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合同变换在对称矩阵对角化中的几个特性
引用本文:付立志.合同变换在对称矩阵对角化中的几个特性[J].三门峡职业技术学院学报,2005,4(3):35-36.
作者姓名:付立志
作者单位:焦作大学,河南,焦作,454003
摘    要:在对称矩阵的对角化中,合同变换显现出模型化、程序化的简便性,变换和结果的多样性,变换矩阵列向量与对角阵对角线元素的对应性,变换结果整数化、有理化和标准化处理的方便性等特性。本文有针对性地进行了探讨,并给出了必要的证明和举例说明。

关 键 词:合同变换  对称矩阵  对角化  特性
文章编号:1671-9123(2005)03-0035-02
修稿时间:2004年7月20日

Some Features About Contragradient Transformation in Diagonalization of Symmetric Matrix
FU Li-zhi.Some Features About Contragradient Transformation in Diagonalization of Symmetric Matrix[J].Journal of Sanmenxia Polytechnic,2005,4(3):35-36.
Authors:FU Li-zhi
Institution:Basic Science Department of Jiaozuo University 454003
Abstract:In diagonalization of symmetric matrix, the contragradient transformation shows that the simplicity of model and procedure, varieties of transformation and result, correspondence of series vectors of transformation matrix and elements of diagonal matrix and diagonal matrix's diagonal line, and the simplicity of integralization of transformation's result rationalization and standardization's handle and also other features. This paper probed this question on purpose, and meanwhile offered some important proof as well as examples.
Keywords:contragradient transformation  symmetric matrix  diagonalization  features  
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