| 实次对称矩阵的推广与次对称变换 |
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| 引用本文： | 陈特清,徐金平,谢溪庄.实次对称矩阵的推广与次对称变换[J].内江师范学院学报,2012,27(10):1-3. |
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| 作者姓名： | 陈特清 徐金平 谢溪庄 |
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| 作者单位： | 1. 闽南理工学院信息管理系,福建石狮,362700
2. 华侨大学数学科学学院,福建泉州,362021 |
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| 基金项目： | 福建省教育厅科技项目(JB11211) |
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| 摘 要： | 一方面用较简便的方法证明实次对称矩阵的若干性质,并进行一些推广,另一方面对次对称变换进行探究,得到次对称变换的若干性质,并将次对称矩阵和次对称变换统一起来,具有一定的理论价值与实践意义.
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| 关 键 词： | 次对称矩阵 广义次对称矩阵 次对称变换 欧氏空间 次特征值 次特征向量 |
The Extension of Real Sub-symmetric Matrix and Sub-symmetrical Transformation |
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| CHEN Te-qing
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XU Jin-ping
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XIE Xi-zhuang.The Extension of Real Sub-symmetric Matrix and Sub-symmetrical Transformation[J].Journal of Neijiang Teachers College,2012,27(10):1-3. |
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| Authors: | CHEN Te-qing XU Jin-ping XIE Xi-zhuang |
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| Institution: | 1.Institute of Information Management,Minnan University of Science and Technology,Shishi,Fujian 362700,China; 2.School of Mathematical Science,Huaqiao University,Quanzhou,Fujian 362021,China) |
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| Abstract: | On the one hand,some properties of real sub-symmetric matrix are proved with a simple method,and some extension is made accordingly.On the other hand,Sub-symmetric transformation is discussed,and several properties of sub-symmetric transformation are obtained,and real sub-symmetric matrix and sub-symmetric transformation are unified,which is of certain theoretical and practical value. |
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| Keywords: | sub-symmetric matrix generalized sub-symmetric matrix sub-symmetric transformation Euclidean space sub-eigenvalue sub-eigenvector |
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