TECHNIQUES FOR IDENTIFYING INERTIALLY ARBITRARY PATTERNS

被引：13

作者：

Cavers, M. S. ^{[1
]}

Garnett, C. ^{[2
]}

Kim, I. -J ^{[3
]}

Olesky, D. D. ^{[4
]}

Van den Driessche, P. ^{[5
]}

Vander Meulen, K. N. ^{[6
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[3] Minnesota State Univ, Dept Math & Stat, Mankato, MN 56001 USA

[4] Univ Victoria, Dept Comp Sci, Victoria, BC V8W 3P6, Canada

[5] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[6] Redeemer Univ Coll, Dept Math, Ancaster, ON L9K 1J4, Canada

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2013年 / 26卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Inertially arbitrary; Nilpotent-centralizer method; Nilpotent-Jacobian method; Refined inertia; Sign pattern; Zero-nonzero pattern; NONZERO PATTERNS;

D O I：

10.13001/1081-3810.1640

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two techniques used to show a matrix pattern is spectrally arbitrary are the nilpotent-Jacobian method and more recently the nilpotent-centralizer method. This paper presents generalizations of both techniques, which are then used to show that certain non-spectrally-arbitrary patterns are inertially arbitrary. A flaw in a method used in three previous publications on inertially arbitrary patterns is discussed. By using the techniques developed here, it is shown that all of the patterns in the three papers affected by the flaw are nevertheless inertially arbitrary.

引用

页码：71 / 89

页数：19

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