FORTY NECESSARY AND SUFFICIENT CONDITIONS FOR REGULARITY OF INTERVAL MATRICES: A SURVEY

被引：0

作者：

Rohn, Jiri ^{[1
,2
]}

机构：

[1] Acad Sci Czech Republic, Inst Comp Sci, Prague, Czech Republic

[2] Angloamer Univ, Sch Business Adm, Prague, Czech Republic

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2009年 / 18卷

关键词：

Interval matrix; Regularity; Singularity; Necessary and sufficient condition; Algorithm; NP-HARD; SOLUTION SET; SYSTEMS; EQUATIONS; BOUNDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is a survey of forty necessary and sufficient conditions for regularity of interval matrices published in various papers over the last thirty-five years. A full list of references to the sources of all the conditions is given, and they are commented on in detail.

引用

页码：500 / 512

页数：13

共 50 条

[31] Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices (vol 39, pg 1251, 1994)
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[32] SIMPLIFIED SUFFICIENT CONDITIONS FOR THE ASYMPTOTIC STABILITY OF INTERVAL MATRICES
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[33] Necessary and sufficient conditions for parallel summable matrices to be simultaneously diagonable
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[36] Necessary and sufficient conditions for the controllability of linear interval descriptor systems
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[40] A NECESSARY AND SUFFICIENT CONDITION FOR THE POSITIVE-DEFINITENESS OF INTERVAL SYMMETRICAL-MATRICES
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