| 正交矩阵的充要条件与O-正交矩阵的性质 |
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| 引用本文： | 许永平,石小平.正交矩阵的充要条件与O-正交矩阵的性质[J].南京林业大学学报(自然科学版),2005,29(2):54-56. |
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| 作者姓名： | 许永平 石小平 |
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| 作者单位： | 南京林业大学信息科学技术学院,江苏,南京,210037 |
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| 基金项目： | 江苏省高校自然科学研究计划(163070001)，南京林业大学科研基金项目(063070720) |
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| 摘 要： | 定义了O 正交矩阵、R 正交矩阵、L 正交矩阵等概念,并分析了右转置矩阵、左转置矩阵和全转置矩阵与正交矩阵的关系,得到正交矩阵的充分必要条件。并给出了 O 正交矩阵、R 正交矩阵、L 正交矩阵的一些相关结论。
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| 关 键 词： | 右转置矩阵 左转置矩阵 全转置矩阵 O正交矩阵 R正交矩阵 L正交矩阵 |
| 文章编号： | 1000-2006(2005)02-0054-03 |
| 修稿时间： | 2003年12月15 |
The Sufficient and Essential Conditions of Orthogonal Matrix and Some Properties of O-orthogonal Matrix |
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| XU Yong-ping,SHI Xiao-ping.The Sufficient and Essential Conditions of Orthogonal Matrix and Some Properties of O-orthogonal Matrix[J].Journal of Nanjing Forestry University(Natural Sciences ),2005,29(2):54-56. |
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| Authors: | XU Yong-ping SHI Xiao-ping |
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| Abstract: | The right-transposed,left-transposed and full-transposed matrices were introduced in the paper \ and some properties of them were given.This paper also gave the definition of some concepts of O-orthogonal,R-orthogonal and L-orthogonal matrices and some necessary and sufficient conditions and some related conclusions of O-orthogonal,R-orthogonal and L-orthogonal matrices. |
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| Keywords: | Right-transposed matrix Left-transposed matrix Full-transposed matrix O-orthogonal matrix R-orthogonal matrix L-orthogonal matrix |
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