| 矩阵的特征根与特征向量及其相似对角形的优化求法 |
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| 引用本文： | 王新民.矩阵的特征根与特征向量及其相似对角形的优化求法[J].数学的实践与认识,2011,41(6). |
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| 作者姓名： | 王新民 |
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| 作者单位： | 潍坊学院数学系,山东,潍坊,261061 |
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| 摘 要： | 研究了矩阵的特征根与特征向量及其相似对角形的优化求法.优化了文1]的方法,只要对矩阵A的特征矩阵λE-A施行初等变换化为对角形,即可同时求出A的特征根与特征向量,判断A是否可对角化.在A可对角化时,可直接写出相应的可逆矩阵T,使T~(-1)AT为对角形矩阵.
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| 关 键 词： | 特征根 特征向量 相似对角形 |
On the optimized Method for the Characteristic Values, the Characteristic Vectors and the Resemble Diagonal Form of a Matrix |
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| WANG Xin-min.On the optimized Method for the Characteristic Values, the Characteristic Vectors and the Resemble Diagonal Form of a Matrix[J].Mathematics in Practice and Theory,2011,41(6). |
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| Authors: | WANG Xin-min |
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| Abstract: | In this paper,a optimized method for the characteristic values,the characteristic vectors and the resemble diagonal form of a matrix is studied.With the optimized method,we can obtain the characteristic values and the characteristic vectors,judge the diagonalization of the matrix,write out the reversible matrix T satisfying T~(-1) AT is a diagonal matrix if A is a diagonalization matrix at the same time more easily. |
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| Keywords: | characteristic value characteristic vector resemble diagonal form |
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