether a matrix over quaternion field is a sdiagonalizable matrix are studied, and a method of finding sdiagonalizable matrices is given. |
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| Keywords: | quaternion field matrix secondary diagonalization matrix |
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