| 矩阵特征值的估计与定位 |
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| 引用本文： | 钟绍军.矩阵特征值的估计与定位[J].长沙大学学报,2005,19(5):21-23,72. |
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| 作者姓名： | 钟绍军 |
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| 作者单位： | 武汉理工大学,理学院数学系,湖北,武汉,430070 |
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| 摘 要： | 对矩阵特征值估计和定位问题的两个重要结论Gerschgorin圆盘定理和Ostrowski圆盘定理进行了深入研究,并给出了便于应用的几个定理.同时对对角占优实矩阵给出了更加精确的估计和定位特征值的方法.
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| 关 键 词： | 特征值 圆盘定理 圆盘半径 对角占优 |
| 文章编号： | 1008-4681（2005）05-0021-03 |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005-05-10 |
Estimation and Location of Matrix Eigenvalue |
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| ZHONG Shaojun.Estimation and Location of Matrix Eigenvalue[J].Journal of Changsha University,2005,19(5):21-23,72. |
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| Authors: | ZHONG Shaojun |
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| Institution: | School of Sciences, Whuhan University of Technology, Wuhan, Hubei 430070 |
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| Abstract: | In this paper, we studied two important conclusions on the estimation and location problems of matrix eigenvalue - Gerschgorin Circular disc theorem and Ostrowski Circular disc theorem. Some theorems were given for application. A fortiori exactitude method was given for estimation and location of matrix eigenvalue of diagonal dominance. |
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| Keywords: | eigenvalue circular disc theorem circular disc radius diagonal dominance |
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