| 全对称实矩阵的一个简便算法及性质 |
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| 引用本文： | 涂文彪,陈琳.全对称实矩阵的一个简便算法及性质[J].洛阳师范学院学报,2002,21(5):10-14. |
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| 作者姓名： | 涂文彪 陈琳 |
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| 作者单位： | 南通师范学院数学系,江苏,南通,226007 |
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| 摘 要： | 本文将全对称实矩阵的计算转化为两个阶数较低的对称矩阵的计算 ,从而使计算量大为减少 ,并证明了全对称实矩阵的n个两两正交的特征向量可以由具有所谓中心对称向量和反中心对称向量形式的向量组成 .
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| 关 键 词： | 全对称矩阵 排列矩阵 中心对称向量 反中心对称向量 |
| 文章编号： | 1009-4970(2002)05-0010-05 |
| 修稿时间： | 2002年3月8日 |
An Easy and Convenient Computational Method and the Properties of Full Symmetric Real Matrices |
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| TU Wen biao,CHEN Lin.An Easy and Convenient Computational Method and the Properties of Full Symmetric Real Matrices[J].Journal of Luoyang Teachers College,2002,21(5):10-14. |
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| Authors: | TU Wen biao CHEN Lin |
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| Abstract: | In this paper converts the computation of a full symmetric real matrix into the computation of two symmetric real matrices with lower order, therefore, the amount of computational is reduced significantly.Proved that n orthogonal each other of characteristic vectors of full symmetric read matrices can be composed of vectors in the forms of so called central symmetric vectors and anticentral symmetric vectors. |
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| Keywords: | full symmetric matrix permutation matrix central symmetric vector anti central symmetric vector |
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