A CHARACTERIZATION OF STRONG REGULARITY OF INTERVAL MATRICES

被引：0
|
作者：
Rohn, Jiri [1 ,2 ]
机构：
[1] Acad Sci Czech Republic, Inst Comp Sci, Prague, Czech Republic
[2] Anglo Amer Univ, Sch Business Adm, Prague, Czech Republic
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2010年 / 20卷
关键词：
Interval matrix; Strong regularity; Spectral radius; Matrix inequality; Solvability;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As the main result of this paper it is proved that an interval matrix [Lambda(c)-Delta, Lambda(c)vertical bar Delta] is strongly regular if and only if the matrix inequality M (I - vertical bar I -RA(c)vertical bar - vertical bar R vertical bar Delta) >= I has a solution, where M and R are real square matrices and M is nonnegative. Several consequences of this result are drawn.
引用
收藏
页码：717 / 722
页数：6
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