| 矩阵广义对角化的探讨 |
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| 引用本文： | 王新哲,蒋艳杰.矩阵广义对角化的探讨[J].大学数学,2009,25(4). |
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| 作者姓名： | 王新哲 蒋艳杰 |
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| 作者单位： | 1. 保定学院,数学与计算机系,保定,071000
2. 华北电力大学,数理学院,保定,071051 |
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| 摘 要： | 利用子空间关于矩阵的最小多项式研究了矩阵可广义对角化的充要条件,给出了矩阵可广义对角化的一种算法.
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| 关 键 词： | 子空间关于矩阵的最小多项式 Krylov特征向量组 广义对角化矩阵 |
The Discussion on Generalized Diagonalization Matrix |
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| WANG Xin-zhe,JIANG Yan-jie.The Discussion on Generalized Diagonalization Matrix[J].College Mathematics,2009,25(4). |
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| Authors: | WANG Xin-zhe JIANG Yan-jie |
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| Abstract: | By mean of minimum polynomial of matrix for subspace,necessary and sufficient conditions for determining whether a matrix is a generalized diagonalization matrix is investigated,and a decision method of generalized diagonalization matrix is given. |
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| Keywords: | minimum polynomial of matrix for subspace Krylov characteristic vectors generalized diagonalization matrix |
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