一类特殊矩阵谱条件数的注记

广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (2): 69-70.

一类特殊矩阵谱条件数的注记

广东工业大学应用数学学院,广东广州 510006

出版日期:2011-06-25 发布日期:2011-06-25
作者简介:陈建新（1977-），女，讲师，硕士，主要研究方向为矩阵扰动分析和系统稳定性分析.
基金资助:
广东工业大学青年基金资助项目（062059）

A Note on the Condition Number of Matrix Spectrum

Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China

Online:2011-06-25 Published:2011-06-25

摘要/Abstract

摘要： 研究得到了一类特殊矩阵谱条件数上界的估计,与现有文献中只讨论参数α>1时这类矩阵条件数界的不同,本文补充讨论了α≤1时条件数的上界,完善了相应文献对这类特殊矩阵条件数的估计.

关键词: 谱条件数;2范数;上界

Abstract: The upper bound of a special kind of condition number of matrix spectrum is researched and estimated. The research supplements the estimation of such condition number in corresponding literature.

Key words:
spectrum condition number; 2 norms; upper bound

陈建新. 一类特殊矩阵谱条件数的注记[J]. 广东工业大学学报, 2011, 28(2): 69-70.

CHEN Jian-Xin-. A Note on the Condition Number of Matrix Spectrum[J]. Journal of Guangdong University of Technology, 2011, 28(2): 69-70.

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