| 矩阵特征值的一类新的包含域 |
| |
| 引用本文： | 李华.矩阵特征值的一类新的包含域[J].纯粹数学与应用数学,2010,26(4):673-678. |
| |
| 作者姓名： | 李华 |
| |
| 作者单位： | 河南城建学院数理系,河南,平顶山,467044 |
| |
| 摘 要： | 用盖尔圆盘定理来估计矩阵的特征值是一个经典的方法,这种方法仅利用矩阵的元素来确定特征值的分布区域.本文利用相似矩阵有相同的特征值这一理论,得到了矩阵特征值的一类新的包含域,它们与盖尔圆盘等方法结合起来能提高估计的精确度.
|
| 关 键 词： | 特征值 广义盖尔圆盘定理 估计 |
A class of new inclusion regions for eigenvalues of matrices |
| |
| LI Hua.A class of new inclusion regions for eigenvalues of matrices[J].Pure and Applied Mathematics,2010,26(4):673-678. |
| |
| Authors: | LI Hua |
| |
| Institution: | LI Hua(Department of Mathematics , Physics,Henan University of Urban Construction,Pingdingshan 467044,China) |
| |
| Abstract: | It is a classical method to use the Gersgorin-disc theorem to estimate eigenvalues of a matrix.This method only uses elements of matrix to identify the distribution of eigenvalues.In this paper,a class of new inclusion regions,based on the fact that the similar matrices have same eigenvalues,are presented.The accuracy for estimating eigenvalues will be improved if one combines the results with the Gersgorin-disc theorems. |
| |
| Keywords: | eigenvalue extended Gersgorin-disc theorem estimation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
