矩阵特征值新的分布区域刻画

J4 ›› 2011, Vol. 46 ›› Issue (6): 18-21.

矩阵特征值新的分布区域刻画

王大飞, 伍俊良

重庆大学数学与统计学院, 重庆 401331

收稿日期:2010-11-28 出版日期:2011-06-16 发布日期:2011-12-19
作者简介:王大飞(1983- ),男,硕士,研究方向为数值代数.Email:wangdafeijiayou@163.com
基金资助:
中央高校基金资助项目(CDJXS11100028)

A new characterization of the distribution areas of matrix eigen-values

WANG Da-fei, WU Jun-liang

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received:2010-11-28 Online:2011-06-16 Published:2011-12-19

摘要/Abstract

摘要：

探讨矩阵特征值新的分布区域,证明了任意矩阵的所有特征值都位于同一个圆盘,该圆盘能够更精确地估计矩阵特征值及其分布,并用实例验证了结果的有效性。

关键词: 特征值; 分布与估计; Euclidean范数

Abstract:

The new distribution areas of matrix eigenvalues are discussed. All the eigenvalues of an arbitrarily given matrix are located in the same disc, which accurately estimates eigenvalues of any matrix and their distribution. An example shows the effectiveness of the results.

Key words: eigen-values; distribution and estimation; Euclidean norm

王大飞, 伍俊良. 矩阵特征值新的分布区域刻画[J]. J4, 2011, 46(6): 18-21.

WANG Da-fei, WU Jun-liang. A new characterization of the distribution areas of matrix eigen-values[J]. J4, 2011, 46(6): 18-21.

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