| 友矩阵对角化的变换矩阵及其逆矩阵的求法 |
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| 引用本文： | 王莲花,鞠红梅,李珍萍.友矩阵对角化的变换矩阵及其逆矩阵的求法[J].河南教育学院学报(自然科学版),2010,19(3). |
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| 作者姓名： | 王莲花 鞠红梅 李珍萍 |
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| 作者单位： | 北京物资学院,信息学院,北京,101149 |
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| 基金项目： | 北京市教育委员会科研基地建设项目，北京市属高等学校人才强教计划资助项目 |
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| 摘 要： | 探讨在有互不相同特征值的条件下,化友矩阵为对角矩阵时的变换矩阵与范德蒙矩阵的关系,给出利用拉格朗日内插多项式求变换矩阵及其逆矩阵的方法,并通过具体例题展示该方法的实用性和优越性.
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| 关 键 词： | 友矩阵 变换矩阵 范德蒙矩阵 拉格朗日插值多项式 对角化 |
Method of Calculation on Transformation Matrix and Its Inverse Matrix of Companion Matrix Diagonalization |
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| WANG Lian-hua,JU Hong-mei,LI Zhen-ping.Method of Calculation on Transformation Matrix and Its Inverse Matrix of Companion Matrix Diagonalization[J].Journal of Henan Education Institute(Natural Science Edition),2010,19(3). |
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| Authors: | WANG Lian-hua JU Hong-mei LI Zhen-ping |
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| Institution: | WANG Lian-hua,JU Hong-mei,LI Zhen-ping(College of Information,Beijing Wuzi University,Beijing 101149,China) |
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| Abstract: | The relation on transformation matrix and Vandermonde matrix is discussed,when characteristic value of companion matrix is different.The method of calculation on transformation matrix and its inverse matrix is given,using Lagrange interpolate polynomial.Practicality and superiority of the method is shown by example. |
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| Keywords: | companion matrix transformation matrix Vandermonde matrix Lagrange interpolate polynomial diagonalization |
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