| 线性变换正交次对角化讨论 |
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| 引用本文： | 郁金祥.线性变换正交次对角化讨论[J].哈尔滨师范大学自然科学学报,2006,22(1):42-46. |
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| 作者姓名： | 郁金祥 |
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| 作者单位： | 浙江省嘉兴学院 |
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| 摘 要： | 提出了双重正交特征向量概念,从线性变换角度出发给出了线性变换可正交次对角化的若干充要条件及相关的证明.并由此推得反对称变换必可正交次对角化,给出了正交次对角化的具体方法.
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| 关 键 词： | 线性变换 双重正交特征向量 正交次对角化 |
| 收稿时间： | 2005-05-27 |
| 修稿时间： | 2005年5月27日 |
THE DISCUSSION ON THE ORTHOGONAL SUB-DIAGONALIZATION OF LINEAR TRANSFORMATION |
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| Yu Jinxiang.THE DISCUSSION ON THE ORTHOGONAL SUB-DIAGONALIZATION OF LINEAR TRANSFORMATION[J].Natural Science Journal of Harbin Normal University,2006,22(1):42-46. |
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| Authors: | Yu Jinxiang |
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| Institution: | Zhejiang Jiaxing College |
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| Abstract: | The concepts of dual orthogonal latent vector are given.Some sufficient and necessary conditions of orthogonal sub-diagonalization of linear transformation are obtained.Then a inference that skew-symmetric transformation can be orthogonal sub-diagonalizated is obtained and the method of orthogonal sub-diagonalization is gived. |
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| Keywords: | Linear transformation Dual orthogonal latent vector Orthogonal sub-diagonalization |
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