重庆工商大学学报（自然科学版）2016，Vol.33Issue(6)：44-46,3.DOI:10.16055/j.issn.1672-058X.2016.0006.009
非负对称矩阵谱半径定理的一个推广∗
A Generation of Spectral Radius Theorem of Nonnegative Symmetric Matrix
摘要
Abstract
The relation between spectral radius of matrix and system stability or algorithm convergence is very close.This paper uses block matrix and its related property to generalize one bounded value theorem of spectral radius ( Perron root) of nonnegative symmetric matrix into general Hermitian matrix,and obtains a bounded value theorem of spectral radius of general Hermitian matrix.Under some special conditions,the generalized bounded value theorem can receive better results.关键词
非负矩阵/谱半径/Hermitian矩阵/上界Key words
nonnegative matrix/spectral radius/Hermitian matrix/upper bound分类
数理科学引用本文复制引用
廖平,张子卫..非负对称矩阵谱半径定理的一个推广∗[J].重庆工商大学学报（自然科学版）,2016,33(6):44-46,3.基金项目
四川省教育厅自然科学基金项目（16ZB0393）． （）
