| Jacobi方法及其推广 |
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| 引用本文： | 王岩青,赵中华.Jacobi方法及其推广[J].解放军理工大学学报,2003,4(5):100-102. |
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| 作者姓名： | 王岩青 赵中华 |
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| 作者单位： | [1]解放军理工大学理学院，江苏南京211101 [2]南京财经大学，江苏南京210003 |
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| 摘 要： | 通过研究求严格对角占优对称矩阵最大单特征值的Jacobi方法，对其进行推广，得到了可同时求严格对角占优对称矩阵的几个最大重特征值或密集特征值的块Jacobi方法，并且说明了块Davidson方法可看作加速的块Jacobi方法，并举了数值例子对这2种方法进行了比较和分析。
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| 关 键 词： | 对称矩阵 特征值 严格对角占优矩阵 |
| 文章编号： | 1009-3443(2003)05-0100-03 |
| 修稿时间： | 2002年10月31 |
Jacobi Iteration Method and Its Generalization |
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| WANG Yan-qing and ZHAO Zhong-hua.Jacobi Iteration Method and Its Generalization[J].Journal of PLA University of Science and Technology(Natural Science Edition),2003,4(5):100-102. |
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| Authors: | WANG Yan-qing and ZHAO Zhong-hua |
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| Institution: | WANG Yan-qing~1,ZHAO Zhong-hua~2 |
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| Abstract: | In this paper, Jacobi iteration method (JOCC) is considered for finding approximation of the largest simple eigenvalue of a strongly diagonally dominant symmetric matrix, and block Jacobi iteration method is proposed for simultaneously computing a few of approximations of the largest eigenvalues of strongly diagonally dominant symmetric matrix, and it is shown that the block Davidson method can be referred to as an accelerated block Jacobi iteration method, and then some results of numerical test are presented so as to compare and analyse them. |
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| Keywords: | symmetric matrix eigenvalues strongly diagonally dominant symmetric matrix |
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